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A 1-kilogram mass is attached to a spring whose constant is 24 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 11 times the instantaneous velocity. Determine the equations of motion (in m) if the following situations occur. (a) the mass is initially released from rest from a point 1 meter below the equilibrium position x(t) = 3-8t 8 -3t + m 5e ge (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 13 m/s x(t) = m

A 1-kilogram mass is attached to a spring whose constant is 24 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 11 times the instantaneous velocity. Determine the equations of motion (in m) if the following situations occur. (a) the mass is initially released from rest from a point 1 meter below the equilibrium position x(t) = 3-8t 8 -3t + m 5e ge (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 13 m/s x(t) = m

Linear Algebra: A Modern Introduction
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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DE HW8 Q7

A 1-kilogram mass is attached to a spring whose constant is 24 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 11 times the instantaneous velocity. Determine the equations of motion (in m) if the following situations occur. (a) the mass is initially released from rest from a point 1 meter below the equilibrium position x(t) = 3-8t 8 -3t + m 5e ge (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 13 m/s x(t) = m
Transcribed Image Text:A 1-kilogram mass is attached to a spring whose constant is 24 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 11 times the instantaneous velocity. Determine the equations of motion (in m) if the following situations occur. (a) the mass is initially released from rest from a point 1 meter below the equilibrium position x(t) = 3-8t 8 -3t + m 5e ge (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 13 m/s x(t) = m
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