The uniform slender bar AB, with mass mAB = 75 kg and length L = 4.5 m, is pin-connected a...

The uniform slender bar AB, with mass mAB = 75 kg and length L = 4.5 m, is pin-connected at A to a trolley accelerating with a0 = 3 m/s2 along a horizontal rail. A crate with uniformly distributed mass mC = 250 kg, height h = 1.5 m, and width w = 2 m is contained in a cage with negligible mass that is pin-connected to AB at B. The distance between B and the top of the crate us d = 0.75 m. Determine the angles ϕ and θ so that the bar and the crate translate with the trolley.

Figure P7.9