A horizontal force F is applied at the center of mass of a cylindrical object of mass m and radius R, perpendicular to its axis as shown in the figure. The coefficient of friction between the object and the ground is \mu. The center 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 Adv 2021 P1]

For the same F, the value of a does not depend on whether the cylinder is solid or hollow

For a solid cylinder, the maximum possible value of a is 2 \mu {g}

The magnitude of the frictional force on the object due to the ground is always \mu {mg}

For a thin-walled hollow cylinder, a=\frac{F}{2 m}

Rotational Motion

Section: Physics

Question : 12 of 54

Marks: +1, -0

A horizontal force F is applied at the center of mass of a cylindrical object of mass m and radius R, perpendicular to its axis as shown in the figure. The coefficient of friction between the object and the ground is µ. The center 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 Adv 2021 P1]

For the same F, the value of a does not depend on whether the cylinder is solid or hollow
For a solid cylinder, the maximum possible value of a is 2µg
The magnitude of the frictional force on the object due to the ground is always µmg
For a thin-walled hollow cylinder, a=‌
F
2m

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