A uniform rod of length and mass is hinged at one end so it can rotate without…

PHYSICS · Subjective · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A uniform rod of length

L

and mass

M

is hinged at one end so it can rotate without friction in a vertical plane. A particle of mass

m

moving horizontally at speed

v

strikes the free end of the rod and rebounds straight back along the same line with speed

\dfrac{v}{2}

. Derive an expression for the rod’s angular speed

\omega

immediately after the collision in terms of

m

M

L

, and

v