Answered: In the above question let us consider…

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter3: Oscillations

Section: Chapter Questions

Problem 3.31P

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Question

In the above question let us consider the position of mass when the spring is relaxed as x = 0, and the left to right direction as the positive direction of the x-axis.
Provide x as a function of time t for the oscillating mass, if at the moment we start the stopwatch (t = 0), the mass is:
( i ) at the mean position,
( ii ) at the maximum stretched position, and
( iii ) at the maximum compressed position.

Expert Solution

Step 1

Given:

Spring constant, k = 1200 N/m

Mass, m = 6 kg

Displacement, A = 4.0 cm = 0.04 cm

ω = 14.14 s^-1

( i )Since time is measured from mean position, x = A sin ω t x = 4 sin 14.14t

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