A uniform rod AB of length and mass M hangs from point A at which it is freely hinged in a car moving with velocity v ₀ . The rod can rotate in vertical plane about the axis at A . If the car suddenly stops,

Step-by-step solution

Angular momentum is conserved about O aligned & Mv 2 = m ^2 3 & = 3 v 2 aligned if rod has to complete the circle, aligned & 1 2 I _ ^2= Mg _ = 2 Mg 3 M ^2 & KE = 1 2 Mv ₀^2- 1 2 M ^2 3 ^2 aligned