In an engine, a piston oscillates with simple harmonic motion so that its position varies according to
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Question:
In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x ( t ) = 15.0 cos( 20.0 t ) where x is in centimeters and t is in seconds.
(a) What is the period of the motion?
(b) What is the amplitude of the motion?
(c) At t = 1 s, find the position of the piston.
(d) At t = 1 s, find the velocity of the piston.
(e) At t = 1 s, find the acceleration of the piston.
(f) Sketch a plot of the acceleration as a function of time. Scale the plot properly.
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