Question
Asked Apr 2, 2019
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A mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a stretched position. The position of the mass at any time is described by 

x = (6.4 cm)cos[2πt/(1.28 s)].

 Determine the following.

(a) period of the motion
 s

(b) frequency of the oscillations
 Hz

(c) first time the mass is at the position 
x = 0

 s

(d) first time the mass is at the site of maximum compression of the spring
 s
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Expert Answer

Step 1

(a)

Equation for simple harmonic motion is,

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Step 2

Comparing the given equation with the above expression, T = 1.28 s.

Step 3

(b)

Frequency ...

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Vibrations

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