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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 sitting on a rotating s)+u) g+ yvkzfntool holding a 2-kg mass i5 w*qtqnu mkui2j 01b-tl0v7bm t z8;cn each outstretched hand. If you suddenly drop the masses, will ytt 1n2u*m -mq08vcib uwkzqbj;l07t5our 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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