A 0.60-kg mass vibrates according to the equation x = 0.45

Chapter 5, Problem 16P

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QUESTION:

(II) A \(0.60-\mathrm{kg}\) mass vibrates according to the equation x=0.45 cos 6.40t, where x is in meters and t is in seconds. Determine  (a) the amplitude,  (b) the frequency,  (c) the total energy, and (d) the kinetic energy and potential energies when \(x=0.30 \mathrm{~m}\).

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QUESTION:

(II) A \(0.60-\mathrm{kg}\) mass vibrates according to the equation x=0.45 cos 6.40t, where x is in meters and t is in seconds. Determine  (a) the amplitude,  (b) the frequency,  (c) the total energy, and (d) the kinetic energy and potential energies when \(x=0.30 \mathrm{~m}\).

ANSWER:

Step 1 of 5

(a)

The general form of the motion is

                                                          

Now the given equation is

                                                     

 

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