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A constant horizontal force F is applied...

A constant horizontal force F is applied on the top of a solid sphere and a hallow sphere of same mass and radiuis both kept on a sufficiently rough surface. Let `a_(S)` and `a_(H)` be their linear acceleration respectively, then

A

`a_1=a_2`

B

`a_1gta_2`

C

`a_1lta_2`

D

data sufficient

Text Solution

Verified by Experts

The correct Answer is:
2

Taking torque about contact point, `F(2r)=(I_(CM)+mr^2)alpha and A_(CM)=ralpha``(F(2r)r)/((I_(CM))+mr^2)=A_(CM)` AS`I_(CM)uparrow, A_(CM)downarrow` `a_(SOLID)>a_(HOLLOW)`
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