In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, (3t+1) x = 7.00 cos (3t+ where x is in centimeters and t is in seconds. (a) At t = 0, find the position of the piston. cm (b) At t = 0, find velocity of the piston. cm/s (c) At t = 0, find acceleration of the piston. cm/s²

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
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In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression,
(3t+1)
x = 7.00 cos (3t+
where x is in centimeters and t is in seconds.
(a) At t = 0, find the position of the piston.
cm
(b) At t = 0, find velocity of the piston.
cm/s
(c) At t = 0, find acceleration of the piston.
cm/s²
(d) Find the period and amplitude of the motion.
period
S
amplitude
cm
Transcribed Image Text:In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, (3t+1) x = 7.00 cos (3t+ where x is in centimeters and t is in seconds. (a) At t = 0, find the position of the piston. cm (b) At t = 0, find velocity of the piston. cm/s (c) At t = 0, find acceleration of the piston. cm/s² (d) Find the period and amplitude of the motion. period S amplitude cm
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