Worksheet
Practice: SHM Equations
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Refer to the following information for the next four questions.
The position of a harmonic oscillator is described by
where the displacement amplitude is x
_{o}
= 10 cm and the period is 0.25 seconds.
Calculate the position function of this harmonic oscillator.
What is the position of this harmonic oscillator at t = 0.75 seconds?
Calculate the position of the harmonic oscillator at 2.0 seconds.
Calculate the position of the harmonic oscillator at 2.3 seconds.
Refer to the following information for the next question.
A harmonic oscillator with an amplitude of 30 cm is displaced from equilibrium by +30 cm at t = 0. At t = 0.20 seconds, it is displaced from equilibrium by +27 cm, without having passed through the equilibrium position.
What is the period of the oscillator's motion?
Refer to the following information for the next two questions.
A block moving with SHM has a period of 2.0 seconds. The maximum displacement from equilibrium in any direction is 5.0 cm.
Write the equation to describe the displacement, given that at time t = 0 seconds the displacement is zero and the velocity is positive.
Write the equation to describe the displacement, given that at time t = 0 seconds the displacement is zero and the velocity is negative.
Refer to the following information for the next three questions.
A 0
.
50 kg air track glider is attached to the end of the track by a spring that has a constant of 20
.
0 N/m. The glider is compressed 15
.
0 cm from equilibrium and released, so that it oscillates back and forth on the frictionless air track surface.
What is the magnitude of maximum acceleration of the glider?
What is its acceleration at a time equal to 1/8
^{th}
of the oscillator's period?
What is its position at a time equal to 1/8
^{th}
of the oscillator's period?
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