The uniform slender bar AB has mass mAB and length L. The crate has a uniformly distribute...

The uniform slender bar AB has mass mAB and length L. The crate has a uniformly distributed mass mC and dimensions h and w. Bar AB is pin-connected to the trolley at A and to the crate at B. The trolley is constrained to move along the horizontal guide shown. Point O on the trolley’s guide is a fixed reference point.

Figure P7.85

Let mAB = 75 kg, L = 4.5 m, mC = 250 kg, d = 0.5 m, h = 1.5 m, and w = 2 m. Neglect the mass of the trolley and friction. Finally, assume that the system is released from rest when xA = 0, θ = 30°,and ϕ = 45°. Plot xA, θ, and ϕ as functions time for 0 ≤ t ≤ 15 s.