A 20 kg mass stretches a large spring 10 cm in equilibrium. It is attached to a dashpot that supplies a damping force of 800 N for each 2 m/sec of speed. The mass is initially displaced 1 m below equilibrium and given a downward velocity of 1 m/sec. Determine the type of damped motion and find its displacement in meters as a function y of time t. For simplicity, use g = 10 m/sec. This damped motion is Select an answer ✓ y(t) = meters

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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Please also answer "This damped motion is" 

A. Overdamped

B. Critically Damped 

C. Underdamped 

A 20 kg mass stretches a large spring 10 cm in equilibrium. It is attached to a dashpot that supplies a
damping force of 800 N for each 2 m/sec of speed. The mass is initially displaced 1 m below equilibrium
and given a downward velocity of 1 m/sec. Determine the type of damped motion and find its
displacement in meters as a function y of time t. For simplicity, use g = 10 m/sec.
This damped motion is Select an answer ✓
y(t) =
meters
Transcribed Image Text:A 20 kg mass stretches a large spring 10 cm in equilibrium. It is attached to a dashpot that supplies a damping force of 800 N for each 2 m/sec of speed. The mass is initially displaced 1 m below equilibrium and given a downward velocity of 1 m/sec. Determine the type of damped motion and find its displacement in meters as a function y of time t. For simplicity, use g = 10 m/sec. This damped motion is Select an answer ✓ y(t) = meters
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