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Click on the image below to launch the video: Harmonic Motion. Once you have wat

ID: 2036001 • Letter: C

Question

Click on the image below to launch the video: Harmonic Motion. Once you have watched the entire video, answer the graded follow-up questions on the right. You can watch the video again at any point.

This video shows two masses on springs, each accompanied by a graph of its position versus time.

Part A

What is an expression for x1(t), the position of mass I as a function of time? Assume that the position is measured in meters and time is measured in seconds.

Express your answer as a function of t. Express numerical constants to three significant figures.

x1(t) =

Part B

What is x2(t), the position of mass II as a function of time? Assume that position is measured in meters and time is measured in seconds.

Express your answer as a function of t. Express numerical constants to three significant figures.

x2(t) =

PEARSON

Explanation / Answer

x1(t) = sin(2*pi*t - pi/2)

x2(t) = sin(1*pi*t+pi/2)

in both cases the aplitude of oscullation is 1 m. however both are offset by pi/2 radians on either side hence an offset of pi/2 is added inside the sin equation

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