A mass weighing 16 pounds is attached to a spring, stretching it 8 inches. A damping mechanism provides a resistance numerically equal to 6 times the instantaneous velocity. Initially, the mass is released from equilibrium with a downward velocity of 2 feet per second. Find the equation of motion. b. Determine if the system is underdamped, critically damped, or overdamped.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter4: Nonlinear Oscillations And Chaos
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A mass weighing 16 pounds is attached to a spring, stretching it 8 inches. A damping
mechanism provides a resistance numerically equal to 6 times the instantaneous velocity.
Initially, the mass is released from equilibrium with a downward velocity of 2 feet per
second.
Find the equation of motion.
b. Determine if the system is underdamped, critically damped, or overdamped.
Transcribed Image Text:A mass weighing 16 pounds is attached to a spring, stretching it 8 inches. A damping mechanism provides a resistance numerically equal to 6 times the instantaneous velocity. Initially, the mass is released from equilibrium with a downward velocity of 2 feet per second. Find the equation of motion. b. Determine if the system is underdamped, critically damped, or overdamped.
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