A pendulum swings back and forth. How many times does it pass through the equilibrium position during one cycle of its motion? Assume the cycle begins when the pendulum is at maximum displacement from equilibrium.

You take your pulse and observe 74 heartbeats in a minute. What are the period and frequency of your heartbeat?

If you dribble a basketball with a frequency of 1.8 Hz, how long does it take for you to complete 12 dribbles?

Tuning forks are used to diagnose a nervous system disorder that has reduced sensitivity to vibrations as a symptom. The medical tuning fork has a frequency of 128 Hz. What is its period of oscillation?

While fishing for catfish, a fisherman suddenly notices that the bobber (a floating device) attached to his line is bobbing up and down with a frequency of 2.6 Hz. What is the period of the bobber's motion?

A person in a rocking chair completes 12 cycles in 21 s. What are the period and frequency of the rocking motion?

A string with a length of 0.75 m is tied down at both ends. The frequency of the first harmonic on this string is 2.4 Hz. What are the period of the first harmonic and the speed of the waves on the string? (A) period = 0.42 s, speed = 3.6 m/s (B) period = 0.75 s, speed = 2.4 m/s (C) period = 1.3 s, speed = 1.9 m/s (D) period = 2.4 s, speed = 1.7 m/s

What is the speed of the cart when its position is x = -0.10 m?

An old car with worn-out shock absorbers oscillates with a given frequency when it hits a speed bump. (a) If the driver takes on two more passengers and hits another speed bump, is the car's frequency of oscillation greater than, less than, or equal to what it was before? (b) Choose the best explanation from among the following: A. Increasing the mass on a spring increases its period and thus decreases its frequency. B. The frequency depends on the spring constant of the spring but is independent of the mass. C. Adding mass makes the spring oscillate more rapidly, which increases the frequency.

Rank the following mass-spring systems in order of increasing period of oscillation, indicating any ties. System A consists of a mass m attached to a spring with a spring constant k; system B has a mass 2m attached to a spring with a spring constant k; system C has a mass 3m attached to a spring with a spring constant 6k; and system D has a mass m attached to a spring with a spring constant 4k.

A mass on a spring moves back and forth in simple harmonic motion with amplitude A and period T. In terms of T, how long does it take for the mass to move through a total distance of 3A?

Would the period of a mass-spring system be different on the Moon than it is on the Earth? Explain.

A string is tied to a wall at either end. If the wavelength of the first harmonic on this string is 0.65 m, what is the separation between the walls?

A 0.33-m string is tied to a wall at either end. Which of the following wavelengths produces a standing wave on this string?

$$\begin{array}{|c|c|c|c|} \hline \begin{array}{c} \text { Wavelength } \\ \mathbf{1} \end{array} & \begin{array}{c} \text { Wavelength } \\ \mathbf{2} \end{array} & \begin{array}{c} \text { Wavelength } \\ \mathbf{3} \end{array} & \begin{array}{c} \text { Wavelength } \\ \mathbf{4} \end{array} \\ \hline 0.22 \mathrm{m} & 0.33 \mathrm{m} & 0.44 \mathrm{m} & 0.66 \mathrm{m} \\ \hline \end{array}$$