A uniform thin rod AB has a length L = 1.50m and a mass of 2.50 kg is attached to a frictionless slider-bearing located in a vertical slot at A. Initially the rod AB is held stationary (Wi = 0s⁻¹) in a horizontal position.
At the moment that the rod is released and allowed to swing under the force of gravity, a linear actuator accelerates the slider-bearing at A upwards at a constant rate of aA = 2.50m.s⁻².
a) Knowing that the system is released from rest when θ = 0° and assuming no friction in the slider at A, use computational software to calculate the angular velocity ω(θ) and α(θ) angular acceleration of the rod AB as a function of the angle θ from θi = 0° to the maximum angle θmax. Also, calculate this maximum angle θmax.
b) Use computational software to calculate the components (Rx and Ry) of the reaction force on the rod AB as a function of the angle θ from θi = 0° to the maximum angle θmax.
c) Make sure that the following points are clearly labelled with their coordinate values and precision of 3 decimal places on your graphs: maximum angle θmax , maximum reaction force Rx max and Ry max.