A circular wooden hoop of mass `m` and radius `R` rests fiat on a frictionless surface.
Channel: Doubtnut
Date: 26/07/2020

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.