Consider the situation above. We have two blocks. The lower one has mass m, and the upper one has mass m,. There is friction between the two blocks. However, the

surface on which m, sits is frictionless. A spring of spring constant k connects the lower block to a stationary wall. Suppose that the blocks are oscillating in simple harmonic motion and that there is no slipping between the two blocks (that is, the two blocks move together). The period of the oscillation is T = 0.80 s. Suppose that the amplitude of the oscillation is then increased to A = 50 cm. Just when the amplitude is 50 cm, the upper block begins to slip on the lower block. a)Draw two free body diagrams, one for each block. Draw the FBDS for the situation before the blocks start slipping (so when the amplitude is less than 50cm). Draw the FBDS for the instant in time when the blocks are farthest to the right (so the spring is maximally stretched). b)Determine the coefficient of static friction between the two blocks given that the top block just starts to slip with respect to the bottom block when the amplitude is 50 cm. (Remember to fully solve symbolically before plugging in numbers.)