The slender rod of mass m1 and length L has a movable slider of mass m2 which can be tig...

The slender rod of mass m₁ and length L has a movable slider of mass m₂ which can be tightened at any location x along the rod. The assembly is initially falling in translation with speed v₁. A small peg on the left end of the rod becomes engaged in the receptacle. Determine the angular velocity ω₂ of the body just after impact. For the condition m₂ = m₁/2, determine the maximum value of ω₂ and the corresponding value of x. Plot ω₂ versus x/L for this mass condition.