Physics Unit8: Rotational Motion - https://webassign.org

1#

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Angular displacement is u4p8g)6 dha iqsymzlt4y- zhn- .kr)/ usually express in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expmz/gj2) k9cu pressed in units of

A. meters per second.

B. radians per second.

C. omegas per second.

D. arcs per second.

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3#

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Angular acceleration is ex/zpduqe5p5 6rpressed in units of

A. meters per second squared.

B. radians per second squared.

C. alphas per second squared.

D. arcs per second squared.

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4#

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A boy and a girl are ridi9; *e- tn0th zhoiaf5yng on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular dia5 zti0;o t yefhhn-9*splacement?

A. the boy

B. the girl

C. Both have the same non-zero angular displacement.

D. Both have zero angular displacement.

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5#

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A boy and a girl are riding on a merry-goce i y -8zztt*8gwk(f;-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has 8 g* ktfe(czt8i;wy-z the greater angular speed?

A. the boy

B. the girl

C. Both have the same non-zero angular velocity.

D. Both have zero angular velocity.

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6#

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A boy and a girl are riding onzke) ;z b5tm3l a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater 3 zkz mt);el5blinear speed?

A. the boy

B. the girl

C. Both have the same non-zero translational velocity.

D. Both have zero translational velocity.

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7#

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A boy and a girl are riding a m. ofovnk qylxq .b:72nz*/ +leerry-go-round which is turning at a constant rate. The boy is near the outer edge, while t2l: l+oq ve7 /*bnnx.ozq.fy khe girl is closer to the center. Who has the greater centripetal acceleration?

A. the boy

B. the girl

C. Both have the same non-zero centripetal acceleration.

D. Both have zero centripetal acceleration.

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8#

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A boy and a girl are riding a merry-go-round which is turning at a constant3*sg*) t*tut+jiidnv4 bon; slm-, ho rate. The boy is near the outer edge, while v ldu4 gi sjm* o3,o-*tt)i;tn+*nbs hthe girl is closer to the center. Who has the greater tangential acceleration?

A. the boy

B. the girl

C. Both have the same non-zero tangential acceleration.

D. Both have zero tangential acceleration.

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9#

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Consider a rigid body that is rotating. Which of thr :1kb4 fbe9tbe following is an accurate stateme41bfr t:bekb 9nt?

A. Its center of rotation is its center of gravity.

B. All points on the body are moving with the same angular velocity.

C. All points on the body are moving with the same linear velocity.

D. Its center of rotation is at rest, i.e., not moving.

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10#

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Rolling without slipp -t pe-/f17-5ccd*vhc+ mof defa y75hejjk)ping depends on

A. kinetic friction between the rolling object and the ground.

B. static friction between the rolling object and the ground.

C. tension between the rolling object and the ground.

D. the force of gravity between the rolling object and the Earth.

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11#

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Two equal forces are appli ehl9 u/(,ebjgx n: i:j-+yzmow fw-)jed to a door. The first force is applied at the midpoint of the door; the second force is applied at the doorknob. Both forces are applied perpefgmjz x-eyu )whbl:(9n+-ojjw:i,/endicular to the door. Which force exerts the greater torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied to a dob-ze w7 t;*hpxm0 ks,oor at the doorknob. The first force is applie,0kt;x-7oewz sbmh * pd perpendicular to the door; the second force is applied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque?

A. the first applied perpendicular to the door

B. the second applied at an angle

C. both exert equal non-zero torques

D. both exert zero torques

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13#

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Two forces are applied to a doorknob, perpendicular to the door. The fyy)gqj/. jd8 uirst force is twice as large as the second force. The ratio of the torque of the j/.gj)y8q dy ufirst to the torque of the second is

A. 1/4.

B. 1/2.

C. 2.

D. 4.

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14#

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What is the quantity used to measure nr88v r;l (lmjan object's resistance to changes in rotati;8mr(llrj n8v on?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid spheres where both have the same z+ma.kwg1db9mv 6e:v /8n0zueo h9 u ydiameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to that of the smaller moment of inerti6hbezzguk1advm+e8wn o9 u0 9vm: y./a is

