A horizontal force \( F \) is applied at the centre of mass of a cy...
0A horizontal force \( F \) is applied at the centre of mass of a cylindrical object of mass \( m \) and radius \( R \), perpendicular
P to its axis as shown in the figure. The coefficient of friction
W between the object and the ground is \( \mu \). The centre of mass of the object has an acceleration \( a \). The acceleration due to gravity is \( g \). Given that the object rolls without slipping, which of the following statement(s) is(are) correct?
[JEE Advanced-2021]
(a) For the same \( F \), the value of \( a \) does not depend on whether the cylinder is solid or hollow
(b) For a solid cylinder, the maximum possible value of \( a \) is \( 2 \mu \mathrm{g} \)
(c) The magnitude of the frictional force on the object due to the ground is always \( \mu \mathrm{mg} \)
Phjes Walla:
(d) For a thin-walled hollow cylinder, \( a=\frac{F}{2 m} \)
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