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(e) time it takes the mass to get to the position x = -0.10 m after it has been released .12 X

(e) time it takes the mass to get to the position x = -0.10 m after it has been released .12 X

Principles of Physics: A Calculus-Based Text
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
Section: Chapter Questions
Problem 18P
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A mass of 0.12 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) = (0.36 m)cos[(20 rad/s)t]. Determine the following. (a) amplitude of oscillation for the oscillating mass .36 ✔ m (b) force constant for the spring 48 N/m (c) position of the mass after it has been oscillating for one half a period -.36 m (d) position of the mass one-third of a period after it has been released -.18 m (e) time it takes the mass to get to the position x = -0.10 m after it has been released .12 X How can you determine the time for the oscillating mass to get to a specific position from an expression for the position of the object at any time? s
Transcribed Image Text:A mass of 0.12 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) = (0.36 m)cos[(20 rad/s)t]. Determine the following. (a) amplitude of oscillation for the oscillating mass .36 ✔ m (b) force constant for the spring 48 N/m (c) position of the mass after it has been oscillating for one half a period -.36 m (d) position of the mass one-third of a period after it has been released -.18 m (e) time it takes the mass to get to the position x = -0.10 m after it has been released .12 X How can you determine the time for the oscillating mass to get to a specific position from an expression for the position of the object at any time? s
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