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Question

A solid sphere, solid cylinder, hollow sphere, hollow cylinder of same mass and same radii are rolling down freely on an inclined plane. The body with maximum acceleration is:

A
Solid sphere
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B
Solid cylinder
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C
Hollow sphere
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D
Hollow cylinder
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Solution

The correct option is C Solid sphere
a=gsinθ1+ImR2
So, acceleration is maximum if I(moment of inertia) will be minimum.
Solid sphere has the maximum acceleration because its moment of inertia is minimum i.e. 25mR2.

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