Home
Class 12
PHYSICS
A small body A is fixed to the inside of...

A small body `A` is fixed to the inside of a thin rigid hoop of radius `R` and mass equal to that of the body `A`. The hoop rolls without slipping over a horizontal plane, at the moments when the body `A` gets into the lower position, the centre of the hoop moves with velocity `v_(0)`. At what values of `v_(0)` will the hoop move without bouncing?

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(8gR)`
Promotional Banner

Similar Questions

Explore conceptually related problems

A uniform sphere of mass m and radius r rolls without sliding over a horizontal plane, rotating ahout a horizontal axle OA . In the process, the centre of the sphere moves with a veocity v along a circle of radius R . Find the kinetic energy of the sphere.

A wheel is rolling without slipping on a horizontal plane with velocity v and acceleration a of centre of mass as shown in figure. Acceleration at

A uniform solid cylinder of radius 'R' has a circular cut of radius (R )/(2) from the edge, Its mass is M. It is rolling wihtout slipping on a rough horizontal floor. When the cut part is at lowest position, centre of the disc is moving with horizontal velocity v. Choose the alternative:

The centre of a wheel rolling without slipping on a plane surface moves with a speed v_(0) . A particle on the rim of the wheel at the same level as the centre of wheel will be moving with speed

A body of mass M moving with velocity V explodes into two equal parts. If one comes to rest and the other body moves with velocity v, what would be the value of v ?

A round uniform body of radius R , mass M and moment of inertia 'I' rolls down (without slipping) and inclined plane making an angle theta with the horizontal. Then its acceleration is.

A hoop rolls on a horizontal ground without slipping with linear speed v . Speed of a particle P on the circumference of the hoop at angle theta is :

A uniform thin spherical shell of mass m and radius R rolls down without slipping over an inclined plane of angle theta with the horizontal. The ratio of rotational kinetic energy to the total kinetic energy of the shell will be

A wheel of radius R=0.1m is rolling without slipping on a horizontal surface as shown in the firgure. Centre of the wheel moves with a constant speed sqrt3m//s . The speed of the point P with respect to ground is

A circular disc of radius R rolls without slipping along the horizontal surface with constant velocity v_0 . We consider a point A on the surface of the disc. Then, the acceleration of point A is