A mass of 0.16 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by x(t) = (0.22 m)cos[(18 rad/s)t]. Determine the following. (a) amplitude of oscillation for the oscillating mass m (b) force constant for the spring N/m (c) position of the mass after it has been oscillating for one half a period m

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter12: Oscillatory Motion
Section: Chapter Questions
Problem 18P
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A mass of 0.16 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by
x(t) = (0.22 m)cos[(18 rad/s)t]. Determine the following.
(a) amplitude of oscillation for the oscillating mass
m
(b) force constant for the spring
N/m
(c) position of the mass after it has been oscillating for one half a period
m
(d) position of the mass one-third of a period after it has been released
(e) time it takes the mass to get to the position x = -0.10 m after it has been released
Transcribed Image Text:A mass of 0.16 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by x(t) = (0.22 m)cos[(18 rad/s)t]. Determine the following. (a) amplitude of oscillation for the oscillating mass m (b) force constant for the spring N/m (c) position of the mass after it has been oscillating for one half a period m (d) position of the mass one-third of a period after it has been released (e) time it takes the mass to get to the position x = -0.10 m after it has been released
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