The thin uniform bar AB of mass m and length L hangs from a wheel at A, which rolls freely...

The thin uniform bar AB of mass m and length L hangs from a wheel at A, which rolls freely on the horizontal bar DE. In the following problems, neglect the mass of the wheel and assume that the wheel never separates from the horizontal bar.

Figure P7.49

Find the equation(s) of motion of the bar using the coordinates x and θ shown on the figure as the dependent variables and then simulate the system’s behavior by numerically solving the equations of motion for 5 s, using m = 2 kg, L = 0.6 m, x(0) = 0 m, ẋ(0) = 0 m/s, θ(0) = 60°, and . Plot x and θ for 0 ≤ t ≤ 5 s.