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16#

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Two uniform solid spheres have the same mass, but one has twice the radius of x h8; .g hmvz0y,w4ytnthe other. The ratio of the larger sphere's moment of inertia to that of the vn8;h0mt w4,y . gyhxzsmaller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform solid spheres lw,gt x ow )gzeq)6-oje-ott 6 /h63wewhere one has twice the mass and twice the diameter of the othero,e)t/-qth)xtww66g3 lez- oge jwo6 . The ratio of the larger moment of inertia to that of the smaller moment of inertia is

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18#

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A uniform solid sphere has mass M and radius R. If these are increased toj,ewy1x5pr.b3d w*.h a tko3 w 2M and 3R, what haw3y,w..w b x p hoa*dj3k1re5tppens to the sphere's moment of inertia about a central axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

If a constant net torque is applierpq 0ehs8 /2ird to an object, that object will

A. rotate with constant angular velocity.

B. rotate with constant angular acceleration.

C. having an increasing moment of inertia.

D. having a decreasing moment of inertia.

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20#

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The moment of inertia of a solid cylinder aboutpx 41bpmbc:.t its axis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic enecx4:.p t1mpb brgy to its translational kinetic energy is

A. 1:1

B. 1:2

C. 2:1

D. 1:3

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21#

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Consider a motorcycle l;7fyf3gi. zzof mass 150 kg, one wheel of which has a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to the total translational kinetic energy of the bike? Assume the yz. f;gfl3 7izwheels are uniform disks.

A. 0.033:1

B. 0.067:1

C. 0.33:1

D. 0.67:1

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22#

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Suppose a solid sphere(luyno3 li:* eq 0as)n of mass M and radius R rolls without slipping down an inclined plane starting from rest. The linear velocu3n o ll0qa)isy:(en*ity of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

C. both the mass and the radius of the sphere.

D. neither the mass nor the radius of the sphere.

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23#

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Suppose a solid sphere of mass M and radius R rolls with2ak2d)z q2dww18dsf+ ; wmxdjd:p)rr out slipping down an inclined pls 2w):2qdjp w2+rd ddfa xk m8zd)r;w1ane starting from rest. The angular velocity of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

C. both the mass and the radius of the sphere.

D. neither the mass nor the radius of the sphere.

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24#

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"The total angular momentum of a system of particles chanzkep ;t *6 ll0*dqedb6ges when a net external force acts on the systemd60 be **kdtz;pll6eq." This statement is

A. always true.

B. never true.

C. sometimes true. It depends on the force's magnitude.

D. sometimes true. It depends on the force's point of application.

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25#

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In what circumstances can the angular velocity of system of particles changaqun/ d z3*z1t) +vlzae without any change in t)1vua dl+z* tnzaz/3q he system's angular momentum?

A. This cannot happen under any circumstances.

B. This can happen if a net external force acts on the system's center of mass.

C. This can happen if the only forces acting are internal to the system.

D. This can happen if an external net torque is applied properly to the system.

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26#

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The Earth orbits the Sun in an elliptical orbit. Ignorpq -rul4v)b 08yjpj1re any friction which may be present. What happens over time to the Earth's angular momeqlv8-by jp 0p)rr 14ujntum about the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

D. It increases during some parts of the orbit, and decreases during others.

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27#

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The Earth moves about the Sun in an elliptical orbit. As the Earth mo2h:hnt0u19dzqu ; 4uk x/kiwno + .svwves close to the Sun, then which of the following best describes the orbiting speed of th v0+kdh uz:w2i nks.1unq/9ow4tux h;e Earth about the Sun?

