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 15.4P: In an engine, a piston oscillates with simpler harmonic motion so that its position varies according...
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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
Transcribed Image Text: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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