At t = 0, find the position of the piston. (b) At t = 0, find velocity of the piston. (c) At t = 0, find acceleration of the piston.   (d) Find the period and amplitude of the motion.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter16: Oscillations
Section: Chapter Questions
Problem 28PQ: We do not need the analogy in Equation 16.30 to write expressions for the translational displacement...
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In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression,

x = 3.00 cos(4t +(pi/6))

where x is in centimeters and t is in seconds.

(a) At t = 0, find the position of the piston.


(b) At t = 0, find velocity of the piston.


(c) At t = 0, find acceleration of the piston.
 

(d) Find the period and amplitude of the motion.
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