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Chapter 16 | Oscillatory Motion and Waves
Test Prep for AP® Courses
16.1 Hooke’s Law: Stress and Strain Revisited
1. Which of the following represents the distance (how much ground the particle covers) moved by a particle in a simple harmonic motion in one time period? (Here, A represents the amplitude of the oscillation.)
a. 0 cm b. Acm c. 2Acm d. 4Acm
2. A spring has a spring constant of 80 N·m−1. What is the force required to (a) compress the spring by 5 cm and (b) expand the spring by 15 cm?
3. In the formula , what does the minus sign
indicate?
a. It indicates that the restoring force is in the direction of
the displacement.
b. It indicates that the restoring force is in the direction
opposite the displacement.
c. It indicates that mechanical energy in the system
decreases when a system undergoes oscillation.
d. None of the above
4. The splashing of a liquid resembles an oscillation. The restoring force in this scenario will be due to which of the following?
a. Potential energy
b. Kinetic energy
c. Gravity
d. Mechanical energy
16.2 Period and Frequency in Oscillations
5. A mass attached to a spring oscillates and completes 50 full cycles in 30 s. What is the time period and frequency of this system?
16.3 Simple Harmonic Motion: A Special Periodic Motion
6. Use these figures to answer the following questions.
Figure 16.49
a. Which of the two pendulums oscillates with larger amplitude?
b. Which of the two pendulums oscillates at a higher frequency?
7. A particle of mass 100 g undergoes a simple harmonic motion. The restoring force is provided by a spring with a
spring constant of 40 N·m−1. What is the period of oscillation?
a. 10π b. 0.5π c. 0.1π d. 1π
8. The graph shows the simple harmonic motion of a mass m attached to a spring with spring constant k.
Figure 16.50
What is the displacement at time 8π?
a. 1 m
b. 0 m
c. Not defined
d. −1 m
9. A pendulum of mass 200 g undergoes simple harmonic motion when acted upon by a force of 15 N. The pendulum
crosses the point of equilibrium at a speed of 5 m·s−1. What is the energy of the pendulum at the center of the oscillation?
16.4 The Simple Pendulum
10. A ball is attached to a string of length 4 m to make a
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