Let the position of a swinging pendulum in simple harmonic motion be given by S(t) Find the constant a and b such that when the velocity is 3 cm/s, S = 0 and t = 0: = a cos(t) + bsin(t) d (acost + bsint) - asint t bcost -asinlo) t bcos(0) : 3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 44E
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Let the position of a swinging pendulum in simple harmonic motion be
given by S(t) Find the constant a and b such that when the velocity is 3 cm/s, S = 0
and t = 0:
S(t) = a cos(t) + bsin(t)
d
(acost + bsint)
at
-asint + bcost
-asinlo) + bcos(o) = 3
Transcribed Image Text:Let the position of a swinging pendulum in simple harmonic motion be given by S(t) Find the constant a and b such that when the velocity is 3 cm/s, S = 0 and t = 0: S(t) = a cos(t) + bsin(t) d (acost + bsint) at -asint + bcost -asinlo) + bcos(o) = 3
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