A block of mass (m1 = 5 kg) on a rough, horizontal surface is connected to a ball of mass (m2 = 2 kg) by a lightweight inextensible cord over a light weight, frictionless pulley, as shown in Figure 1 below. A force of magnitude F = 80 N acting at an angle θ = 30º with the horizontal is applied to the block, accelerating the block of mass to the left. The coefficient of the kinetic friction between the block and the surface is 0.25.
a) Draw the free body diagram of the masses m1 and m2. b) Determine the normal force acting on mass m1. c) Determine the kinetic friction force acting on mass m1. d) Determine the acceleration of the system.