write a differential equation that describes the following: a mass weighing 12lb stretches a spring 2...

write a differential equation that describes the following:

a mass weighing 12lb stretches a spring 2 ft. the mass is initially released from a point 1 ft below the equilibrium position with an upward velocity of 4 ft/s. (gravity is 32 ft/s^2)

1. find the equation of motion, what are the natural circular frequency, period and amplitude

2. at what time does the mass return 1 foot below the equilibrium position

3. at what time does the mass pass through the equilibrium position moving upward or downward

4. at what time is the velocity of the mass zero

Expert Solution

genius_generous answered 2 years ago

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