1.) Two paint buckets are connected by a lightweight rope passing over a pulley of negligible mass and friction.
a.) As shown in the figure above, the system is released from rest with the 12kg bucket 2m above the floor. Use energy conservation to find the speed with which this bucket strikes the floor.
b.) Suppose the pulley had appreciable mass, such that its moment of inertia = 3kgm^2 but has no friction. Find the speed with which this bucket strikes the floor in this case.
