The figure below shows the displacement of a simple harmonic oscillator as a fun

Question

The figure below shows the displacement of a simple harmonic oscillator as a function of time. (The grid spacing on the t-axis is 5 s and on the y-axis is 15 cm.)

(a) Find the period, frequency, and amplitude of the oscillator.

(b) At what time(s) does the acceleration have its largest positive value? (Select all that apply.)

a)5 s b)10 s c)15 s d)20 s E)25 s F) 30 s G)35 s H)40 s

(c) When does the acceleration have its most negative value? (Select all that apply.)
A)5 s B)10 sC)15 sD) 20 s E)25 s F)30 s G)35 s H)40 s

Explanation / Answer

a) from figure

Time period = 4*5 = 20 s

frequency, f = 1/T = 1/20 = 0.05 Hz

Apmlitude = 2*15 = 30 cm or 0.3 m

b) When the partcile is at negative extreme point it has maximum positive acceleration.

c) 15 s

G) 35 s

part c) When the partcile is at positive extreme point it has maximum negative acceleration.

A) 5s

E) 25 s

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