A. increases

B. decreases

C. remains constant

D. none of the above

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28#

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An ice skater performs a pirouette (a fast spin)f68l fs gb5jd) o(9qgz by pulling in his outstretched arms close to his body. What happens to his angul ld)9(86 fgs5fjgbzoqar momentum about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

D. It changes, but it is impossible to tell which way.

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29#

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An ice skater performs a p q )x ;6qz xc;7aa5oa-jcxst*birouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his rctq5x7s;xqx -azcob* a ;j6a)otational kinetic energy about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

D. It changes, but it is impossible to tell which way.

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30#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

An ice skater performs a pirouette (a fast spin) by pulling in his outstretcu 6ago-a*v*ebxy lam4*f s2*ihed arms close to his body. What happens to his moment of inertia about the ab2a af*eo *g*v4 u a-6iyslmx*xis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

D. It changes, but it is impossible to tell which way.

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31#

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State the law of conservation of arryp kur-4*k2)ug7vjq5yg0 a ngular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

What arc length does the Earth travel in a three month period in its nearly civxr -vyhw0 opm/ayms 1cs;(av7y)j-.rcular orbit abh(r- y17w.avj-o y svy /;mc x0aspmv)out the Sun with a radius of $1.5 \times 10^{11} \; m$?

A. $1.2 \times 10^{11} \; m$

B. $1.8 \times 10^{11} \; m$

C. $2.4 \times 10^{11} \; m$

D. $3.0 \times 10^{11} \; m$

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33#

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The second hand of a clock has a length of 0.30 m. Wha :ca+v8lc,aa 3; udxgzmwb+)jt distance does the tip of thdxzluacajabw ,v: c+);3g 8m+e second hand sweep through in 3 minutes and 45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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How many rad/s is 25pd76qf+z9b5 exm yqqnv k:5*.ni w 4ju revolutions per minute equivalent to?

A. 0.42 rad/s

B. 2.6 rad/s

C. 160 rad/s

D. 240 rad/s

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35#

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A bicycle wheel rota8trp+lr3 )-oqvve:ftamv7 1b tes uniformly through 2.0 revolutions in 4.0 s. What is the frequency of the wheel's rotatio b 8:tptoveml)v1 rq+-3farv7 n?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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A pulsar (a rotating neutron star) emits pulses at a frequency of 0.40 2/q ,d d6dcgoye;- dffkHz. The perg /6fdey2 q,dfddo;c -iod of its rotation is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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A phonograph record rotates at 45 rpm. Through what angle does it turn ixk8d eijiq* )e+m58la kn(dn;n 0.20 s?+exa nel58j;i(qm)k8dn*dk i

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel of diameter 26 cm turns at 1500 rpm. How far will a point on the ouflsp-f y22 xu8ter r8s2 - x2ylpuffim move in 2.1 s?

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A bicycle wheel rotates uno ee* ip2-nrqrx7 /abl 63l)rj46a ayzawf2 c:iformly through 2.0 revolutions in 4.0 s. What is the averag/a64rpqye rle7 zfbx6ija2n2ol) :*acr-a 3w e angular speed of the wheel?

A. 0.79 rad/s

B. 1.6 rad/s

C. 3.1 rad/s

D. 6.3 rad/s

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40#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. Wha88, ai0t 55 4dhql4shrwz fyydoj3q e0wad,p4 t is the linear speed of a point 0.10 m from th 0yo 80dd5wla8h4ft 5 e4hrw4sdqzp ,y q,i3aje center of the wheel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A cable car at a ski resort carries skiers h6hmsjiteo0)gh u gkv59w+ 5sdce++ +a distance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast must the pulley rotate f ksu+ho+s+5wtd g jvi+65 hgm)0chee9or the cable car to make the trip in 12 minutes?

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel of radius 1.0 m is rotating wbgki) t1kbyb8 )-oj.nith a constant angular speed of 2.0 rad/s. What is the linear spnj)by k) gbiob. -tk18eed of a point on the wheel's rim?

A. 0.50 m/s

B. 1.0 m/s

C. 2.0 m/s

D. 4.0 m/s

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43#

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The cutting cord on a gas-powered weed cutter is 0.16 m,z yi:w9mrdx *n1. zq ;atg 0qi1utv/v in length. If the motor rotates at the rate of 20 rev/s, what is the approximgvadt,y zu:ntq*i;w. 19x0 /r zi1qvm ate linear speed of the end of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel of radius 1.0 m is rotating with a constant angular speed of 2.0 rad w b ;nm1fwan8u:c5(fn/-e0cu-hc31wxktg u q/s. What is the centripetal acceleration of a point onu:ch1-(nc-; tgca5enw0mbffk 3/ 8 u unqxww 1 the wheel's rim?

