Two masses M1 (3kg) and M2 (1kg) are set up as shown in the attached diagram. The coefficient of kinetic friction between M1 and the horizontal surface is uk = 0.12, but there is negligible friction between M2 and the ramp sloped at 30 degrees to the horizontal. The pulley is ideal, and the string is massless. Assume g=10 N/kg.
a. Write a force equation for both masses, along with a fully labeled free-body diagram for each.
b. Using the two equations, solve for and calculate the acceleration of mass M2.
c. Assuming the masses started from rest, and the ramp and string are long enough, what is the magnitude of the momentum of the whole system after M2 has moved 0.5m downwards along the plane of the ramp?
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