consider the configuration of the pulley system shown in the figure be

Question

Consider the configuration of the pulley system shown in the figure below. Suppose that mass A and mass B are moving in opposite directions with VA = -2VB. For definiteness, assume mass A is moving downward. [2 pts) (a) How many degrees of freedom does this system have? (do not include the additional constraint VA =-2vB) [2 pts] (b) Write the constraint equation for the connected particles on the cable connected to mass A that involve the displacements of key moving points. [2 pts] (c) Write the constraint equation for the connected particles on the cable connected to mass B that involve the displacements of key moving points. [2 pts] (d) Use your constraint equations to compute the velocity of the pulley connected to mass m, Vc. in terms of the velocity of VA: [2 pts) (e) What is the acceleration of pulley C.ac. for this situation?