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Question

A solid sphere of mass M and radius R is placed on a rough horizontal surface. It is stuck by a horizontal cuestick at a height h above the surface. The value of h so that the sphere performs pure rolling motion immediately after it has been struck is

160169_d12e8a8669944c9fbe406f49e557e87f.png

A
2R5
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B
5R2
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C
7R5
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D
9R5
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Solution

The correct option is B 7R5
About point O, Angular impulse, H=Jx
Iw=(mv)x
25mR2w=(mRw)x v=Rw
x=25R
h=x+R=7R5

445589_160169_ans_907aaa7750ac424f86fd708203a63fed.png

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