Question: The upper right corner of the door of Problem I is released from rest after being held at a distance xo = 2 cm from the vertical plane containing the hinge axis. Plot the response over 2.5 periods.
Problem I: The door of Problem II has the width B = 0.8m and hangs at an angle α = 5° with respect to the vertical. Assume small angles θ and determine the natural frequency of oscillation.
Problem II: A uniform rectangular door hangs at an angle a with respect to the vertical (Fig.). Assume that the door is displaced initially with respect to the vertical plane and then allowed to oscillate. Derive the equation for the oscillatory motion OW of the door by Newton's second law; the angle 0 can be arbitrarily large.
