Question

A solid sphere is given an angular velocity $\omega$ and kept on a rough fixed incline plane. Then choose that correct statement.

• A. If $\mu =\tan \rho$, then the sphere will be in linear equilibrium for some time and after that pure rolling down the plane will start.
• B. If $\mu =\tan \rho$, then sphere will move up the plane and friction force acting all the time will be $2mg$ $\sin \rho$
• C. If $\mu =\tan \theta /2$ there will never be pure rolling (consider inclined plane to be long enough.)
• D. If the inclined plane is not fixed and it is on the smooth horizontal surface, then the linear momentum of the horizontal direction.

Answer 1

Answer: (A), (D)

The correct options are
A If $\mu =\tan \rho$, then the sphere will be in linear equilibrium for some time and after that pure rolling down the plane will start.
D If the inclined plane is not fixed and it is on the smooth horizontal surface, then the linear momentum of the horizontal direction.