A mass on a spring vibrates in simple harmonic motion at a frequency of 3.9 Hz and an amplitude of 7.8 cm.If a timer is started when its displacement is a maximum (hence x = 7.8 cm when t = 0),what is the displacement of the mass when t = 3.4 s?

A) zero
B) -0.005 m
C) 0.079 m
D) -1.239 m
E) -0.01 m

Question

A mass on a spring vibrates in simple harmonic motion at a frequency of 3.9 Hz and an amplitude of 7.8 cm.If a timer is started when its displacement is a maximum (hence x = 7.8 cm when t = 0),what is the displacement of the mass when t = 3.4 s?
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A) zero
B) -0.005 m
C) 0.079 m
D) -1.239 m
E) ​-0.01 m

Quizplus · Accepted Answer

The displacement in simple harmonic motion is given by x(t) = A * cos(2πft). Substituting A = 0.078 m, f = 3.9 Hz, and t = 3.4 s, we find x(3.4) ≈ -0.005 m.

A Mass on a Spring Vibrates in Simple Harmonic Motion