A 1.35 kg object moves as function of time as follows: x=5 cos⁡(1.27t+π/5), where distance is measured in metres and time in seconds.(a) What is the amplitude, frequency, angular frequency and time period of this motion? (b) Find the spring constant, maximum velocity and maximum acceleration of this object and calculate the position and velocity of the object at t=1.2 sec.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Oscillatory Motion
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Problem 14P: In an engine, a piston oscillates with simple harmonic motion so that its position varies according...
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A 1.35 kg object moves as function of time as follows: x=5 cos⁡(1.27t+π/5), where distance is measured in metres and time in seconds.(a) What is the amplitude, frequency, angular frequency and time period of this motion?
(b) Find the spring constant, maximum velocity and maximum acceleration of this object and calculate the position and velocity of the object at t=1.2 sec. 
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