Find a model for simple harmonic motion satisfying the specified

Mary Jackson

Mary Jackson

Answered question

2021-12-26

Find a simple harmonic motion model that meets the required criteria. Displacement (r = 0) 2 feet, Amplitude 2 feet, Period 10 seconds

Answer & Explanation

vicki331g8

vicki331g8

Beginner2021-12-27Added 37 answers

We must identify the simple harmonic motion model in which:
Displacement =2 feet
Amplitude = 2 feet
Period = 10 seconds
When t=0, displacement is 2 feet, so we'll use the following equation:
d=acosω
The motion has amplitude: |a|. Therefore,
a=2
The motion has a period: 2πω. Therefore
2πω=10ω=π5
Substituting this into the equation
d=acosω
we obtain that the model for simple harmonic motion is:
d=2cosπ5t
Result: d=2cosπ5t

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