SOLUTION: I'm having a lot of trouble with this problem, any help would be of great use! 1. For the simple harmonic motion described by the trigonometric function, find a)the maximum disp

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Question 825614: I'm having a lot of trouble with this problem, any help would be of great use!
1. For the simple harmonic motion described by the trigonometric function, find a)the maximum displacement, b) the frequency and, C) the least positive value of t for which
d=0, d= 2/3cos30pIt

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
1. For the simple harmonic motion described by the trigonometric function,
d(t) = (2/3)cos(30pI t)
----------
Find::
a)the maximum displacement:: amplitude = 2/3
---------------
b) the frequency:: (2pi)/(30pi) = 1/15
---------------
C) the least positive value of t for which d=0
------------------------------
Solve (2/3)cos(30pI t) = 0
----
cos(30pi t) = 0
---
Since cos = 0 when the angle = pi/2
30pi t = pi/2
60t = 1
t = 1/60 radians
----------------------
Cheers,
Stan H.
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