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

[问答题]
Suppose you are sitting on a rotating stool holding a 2-kg ma ; pyab xj,-ywg+/*qbkss indq7 v,f3a/u j.nfce e8 each outstretched hand. If you suddenly drop the masses, will your angular velocity inaqe. 7,n/d8jfv cfue3crease, 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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