21. A marble of radius r rolls without slipping down an incline and then up along a vertical circular track of radius R, as shown in the figure. What is the minimum height H from which the ball must start so that it barely stays in contact at the top of the circle? Assume r << H and r << R.

(A)2 R
(B)2.3 R
(C)2.7 R
(D)3 R
(E)None of the above

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詳解 (共 1 筆)

#7446979
所以頂端指向圓心的方向是向下
向心力由重力和正向力提供
剛好保持接觸,代表正向力等於0
然後彈珠同時有平移動能和轉動動能
6a5a1a6eb25d2.jpg
然後使用機械能守恆
6a5a1a9b105c6.jpg
ㅤㅤ
ㅤㅤ
也可以直接記實心球滾動的總動能
7/10mv^2
6a5a1ad8af9da.jpg
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0