This graph shows the position versus time for a mass of 4 kg, attached to a spring of spring constant k, that is undergoing damped simple harmonic motion. Part A From the graph of damped oscillations shown above, determine the time constant for the decay in seconds. Part B For the damped oscillations shown in the graph above, determine the spring constant k of the spring in N/m. Part C How much energy in J has been dissipated from the block-spring system after 5 seconds?

This graph shows the position versus time for a mass of 4 kg, attached to a spring of spring constant k, that is undergoing damped simple harmonic motion. Part A From the graph of damped oscillations shown above, determine the time constant for the decay in seconds. Part B For the damped oscillations shown in the graph above, determine the spring constant k of the spring in N/m. Part C How much energy in J has been dissipated from the block-spring system after 5 seconds?

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Question

1
0.8
0.6
0.4
0.2
X -0.2
2.
3
4.
6
-0.4
-0.6
-0.8
-1
t (s)
(u) x

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

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