The equation of motion of a weight, m, attached to a spring and a dashpot damping device is 2 y(t) = e| -2 cos 3t –sin 3t 3 where y(t), measured in feet, is the displacement from the equilibrium position of the spring system and is measured in seconds, see Figure 1. Find the initial position and the initial velocity of the weight, m. Give physical interpretations on your answers.

Elements Of Electromagnetics
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1. a) The equation of motion of a weight, m, attached to a spring and a dashpot damping
device is
2
y(t) = e| -2cos 3t –sin 3t
3
where y(t), measured in feet, is the displacement from the equilibrium position of
the spring system and is measured in seconds, see Figure 1. Find the initial
position and the initial velocity of the weight, m. Give physical interpretations on
your answers.
y = 0 (equilibrium position)
m
Figure 1
Transcribed Image Text:1. a) The equation of motion of a weight, m, attached to a spring and a dashpot damping device is 2 y(t) = e| -2cos 3t –sin 3t 3 where y(t), measured in feet, is the displacement from the equilibrium position of the spring system and is measured in seconds, see Figure 1. Find the initial position and the initial velocity of the weight, m. Give physical interpretations on your answers. y = 0 (equilibrium position) m Figure 1
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