Home
Class 12
PHYSICS
A solid sphere of radius 2.45m is rotati...

A solid sphere of radius `2.45m` is rotating with an angular speed of `10 rad//s`. When this rotating sphere is placed on a rough horizontal surface then after sometime it starts pure rolling. Find the linear speed of the sphere after it starts pure rolling.

Text Solution

Verified by Experts

Area of OAF `=1/2 xx 2 xx 4 =4` Area of BGHC `=1/2 (4+2.5) xx 0.5 = 1.625`
Area of ABG `F = 2 xx 4=8`
Area of CDEH `=2 xx 2.5=5`
Total. Area = Change in momentum `=18.625`
`m(v-u) = 18.625 V = (18.625)/2 + 5, V= 14.25 m//s`
Promotional Banner

Similar Questions

Explore conceptually related problems

A ring of radius R is rotating with an angular speed omega_0 about a horizontal axis. It is placed on a rough horizontal table. The coefficient of kinetic friction is mu_k . The time after it starts rolling is.

A solid sphere of mas 2kg rolls on a table with linear speed of 1 m//s . Its total kinetic energy is

A solid sphere rolling on a rough horizontl surface with a lilner speed v collides elastically with a fixed, smooth, vertical wall. Find the speed of the sphere after it has started pure rolling in the backward direction.

A heavy solid sphere is thrown on a horizontal rough surface with initial velocity u without rolling. What will be its speed, when it starts pure rolling motion ?

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

A solid homogeneous sphere is moving on a rough horizontal surface, partily rolling and partially sliding. During this kind of motion of the sphere.

A solid sphere rolling on a rough horizontal surface. Acceleration of contact point is zero. A solid sphere can roll on the smooth surface.

A solid sphere of mass 5 kg and and radius 1 m after rotating with angular speed omega_(0)=40 rad//s is placed between two smooth walls on a rough ground. Distance between the walls is slightely greater than the diameter of the sphere. Coffiecient of friction between the sphere and the ground is mu=0.1 . sphere will stop rtotating after time t = ...........s .

A ring of radius R is first rotated with an angular velocity omega and then carefully placed on a rough horizontal surface. The coefficient of friction between the surface and the ring is mu . Time after which its angular speed is reduced to half is

A solid sphere of radius r is rolling on a horizontal surface. The ratio between the rotational kinetic energy and total energy.