Physics - Rotation Question with Solution | TestHub
A solid sphere of mass and radius rolls without slipping with a linear speed on a horizontal surface. It then encounters a rough inclined plane of angle and rolls up without slipping. Match the following quantities related to its motion on the incline.
List - I | List - II |
|---|---|
(P) Maximum vertical height reached by the sphere | (1) |
(Q) Total distance covered along the incline until it momentarily stops | (2) |
(R) Minimum coefficient of static friction required for the sphere to roll without slipping | (3) |
(S) Magnitude of the frictional force acting on the sphere while rolling up the incline | (4) |
Options:
Answer:
Solution:
The initial total kinetic energy is . This energy is converted to potential energy at max height , so . The distance along the incline is , so Q-(3). For rolling without slipping, and . From these, and , so S-(2). For no slipping, , so . Thus, minimum , so R-(4).
