Ramp and Pulley With Friction, 2D, Two-Body Newton's Second Law

Question

Consider the two body system depicted in Figure 1.

a) Determine the acceleration of the system as block B falls down, given a coefficient of kinetic friction between the ramp and block A of µ = 0.15, a ramp incline of θ = 34°, the masses of both blocks m_A = m_B = 2.7 kg.

b) What is the minimum value of µ to prevent the system from accelerating?

(Ignore masses of the cord and the pulley, and ignore friction in the pulley)

Figure 1. Pulley and ramp system

Answer 1