A 300-g mass vibrates according to the equation x = 0.38

Chapter 5, Problem 21P

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QUESTION:

Problem 21P

A 300-g mass vibrates according to the equation x = 0.38 sin 6.50t, where x is in meters and t is in seconds. Determine (a) the amplitude, (b) the frequency, (c) the period, (d) the total energy, and (e) the KE and PE when x is 9.0 cm. (f) Draw a careful graph of x vs. t showing the correct amplitude and period.

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QUESTION:

Problem 21P

A 300-g mass vibrates according to the equation x = 0.38 sin 6.50t, where x is in meters and t is in seconds. Determine (a) the amplitude, (b) the frequency, (c) the period, (d) the total energy, and (e) the KE and PE when x is 9.0 cm. (f) Draw a careful graph of x vs. t showing the correct amplitude and period.

ANSWER:

Step 1 of 7

We know the general form of the motion

Where  

and

Given equation for motion

 

 

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