In: Physics
Solve using any method you would like, but show your work. Suppose we were considering the Atwood’s machine pictured at right. A block of mass M1 = 1.5 kg is on a surface with coefficient of friction µ = 0.10, which is tilted at an angle α = 30º. A second block of mass M2 = 3.5 kg is hanging vertically. The two blocks are connected via an ideal massless string that passes over a pulley of mass mp = 0.55 kg and radius rp= 7.5 cm which can be treated as a solid disk. At time t0 block 2 is released from rest and it begins to fall.
a. Determine the magnitude of the friction force. Show your work
b. Determine the speed of the blocks when block 2 hits the floor, 0.35 m below where it starts. Show your work
c. After block 2 hits the floor, how much farther will block 1 slide up the incline before coming to rest? Show your work (hint, once block 2 hits the floor the tension in the string goes to zero – will it have any effect anymore?)