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A 1-kilogram mass is attached to a spring whose constant
Chapter 5, Problem 23E(choose chapter or problem)
A 1-kilogram mass is attached to a spring whose constant is 16 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 10 times the instantaneous velocity. Determine the equations of motion if
(a) the mass is initially released from rest from a point 1 meter below the equilibrium position, and then
(b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 12 m/s.
Questions & Answers
QUESTION:
A 1-kilogram mass is attached to a spring whose constant is 16 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 10 times the instantaneous velocity. Determine the equations of motion if
(a) the mass is initially released from rest from a point 1 meter below the equilibrium position, and then
(b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 12 m/s.
ANSWER:Step 1 of 6
Solution: our aim is to interpret the problem into numerically then proceed to find the general solution according to the boundary value condition.
Collect the data from the given question
Here m= 1 kg
K = 16N/m
= 10
f(t)=0 because there is no external force