Home
Class 12
PHYSICS
A solid sphere has combined linear and r...

A solid sphere has combined linear and rotation motion as shown in figure. The velocity of its centre of mass when it starts pure rolling is (R = radius of sphere)

A

`6v_0 /7`

B

`v_0/7`

C

`5v_0 /6`

D

`v_0 /2`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

(i) A solid sphere of radius R is released on a rough horizontal surface with its top point having thrice the velocity of its bottom point A (V_(A) = V_(0)) as shown in figure. Calculate the linear velocity of the centre of the sphere when it starts pure rolling. (ii) Solid sphere of radius R is placed on a rough horizontal surface with its centre having velocity V_(0) towards right and its angular velocity being omega_(0) (in anticlockwise sense). Find the required relationship between V_(0) and omega_(0) so that - (a) the slipping ceases before the sphere loses all its linear momentum. (b) the sphere comes to a permanent rest after some time. (c) the velocity of centre becomes zero before the spinning ceases.

A solid sphere is thrown on a horizontal rough surface with initial velocity of centre of mass V_0 without rolling. Velocity of its centre of mass when its starts pure rolling is

The uniform solid sphere shown in the figure has a spherical hole in it. Find the position of its centre of mass.

Three solid spheres of mass M and radius R are placed in contact as shown in figure. Find the potential energy of the system ?

A solid sphere of radius R is set into motion on a rough horizontal surface with a inear speed v_(0) in forward direction and an angular with a linear speed v_(0) in forward directioin and an angular velocity omega_(0)=v_(0)//2R in counter clockwise direction as shown in figure. If coefficient of friction mu then find a. the time after which sphere starts pure rolling, b. the linear speed of sphere when it starts rolling and c. the work down by friction over a long time.

A hemispherical cavity of radius R is created in a solid sphere of radius 2R as shown in the figure . Then y -coordinate of the centre of mass of the remaining sphere is

Four solid spheres are made to move on a rough horizontal surface. Sphere P is given a spin and released. Sphere Q is given a forward linear velocity. Spheres R and S are given linear and rotational motions as shown in the figure. Directions of the friction force on spheres P,Q,R,S are respectively. .

A solid sphere of mass m and radius R is rolling without slipping as shown in figure. Find angular momentum of the sphere about z-axis.

A solid sphere is in pure rolling motion on an inclined surface having inclination theta