91Ó°ÊÓ

Define and state the units of the following fundamental physical quantities: a. position b. time c. velocity d. acceleration e. mass f. force g. weight h. pressure i. density

a. What is a linear restoring force? b. How is SHM related to a linear restoring force?

a. Give examples of motion that is periodic but not simple harmonic. b. Give examples of SHM. c. Is the brightness of a flashing automobile turn-signal light an example of simple harmonic motion? Is it periodic?

Draw graphs of the following: a. a triangular wave of period \(T=5 \mathrm{~ms}\) and amplitude \(A=2 \mathrm{~V}\) b. a square wave of period \(T=10 \mathrm{~ms}\) and amplitude \(A=3 \mathrm{~V}\) c. a sawtooth wave of period \(T=8 \mathrm{~ms}\) and amplitude \(A=1 \mathrm{~V}\) Calculate the frequencies of these waves

a. Draw a graph of motion that decreases in amplitude with time but remains constant in period. b. Draw a graph of motion that decreases in both period and amplitude as time progresses. Which is damped harmonic motion? Which is not? Explain.

a. Draw a graph of two sinusoidal waves of the same frequency and amplitude that differ in phase by \(180^{\circ}\). b. What term do we apply to two waves that have this phase relationship? c. Draw a graph of two sinusoidal waves of the same frequency but with a phase difference of \(90^{\circ}\). d. Identify which wave is ahead in phase. e. Do the same for two waves that differ in phase by \(45^{\circ}\).

Describe physically the relationship between the motions of two pendula whose oscillations a. are in phase b. are out of phase c. differ in phase by \(90^{\circ}\)

A mass is suspended on an ideal spring. It is lifted up \(5 \mathrm{~cm}\) and released from rest at \(t=0\), executing simple harmonic motion with a period of 1 s. Draw a graph of the motion beginning at \(t=0\) and including two full periods of the oscillation. Assume that the equilibrium position for the weight on the spring at rest is \(x=0\), and that up is positive.

Define resonance. Give some examples of resonance from music and other fields