An object attached to a light spring is moving in simple harmonic motion on a ho

Question

An object attached to a light spring is moving in simple harmonic motion on a horizontal frictionless surface. The object's position as a function of time is given in the figure above. The vertical scale of the graph is such that the separation between adjacent tick marks on the vertical axis corresponds to 8.00 cm and the separation between adjacent tick marks on the horizontal axis corresponds to  

An object attached to a light spring is moving in simple harmonic motion on a horizontal frictionless surface. The object's position as a function of time is given in the figure above. The vertical scale of the graph is such that the separation between adjacent tick marks on the vertical axis corresponds to 8.00 cm and the separation between adjacent tick marks on the horizontal axis corresponds to 0.790 s. What is the amplitude A of the motion of the object? What is the period T of oscillation for the motion? What is the frequency f of the motion? (Note: 1 Hz = 1 cycle/s.)

Explanation / Answer

1 vertical mark = 8.0cm

1 horizontal mark = 0.79s

a/ amplitude = 2 ticks = 2(8) = 16cm

b/ period T = 4 ticks = 4(0.790) = 3.160s

c/ frequency f=1/T = 1/3.160s = 0.3165hz

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