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An object is in simple harmonic motion with frequency 2. Suppose y(0) = 3 and y'(0) = 6. Find its displacement for t > 0. Also, find the amplitude of the oscillation and the sine and cosine of the initial phase angle o. Displacement: y(t) Amplitude sin(ø) = %3D cos(ø) %3D

An object is in simple harmonic motion with frequency 2. Suppose y(0) = 3 and y'(0) = 6. Find its displacement for t > 0. Also, find the amplitude of the oscillation and the sine and cosine of the initial phase angle o. Displacement: y(t) Amplitude sin(ø) = %3D cos(ø) %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 2 <> An object is in simple harmonic motion with frequency 2. Suppose y(0) = 3 and y' (0) 6. Find %3D its displacement for t > 0. Also, find the amplitude of the oscillation and the sine and cosine of the initial phase angle ø. Displacement: y(t) Amplitude sin(ø) cos(ø) =
Transcribed Image Text:Question 2 <> An object is in simple harmonic motion with frequency 2. Suppose y(0) = 3 and y' (0) 6. Find %3D its displacement for t > 0. Also, find the amplitude of the oscillation and the sine and cosine of the initial phase angle ø. Displacement: y(t) Amplitude sin(ø) cos(ø) =
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