A block with mass M = 5.5 kg rests on a frictionless table and is attached by a horizontal spring (k = 1.5E2 N/m) to a wall. A second block, of mass m = 1.32 kg, rests on top of M. The coefficient of static friction between the two blocks is 0.36. What is the maximum possible amplitude of oscillation such that m will not slip off M?
F_friction=(coeff friction)(normal force)=u*F_n
The Attempt at a Solution
So for the block to slide the force of friction must be equal too/less than the force imparted from the spring accelerating the blocks.
The F_accel must equal the spring force at the peak (accel will be highest then)
F_a=F_spring=kx, where we can find the value of F_a, but we don't know the values of k or x.
I tried applying some engery type eqns like E=0.5kA^2 or E=KE+PE but we don't know any amplitudes, velocities, etc.