why is it pie - (pie/6)? why is it not in quadrant 3? Simple Harmonic Motion ExampleAn object on a spring oscillates back and forth without friction or air resistancearound the point x = 0. The period of the motionis 0.80s and its amplitude is20cm. At timet= 0, the mass is moving with a velocity v,(0) =-78.S cm/s andits posītion is negative. Determine the position and velocity of the mass at 2.5s.x (t) = A'cm (anE ++)v (t) = - Aw sin (wt+¢)Find $.A - 20cm- 7.75v(0) = -Awsin(aw-O+¢)vIo) = - Aw sin (¢) solve ford%3DT=0.8s →o8svlo) - -79.5x lo)

ϕ is the phase constant. A sine function can be written as,…

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why is it pie - (pie/6)? why is it not in quadrant 3?

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Oscillatory Motion

Section: Chapter Questions

Problem 15.12OQ: For a simple harmonic oscillator, answer yes or no to the following questions, (a) Can the...

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Question

why is it pie - (pie/6)?

why is it not in quadrant 3?

Simple Harmonic Motion Example
An object on a spring oscillates back and forth without friction or air resistance
around the point x = 0. The period of the motionis 0.80s and its amplitude is
20cm. At timet= 0, the mass is moving with a velocity v,(0) =-78.S cm/s and
its posītion is negative. Determine the position and velocity of the mass at 2.5s.
x (t) = A'cm (anE ++)
v (t) = - Aw sin (wt+¢)
Find $.
A - 20cm
- 7.75
v(0) = -Awsin(aw-O+¢)
vIo) = - Aw sin (¢) solve ford
%3D
T=0.8s →
o8s
vlo) - -79.5
x lo) <o
unid eirde
cm
= sin' ?-5
-20cm. 7.85^
v(
- sin
Aw
* - sin" (0.s)
X.
T-T/
%3D
which is
comeet?
%3D
11

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