A. $0.50 \; m/s^2$

B. $1.0 \; m/s^2$

C. $2.0 \; m/s^2$

D. $4.0 \; m/s^2$

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45#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

What is the centripetal acceleration of a point on the perimeter of a bicycle whsc r8gefz8-jx5tgh :5eel of diameter 70.0 cm when the bike is moving 8.00 m/s?hsf8c5 -g:xej 8rtzg5

A. $91.0 \; m/s^2$

B. $183 \; m/s^2$

C. $206 \; m/s^2$

D. $266 \; m/s^2$

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46#

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How many revolutions per minute (m(cc or5i 9/val km6ia jfl6+:rpm) must a circular, rotating space station (r = 1000 m) rotate c(6k6l/fc5io:mr+lvai 9 a jm to produce an artificial gravity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A car is negotiating a flat circular curve ox 3n e/pihgcqf6*9g/ff 7j-i if radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static friction) isi phfx *f96i/e3g/ q-ijn7 gfc $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

A. $0.40 \; m/s^2$

B. $0.80 \; m/s^2$

C. $4.0 \; m/s^2$

D. $8.0 \; m/s^2$

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48#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A car is negotiating a flattb k)+,s;v ezy circular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by stsv) ;ez,tk +byatic friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

A. $0.50 \times 10^{3} \; kg$

B. $1.0 \times 10^{3} \; kg$

C. $1.5 \times 10^{3} \; kg$

D. $2.0 \times 10^{3} \; kg$

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49#

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A 0.300-kg mass, attached to the end of a 0.750-m s*m xpuwr0*be- h*4mld tring, is whirled around in a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linear speed can the mass have if the string is not to breakwrh**bml0 4 xm*pue- d?

A. 19.4 m/s

B. 22.4 m/s

C. 25.0 m/s

D. 32.7 m/s

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50#

Fill-in-Blank ( 1.0 marks) Whole-Paper View Save Problem

A bowling ball of mass 7.5 kg and radius 9.0 cm rolls without slipping 1pza7 xz* x)-wxf cc62+1udbal 0 m down a lane a+xd b uwaa2x x* pc-6lf)z1z7ct 4.3 m/s.
(a) Calculate the angular displacement of the bowling ball.   rad ( fill in numbers only)
(b) Calculate the angular velocity of the bowling ball   rad/s ( fill in numbers only)
(c) Calculate the radial acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)
(d) Calculate the tangential acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)

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51#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel accelerates with a constant angular acceleration of o9 ku80,vjnav$4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angle the wheel rotates through in 2.0 s?

A. $11 \; rad$

B. $9.0 \; rad$

C. $7.0 \; rad$

D. $4.5 \; rad$

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52#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel accelerates with a constant angular accelerati1c un af,x alwqs*o*; y3dm9o;on of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angular velocity at t = 2.0 s?

A. 1.0 rad/s

B. 7.0 rad/s

C. 9.0 rad/s

D. 10 rad/s

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53#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

How many radians does a 0.300-m radius automobile r+9le4xms n( r/mjrf4k0a5fn tire rotate after starting from rest and accelerating at a constant angular acceleratir feknn0 j xa5s9/l4rrf4 mm+(on of $2.00 \; rad/s^2$ over a 5.00-s interval?

A. $1.00 \; rad$

B. $2.00 \; rad$

C. $12.5 \; rad$

D. $25.0 \; rad$

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54#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel starts at re844ob.b+ mzkj oxj m8* f-djiz 1q8mcmst, and has an angular acceleration of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s?

A. $36 \; rad$

B. $18 \; rad$

C. $12 \; rad$

D. $9.0 \; rad$

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55#

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A Ferris wheel rotating at 20 rad/s decelerates with a constant angular cnbc6rx/cf/6qwc1)ex 2 mcu6 ( zn3 1dk(xaokacceleration o66o func (cmxxnr/1e( )kw23cd ca/kxbcz 1q 6f $-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest?

