Bar AB of mass m and mass moment of inertia I = (1/12)mL^2 is constrained to move within the channel as shown. The bar is released from rest at theta = 90 degree. The bar is released from rest at theta = 90 degree and falls under the influence of gravity. Use work and energy to determine the center of mass velocity Vg and the angular velocity omega = theta dot of the bar as functions of theta. Express your answers in terms of unit vectors aligned with the x and u axis.
Next check your answers by using summing forces and moments to derive and solve the equations of motion to compute Vg and omega = theta dot. Also compute the reaction forces at A and B as functions of theta.