Two particles each of mass M are connected by a massless rod of length l. The rod is lying on the smooth surface. If one of the particle is given an impulse MV as shown in the figure then angular velocity of the rod would be

Question

G1 Physics · Accepted Answer

The impulse gives centre-of-mass speed V/2 and angular impulse MV(ℓ/2) to the two-mass rod system. With I=Mℓ²/2, ω=V/ℓ. Hence A. Use angular momentum L⃗=r⃗×p⃗ (or L=Iω for a rigid body). During a short impact, angular momentum about a point with zero impulsive torque is conserved; use linear momentum/energy additionally where applicable..