1. A mass weighing 10 lbs. is attached to a spring suspended from the ceiling. The...

1. A mass weighing 10 lbs. is attached to a spring suspended from the ceiling. The mass will stretch the spring 6 inches. If the mass is pulled 5 inches below its equilibrium point and given an initial upward velocity of 0.3 ft./sec. and if damping forces are neglected, then what is the equation of motion of the mass? What is the amplitude of the motion?

2. A 980-newton force stretches a spring 0.4 meters. If a 200 kg mass is attached to the spring and pulled 0.5 meters below its equilibrium point and released, neglecting damping forces, what is the equation of motion of the mass?

3. A mass weighing 8.2 pounds will stretch this spring 1.36 feet. The spring/mass system is damped by a force that is 1.5 times the instantaneous velocity of the mass. Determine the equation of motion of the mass, if the mass is stretched 1 foot below its equilibrium point and released.

4. A 1 newton force will stretch a spring 1 meter. The spring/mass system is damped by a force that is 8 times the instantaneous velocity. A 12 kg mass is attached to the spring. The spring is compressed 0.8 meters above the equilibrium position and given an initial downward velocity of 3 m/s. Determine the equation of motion of the mass

5. A mass weighing 3(1/5) pounds stretches a spring by 1 foot. If the spring/mass system is damped by a force that is twice the instantaneous velocity and this same mass is given an initial upward velocity of 1.3 ft/sec from the equilibrium position, then what is the equation of motion of the mass?

Expert Solution

genius_generous answered 1 year ago

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