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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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