A block with mass m1 = 8.5 kg is on an incline with an angle θ = 32° with respect to the horizontal. For the first question, there is no friction, but for the rest of this problem, the coefficient of static friction is μs1 = 0.37. Note: for each question, a free body diagram should be provided.
(a) When there is no friction, what is the magnitude of the acceleration of the block? (3pt)
(b) Now with friction, the acceleration is measured to be a = 3.12 m/s^2. What is the coefficient of kinetic friction between the incline and the block? (4pt)
(c) Now a massless rope is attached to the block that pulls horizontally to prevent the block from moving (Figure 2). What is the tension in the rope? (7pt)
(d) Now a new block m2 is attached to the first block (Figure 3). The new block is made of a different material and has a coefficient of static friction μs2 = 0.94. What minimum mass m2 is needed to keep the system from accelerating? (6pt)