A. 40

B. 20

C. 6.4

D. 3.2

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56#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel starts from rest and reaches an angular speed of 6.0 rad/s while tur 7cm4e lhsd/s3ning through 2.0 revolutions. 3sdh /7sem4cl What is the average angular acceleration of the wheel?

A. $0.24 \; rad/s^2$

B. $1.4 \; rad/s^2$

C. $3.0 \; rad/s^2$

D. $9.0 \; rad/s^2$

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57#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to rest op suibkz3 0v,;ver a distance of 115 m. What is the total number ofvk0p;,bzsi3 u revolutions the wheel rotates in coming to rest?

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel of diameter of 68.0 cm slowsp2wr 0tj ,b2m cz0szul( epnrbp,+8+39 sxkmf down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the angular accelerap8+bzm3 p009+wc(nlermbks rzp2f j,, 2u xt stion?

A. $-1.80 \; rad/s^2$

B. $-0.90 \; rad/s^2$

C. $-5.65 \; rad/s^2$

D. $-11.3 \; rad/s^2$

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59#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel of diameter of 68.0 cm slows down uniforml xd+ 8ol8ta.,am(vuml y from 8.40 m/s to rest over a distance of 115 m. How long does it take for the wh8a8u mtv+xd l.,l moa(eel to come to the stop?

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

Fill-in-Blank ( 1.0 marks) Whole-Paper View Save Problem

A centrifuge in a medical laboratory rotates at a rotatfudm34)n)zlg ional speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular acceleration before u 4 d)3)gnmzlfcoming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

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61#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

The bolts on a car wheel require tightening to a torque of 90 Nm. If a l/sr o+w(sb+e30 cm long wrench is used, what is the magnitude of the force required when / bw+os rs+l(ethe force applied at $53^{\circ}$ to the wrench?

A. $190 \; N$

B. $380 \; N$

C. $19 \; N$

D. $38 \; N$

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62#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel with moment of ib,2y/u:q1nrp-mtztk(m 0h n + lc) qkenertia $3.00 kgm^{2}$ has a net torque of 3.50 Nm applied to it. What angular acceleration does it experience?

A. $0.857 \; rad/s^2$

B. $1.17 \; rad/s^2$

C. $3.00 \; rad/s^2$

D. $3.50 \; rad/s^2$

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63#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A triatomic molecule is modeled as followsgbctjt;ci ;; ;: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertia about the cgci;t;b tj;; origin?

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A solid cylinder of mass 10 kg is pivoted about a frictionless axisy r pxj-(ci0-k hyqu9- thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleratiuh rj- yic9x- 0(pqky-on of the cylinder?

A. $1.0 \; rad/s^2$

B. $0.60 \; rad/s^2$

C. $0.40 \; rad/s^2$

D. $0.80 \; rad/s^2$

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65#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A solid cylinder of mass 10 kg is pivoted aboga2j eji/+ 3y yfz7gdxc0gv 87ut a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. How many radians does the cylinder rotate through in the first 5.0 seconds, if it sty70y /jg32ideagf8 jg c vx+z7arts from rest?

A. $13 \; rad$

B. $7.5 \; rad$

C. $5.0 \; rad$

D. $10 \; rad$

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66#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A 4.00-m long rod is hinged at one end. The rod is initially held in dbskt-r.2nhd p le0-- the horizontal position, and thepbr2sln- . -kdhdte 0-n released as the free end is allowed to fall. What is the angular acceleration as it is released? (The moment of inertia of a rod about one end is ML2/3.)

A. $2.45 \; rad/s^2$

B. $3.68 \; rad/s^2$

C. $4.90 \; rad/s^2$

D. $6.75 \; rad/s^2$

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67#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

Consider a bicycle wheel to be a ring of radius 30 cm and mass v /fn(xsh0o: ,+ gh nk-o+vgxy1.5 kg. Neglect the mass of the axle and sprocket. If a force of 20 N is applied tangentially to a sprocket of radiusnno(sg/vyx:f+ +vhg kx,-0 h o 4.0 cm for 4.1 s, what linear speed does the wheel achieve, assuming it rolls without slipping?

