In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x = 5.00 cos ( 5t + where x is in centimeters and t is in seconds. (a) At t = 0, find the position of the piston. 4.99 cm (b) At t = 0, find velocity of the piston. -0.274 |× cm/s (c) At t = 0, find acceleration of the piston. × cm/s2 |-124.9 (d) Find the period and amplitude of the motion. period 3.14 amplitude 5 cm

Principles of Physics: A Calculus-Based Text
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Chapter12: Oscillatory Motion
Section: Chapter Questions
Problem 14P: In an engine, a piston oscillates with simple harmonic motion so that its position varies according...
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In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression,
x = 5.00 cos ( 5t +
where x is in centimeters and t is in seconds.
(a) At t = 0, find the position of the piston.
4.99
|× cm
(b) At t = 0, find velocity of the piston.
x cm/s
-0.274
(c) At t = 0, find acceleration of the piston.
|× cm/s²
-124.9
(d) Find the period and amplitude of the motion.
period
3.14
amplitude 5
cm
Transcribed Image Text:In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x = 5.00 cos ( 5t + where x is in centimeters and t is in seconds. (a) At t = 0, find the position of the piston. 4.99 |× cm (b) At t = 0, find velocity of the piston. x cm/s -0.274 (c) At t = 0, find acceleration of the piston. |× cm/s² -124.9 (d) Find the period and amplitude of the motion. period 3.14 amplitude 5 cm
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