Which of Following statcinents are correct for rolling...

Which of Following statcinents are correct for rolling without slipping on rough horizontal ground?
(a) Aceeleration of point in contact with ground is zero
(b) Spced of some points are $/$ ero
(c) Friction force may or may not be $z$ do
(d) Work donc by friction may or may not be zero

Key Concepts

Work Done by Friction in Rolling

In the ideal case of rolling without slipping, the static friction force, though essential for providing the necessary torque and possibly altering the translational motion, does no work because the point of contact remains momentarily stationary. This absence of displacement at the force’s point of application means that no energy is transferred through work by friction under these conditions.

Velocity Distribution in a Rolling Object

In a rolling object, different points have different instantaneous velocities due to the combination of translational and rotational motions. Even though the contact point is momentarily at rest in rolling without slipping, other points, such as the top of the object, may have higher speeds, illustrating how velocity is distributed unevenly across the body.

Static Friction in Rolling Motion

Static friction is the force that prevents slipping at the contact point during rolling. It adjusts itself to the requirements of the motion; for instance, it can be zero when rolling at a constant speed on a flat surface, or act to provide the necessary net force and torque when the object is accelerating, while still doing zero work because the contact point does not move relative to the surface.

Rolling Without Slipping

This concept describes the condition where a rolling body maintains an instantaneous rest at its point of contact with the surface. In such a scenario, while the velocity at the point of contact is zero, the overall body can still be undergoing both translational and rotational motion, meaning that other points on the body have non-zero velocities.

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