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A 1.53-kg mass hangs on a rope wrhpk43q -zko9cgk 1na)apped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular acceleration of the puloc 4k3pkgn z -hka9q1)ley?

A. $4.49 \; rad/s^2$

B. $7.98 \; rad/s^2$

C. $9.87 \; rad/s^2$

D. zero

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69#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A 1.53-kg mass hangs on a rope wrapped around a frfbci1j ( cbrbm7)-vnfw1 m4(l ictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the acceleration of bffi(4vjm lcmn1b( wb -1c7r )the mass?

A. $9.26 \; m/s^2$

B. $2.96 \; m/s^2$

C. $6.29 \; m/s^2$

D. zero

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70#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A rotating flywheel can be used to store energy. If i l-xv;n8l : wl 6mc,6w05nlvuigzhef-t is required to store $1.00 \times 10^{6} \; J$ of energy when rotating at 400 rad/s, what is the moment of inertial of the wheel in $kgm^{2}$?

A. 6.25

B. 12.5

C. 25.0

D. 50.0

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71#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel of moment of inert7 b 3ru1xzo3.kanqq*v8and4 j ia of $5.00 \; kgm^{2}$ starts from rest and accelerates under a constant torque of 3.00 Nm for 8.00 s. What is the wheel's rotational kinetic energy at the end of 8.00 s?

A. $57.6 \; J$

B. $64.0 \; J$

C. $78.8 \; J$

D. $122 \; J$

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72#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A solid sphere of mass 1 4cjzw y7uv14b.0 kg and radius 0.010 m starts from rest and rolls withoubczu4y14w7 jv t slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bottom of the inclined plane?

A. 3.7 m/s

B. 4.4 m/s

C. 5.6 m/s

D. 6.3 m/s

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73#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A solid sphere of mass 1.0 kg and radius 0.010 m rolls with ak9t5ozkk.wzbf5.ug vj3/ s-x3 h / lrrysr s;3 speed of 10 m/s. How high up an inclined planegr 9ozfxl/jv 3k5 sk / 5 -tw3yuk;.r3ssrb.zh can it climb before coming to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A hoop of radius 0.50 m and a mass of 0.20 kg is9vu;o4gu x qi: released from rest and allowed to roll down an inclined plane. How fast is it moving after dropping a vertical distance x;uuig:v4q9o of 3.0 m?

A. 2.2 m/s

B. 3.8 m/s

C. 5.4 m/s

D. 7.7 m/s

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75#

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A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down amdobtumg1 54: 35e incline that is 7.0 m long. Assume itbmdumo5:g4 t1 started from rest. The moment of inertia of a sphere is given by $I = (2/5)MR^2$.
(a) Calculate the linear speed of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere at the bottom of the incline.
(c) Does the linear speed depend on the radius or mass of the sphere? Does the angular speed depend on the radius or mass of the sphere?

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76#

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An object's angular momentum changeskb*z4d 9 l, )xmpdf(uz by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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77#

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A proton of mass $1.67 \times 10^{-27} \; kg$ rotates with an angular speed of 2 x 106 rad/s in a circle of radius 0.80 m in a cyclotron. What is the orbital angular momentum of the proton?

A. $1.28 \times 10^{-21} \; kg \cdot m^{2}/s$

B. $1.76 \times 10^{-21} \; kg \cdot m^{2}/s$

C. $2.14 \times 10^{-21} \; kg \cdot m^{2}/s$

D. $3.20 \times 10^{-21} \; kg \cdot m^{2}/s$

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78#

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An ice skater has a moment 27cbqn9ddi ovi+ q0m(of inertia of $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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79#

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A figure skater rotating at 5.00 rad/s wb2 fze ;u *eh( )5hot/k egbcius.(b2dith arms extended has a moment of inertia o ;bb) ge/feoiu ( chs5et(b.*h2du2 zkf
$2.25 \; kgm^{2}$. If the arms are pulled in so the moment of inertia decreases to $1.80 \; kgm^{2}$, what is the final angular speed?

A. 2.25 rad/s

B. 4.60 rad/s

C. 6.25 rad/s

D. 0.81 rad/s

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