H C Verma Solutions for Chapter: Rotational Mechanics, Exercise 3: OBJECTIVE II

Consider a wheel of a bicycle rolling on a level road at a linear speed $v_0$.

Two uniform solid spheres having unequal masses and unequal radii are released from rest from the same height on a rough incline. If the spheres roll without slipping,

A hollow sphere and a solid sphere having same mass and same radii are rolled down a rough inclined plane.

A sphere cannot roll on

In rear wheel drive cars, the engine rotates the rear wheels and the front wheels rotate only because the car moves. If such a car accelerates on a horizontal road, the friction

A sphere can roll on a surface inclined at an angle $\text{θ}$ if the friction coefficient is more than $\frac{2}{7}g\tan \theta$. Suppose the friction coefficient is $\frac{1}{7}g\tan \theta$. If a sphere is released from rest on the incline,

A sphere is rolled on a rough horizontal surface. It gradually slows down and stops. The force of friction tries to

Figure shows a smooth inclined plane fixed in a car accelerating on a horizontal road. The angle of incline $\mathrm{\theta }$ is related to the acceleration $a$ of the car as $a=g\tan \theta$. If the sphere is set in pure rolling on the incline,