1. Suppose that a mass weighing 16 lb stretches a spring 4 in. If the mass is displaced an additional 3 in and is then set in motion, determine the position of the mass at any later time. Also determine the period, amplitude, and phase of the motion. View Solution
2. Suppose that a mass weighing 10 lb stretches a spring 2 in. If the mass is displaced an additional 2 in and is then set in motion with an initial upward velocity of 1 ft per sec, determine the position of the mass at any later time. Also determine the period, amplitude, and phase shift of the motion. View Solution
3. An object that weighs 16 lb stretches a spring 3 in. The object is attached to a viscous fluid with a damping constant of 2 lb s per feet. If the object is set in motion from its equilibrium position with a downward velocity of 3 in per sec, find the position at any time t. Determine when the mass first returns to its equilibrium position. View Solution
4. An object that weighs 8 lb stretches a spring 2 in. The object is attached to a viscous fluid with a damping constant of 2 lb sec per feet. If the object is set in motion from its equilibrium position with a downward velocity of 2 in per sec, find the position at any time t. Determine when the mass first returns to its equilibrium position. View Solution
5. A 3 kg object is attached to spring and will stretch the spring 39.2 cm by itself. There is no damping in the system and a forcing function of the form \(F(t) = 10 \cos (\omega t)\) is attached to the object and the system will experience resonance. If the object is initially displaced 20 cm downward from its equilibrium position and given a velocity of 10 cm/sec upward find the displacement at any time t. View Solution