PhysicsLAB: 2000 B2

Blocks 1 and 2 of masses m₁ and m₂, respectively, are connected by a light string, as shown above. These blocks are further connected to a block of mass M by another light string that passes over a pulley of negligible mass and friction. Blocks 1 and 2 move with a constant velocity v down the inclined plane, which makes an angle θ with the horizontal. The kinetic frictional force on block 1 is f and that on block 2 is 2f.

	(a) On the figure below, draw and label all the forces on block m₁.

Express your answers to each of the following in terms of m₁, m₂, g, θ, and f.

	(b) Determine the coefficient of kinetic friction between the inclined plane and block 1.

	(c) Determine the value of the suspended mass M that allows blocks 1 and 2 to move with constant velocity down the plane.

	(d) The string between blocks 1 and 2 is now cut. Determine the acceleration of block 1 while it is on the inclined plane.