An object is undergoing simple harmonic motion along the x-axis. Its position is described as a function of time by x(t) = 2.8 cos(3.1t – 1.4), where x is in meters, the time, t, is in seconds, and the argument of the cosine is in radians. Find the amplitude of the simple harmonic motion in meters. What is the value of the angular velocity in radians per second. Determine the position of the object in meters and the objects velocity in meters per secondd when the time=0.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.45P
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 An object is undergoing simple harmonic motion along the x-axis. Its position is described as a function of time by x(t) = 2.8 cos(3.1t – 1.4), where x is in meters, the time, t, is in seconds, and the argument of the cosine is in radians.

Find the amplitude of the simple harmonic motion in meters.

What is the value of the angular velocity in radians per second.

Determine the position of the object in meters and the objects velocity in meters per secondd when the time=0.

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