A point on a string undergoes simple harmonic motion as a sinusoidal wave passes. When a sinusoidal wave with speed 24 m/s, wavelength 30 cm, and amplitude of 1.0 cm passes, what is the maximum speed of a point on the string?

A thin, uniform hoop of mass M and radius R is suspended from a horizontal rod and set oscillating with small amplitude, as shown in the given figure. Show that the period of the oscillations is $2 \pi \sqrt{2 R / g}$. (Hint: You may find the parallel-axis theorem useful.)

A sheet of cardboard 12 in square is used to make an open box by cutting squares of equal size from the four corners and folding up the sides. What size squares should be cut to obtain a box with largest possible volume?

Solve. Granger Middle School has 6 student council representatives from the seventh grade. Part A The seventh grade wants to send two representatives to the school board meeting. How many combinations of two representatives can be selected from the 6 members? Show all your work. _____ Part B The seventh grade student council wants to elect a president and vice president from its members. Four students volunteer for the positions. How many combinations of president and vice president can be selected from the 4 members? Show all your work. _____

Suppose that during each step, the leg of the student swings through a total distance of $2.0 \mathrm{~m}$. At the end of the swing, this foot rests on the ground for $0.2 \mathrm{~s}$ before the other leg begins its swing.
a. At what speed does this student walk? (Think carefully about how far forward the student moves at each step.)
b. The swinging leg reaches its maximum speed at the bottom of its arc. How many times faster is this maximum leg speed (measured with respect to the ground) than the average walking speed?

Change the present tense verb into the perfect, keeping the same person and number. Translate the changed sentence: Eorum epistulam iam lego.

What effect does Walker create through her use of repetition and parallelism at the end of the essay? Cite specific examples from the text in your response.

A mass on a string of unknown length oscillates as a pendulum with a period of 4.0 s. What is the period if a. The mass is doubled? b. The string length is doubled? c. The string length is halved? d. The amplitude is doubled? Parts a to d are independent questions, each referring to the initial situation.

A mass on a string of unknown length oscillates as a pendulum with a period of 5.0 s.

What is the period if the mass is doubled? .

Show that a doubling of sound intensity corresponds to approximately a 3-dB increase in the decibel level.

A 2.0-m-tall man is 5.0 m from the converging lens of a camera. His image appears on a detector that is 50 mm behind the lens. How tall is his image on the detector? A. 10 mm B. 20 mm C. 25 mm D. 50 mm

You are standing $1.5 \mathrm{~m}$ from a mirror, and you want to use a classic camera to take a photo of yourself. This camera requires you to select the distance of whatever you focus on. What distance do you choose?

a. An FM radio station broadcasts at a frequency of 101.3 MHz. What is the wavelength? b. What is the frequency of a sound source that produces the same wavelength in 20$^{\circ}$C air?

As we discussed earlier is a history graph at $x=0 \mathrm{~m}$ of a wave moving to the right at $2 \mathrm{~m} / \mathrm{s}$. What are the amplitude, frequency, and wavelength of this wave?