A V-belt speed-reduction drive is shown where pulley A drives the two integral pulleys B...

A V-belt speed-reduction drive is shown where pulley A drives the two integral pulleys B which in turn drive pulley C. If A starts from rest at time t = 0 and is given a constant angular acceleration α₁, derive expressions for the angular velocity of C and the magnitude of the acceleration of a point P on the belt, both at time t.