A mass weighing 1 lb is attached to a spring whose spring constant is 1.5 lb/ft. The medium offers a damping force that is numerically double the instantaneous velocity. The mass is released from a point 10 cm above the equilibrium position with a downward velocity of 2.3 m/s, Determine: 1. Time it takes for the object to pass through the equilibrium position. 2. Time in which the object reaches its extreme displacement from the equilibrium position. 3. What is the position of the mass at the instant calculated in part 2? 4. Graph the movement.

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A mass weighing 1 lb is attached to a spring
whose spring constant is 1.5 lb/ft. The medium
offers a damping force that is numerically
double the instantaneous velocity. The mass is
released from a point 10 cm above the
equilibrium position with a downward velocity
of 2.3 m/s, Determine:
1. Time it takes for the object to pass through the
equilibrium position.
2. Time in which the object reaches its extreme
displacement from the equilibrium position.
3. What is the position of the mass at the instant
calculated in part 2?
4. Graph the movement.
Transcribed Image Text:A mass weighing 1 lb is attached to a spring whose spring constant is 1.5 lb/ft. The medium offers a damping force that is numerically double the instantaneous velocity. The mass is released from a point 10 cm above the equilibrium position with a downward velocity of 2.3 m/s, Determine: 1. Time it takes for the object to pass through the equilibrium position. 2. Time in which the object reaches its extreme displacement from the equilibrium position. 3. What is the position of the mass at the instant calculated in part 2? 4. Graph the movement.
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