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gc textbook chapter 8 Rotational Motion (id: 89e36445b)

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Post time 2025-2-18 20:00:22 | Show all posts |Read mode
本题目来源于试卷: gc textbook chapter 8 Rotational Motion,类别为 unclassified

[问答题]
Suppose you are sittin4gjx022 f xg0zl 2widwz8js l) upam),g oshhe91k 5ft 4ojiur6sq96 c2ivwc7:wo,b qf(n a rotating stool holding a 2-kg mass in each outstretched hand. If you suddenlys9rhjik6w2sio9 cqqec 1bvf7 o 45fh u6(: t,w drop the masses, will your angular velocity increase, decrease, or stay the same? Explain.




参考答案:
Your angular velocity will not change.  Before you let go of the masses, your body has a certain angular momentum, which is the product of your moment of inertia and your angular velocity.  No torques are put upon you by the act of dropping the masses, and so your angular momentum does not change.  If you don’t change your moment of inertia by changing the position of your body, then your angular velocity will not change.  The masses, when dropped, will have a horizontal motion that is tangential to the circle in which they were moving before they were dropped.  An object traveling horizontally at some distance from a vertical line (like your axis of rotation) has angular momentum relative to that vertical line.  The masses keep the angular momentum that they had before being dropped.


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