A circular ring of mass `m` and radius `R` rests flat on a horizontal smooth surface as shown in figure. A particle of mass `m`, and moving with a velocity `v`. Collides inelastically `(e=0)` with the ring the angular velocity with which the system rotates after the particle strikes the ring is

A circular hoop of mass m and radius R rests flat on a horizontal frictionless surface A bullet also of mass m and moving with a velocity v strikes the hoop and gets embedded in it the thickness of the hoop is much smaller then R the angular velocity with which the system rotates after the bullet strikes the hoop is

A circular wooden hoop of mass m and radius R rests fiat on a frictionless surface. A bullet, also of mass m and moving with a velocity v , strikes the hoop and gets embedded in it. The thickness of the hoop is much smaller than R . Find the angular velocity with which the system rotates in after the bullet strikes the hoop.

A circular wooden hoop of mass m and radius R rests fiat on a frictionless surface. A bullet, also of mass m and moving with a velocity v , strikes the hoop and gets embedded in it. The thickness of the hoop is much smaller than R . Find the angular velocity with which the system rotates in after the bullet strikes the hoop.

A uniform circular ring of mass m and radius R is placed freely on a horizontal smooth surface as shown in figure. A particle of mass m is connected to the circumference of the ring with massless string . The particle is imparted velocity v_0 perpendicular to length of string as shown. If T is tension in the string just after the particle imparted velocity , then Acceleration of point P at this instant , is

A uniform circular ring of mass m and radius R is placed freely on a horizontal smooth surface as shown in figure. A particle of mass m is connected to the circumference of the ring with massless string . The particle is imparted velocity v_0 perpendicular to length of string as shown. If T is tension in the string just after the particle imparted velocity , then Acceleration of point P at this instant , is

A particle of mass m moving with velocity u collides elastically with a particle of mass 3m at rest. After collision the heavier particle moves with velocity.

A particle of mass m moving with velocity u collides elastically head on with a particle of mass 2m at rest. After collision the heavier particle moves with velocity?

A particle of mass m_1 moves with velocity v_1 and collides with another particle at rest of equal mass. The velocity of the second particle after the elastic collision is