2. A point P moving in a simple harmonic motion makes 10 complete revolutions every 1 sec. The amplitude of the motion is 2 m. Assuming that P is at its minimum displacement with respect to the equilibrium when t = 0 and there is a vertical shift of 2 m downward, find a sine function that describes the path traced by P in terms of time t.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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Answer the following with complete solution. 

2. A point P moving in a simple harmonic motion makes 10 complete revolutions every 1
sec. The amplitude of the motion is 2 m. Assuming that P is at its minimum
displacement with respect to the equilibrium when t = 0 and there is a vertical shift
of 2 m downward, find a sine function that describes the path traced by P in terms of
time t.
Transcribed Image Text:2. A point P moving in a simple harmonic motion makes 10 complete revolutions every 1 sec. The amplitude of the motion is 2 m. Assuming that P is at its minimum displacement with respect to the equilibrium when t = 0 and there is a vertical shift of 2 m downward, find a sine function that describes the path traced by P in terms of time t.
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