17. Periodic Motion

Intro to Simple Harmonic Motion (Horizontal Springs)

Multiple Choice
Two simple pendulums, A and B, are each 3.0 m long, and the period of pendulum A is T. Pendulum A is twice as heavy as pendulum B. What is the period of pendulum B?
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Multiple Choice
A 250 g air-track glider attached to a spring oscillates with maximum speed of $0.97 \frac{m}{s}$ . If the spring has a spring constant of $450 \frac{N}{m}$ , at what distance from the equilibrium position will the glider have a speed of $0.43 \frac{m}{s}$ ?
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Multiple Choice
A horizontal spring-mass system oscillates with a frequency of 0.40 Hz. What is the spring constant if the mass is 0.5 kg?
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Multiple Choice
Which one of the following statements is true concerning an object executing simple harmonic motion attached to a horizontal spring?
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Multiple Choice
Which of the following equations correctly gives the position of a simple harmonic oscillator attached to a horizontal spring as a function of time?
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Multiple Choice
Given the equation x(t) = A cos(ωt + φ) for a mass oscillating on a spring, what is the frequency of this motion?
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Multiple Choice
What is the equation for the position of a mass moving on the end of a spring which is stretched 8.8cm from equilibrium and then released from rest, and whose period is 0.66s? What will be the object's position after 1.4s?
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Multiple Choice
A mass-spring system with an angular frequency ω = 8π rad/s oscillates back and forth. (a) Assuming it starts from rest, how much time passes before the mass has a speed of 0 again? (b) How many full cycles does the system complete in 60s?
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Multiple Choice
An air-track glider attached to a spring oscillates between the 50 cm mark and the 62 cm mark. It completes seven oscillations in 10 s. What is the maximum speed of the glider as it oscillates?
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Multiple Choice
At what displacement (expressed as a fraction of the amplitude A of the motion) is the kinetic energy of the cart in simple harmonic motion half of its maximum value?
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Multiple Choice
In the context of simple harmonic motion of a horizontal spring, at which point is the acceleration of the mass the greatest?
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Multiple Choice
A pendulum in the service shaft of a building is used by a physics class for experiments. The shaft is dark, and the top of the pendulum cannot be seen. The bob of the pendulum is visible, and it is observed to complete 13 oscillations in 114 seconds. Assume the motion is simple harmonic. What is the period of the pendulum?
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