# find a model for simple harmonic motion that has an initial displac

Content type
User Generated
Rating
Showing Page:
1/2
Find a model for simple harmonic motion that has an
initial displacement (t=0) of 0 inches, an amplitude of 6
inches, and a frequency 2/3 cycles per second.: *
d=6sin((4pi/3)*t)
d=6cos((3pi/4)*t)
d=6sin((3pi/4)*t)
Solution
harmonic motion can take the form of either:
y = Asin(B(t - C)) + D
or
y = Acos(B(t - C)) + D
|A| = amplitude
2pi/|B| = period
C = horizontal shift or phase shift
D = vertical shift

Showing Page:
2/2

Unformatted Attachment Preview
Find a model for simple harmonic motion that has an initial displacement (t=0) of 0 inches, an amplitude of 6 inches, and a frequency 2/3 cycles per second.: * Answers are: d=6cos((4pi/3)*t) d=6sin((4pi/3)*t) d=6cos((3pi/4)*t) d=6sin((3pi/4)*t) Solution harmonic motion can take the form of either: y = Asin(B(t - C)) + D or y = Acos(B(t - C)) + D |A| = amplitude 2pi/|B| = period C = horizontal shift or phase shift D = vertical shift |A| = 6 since amplitude is given Initial displacement of 0 at t = 0 means D = 0 (no vertical shift). It also means you want a sine curve because regular cosi ...
Purchase document to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

### Review

Anonymous
Just what I was looking for! Super helpful.

Studypool
4.7
Indeed
4.5
Sitejabber
4.4