Question:
A horizontal force $F$ is applied at the centre 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?
A horizontal force $F$ is applied at the centre 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?
Updated On: Jul 2, 2024
- 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, $a=\frac{F}{2 m}$
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The Correct Option is D
Solution and Explanation
The correct option is (D): For a thin-walled hollow cylinder, $a=\frac{F}{2 m}$
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