Q6: Two uniform rods AB and BC, each of mass m and length 2L, hang vertically under the influence of gravity from a fixed pivot A, as shown. They are freely hinges at A and B, so that they can swing in a vertical plane. A horizontal impulse P, acting in this plane, is delivered to the free end at C. Let vy and ty denote the horizontal component of the velocities of the ocen- tres of the rods AB and BC respecetively and let their corresponding angular velocities be and wy. (a) Express wy and wy in terms of vy and ty. (b) Find an expression for the impulsive reaction at A. (e) Find the velocities vy and vy. (d) AT what distance d from the free end C should the horizontal impulse P be applied, so that Note that the mass moment of inertin of a slender rod of length 2L and mass m about its centroidal axis is 21 B 21