Each diagram may contain flaws that would not be observed with real springs. For each diagram: a. Determine whether there is a flaw. If there is a flaw, describe it (a single flaw is sufficient) and continue to the next diagram. If there are no flaws, answer parts b and c. b. Make a sketch that shows the shape, width, and direction of motion of the incident pulse. c. Determine which pulse is the reflected pulse and which is the transmitted pulse.

5. Simple Harmonic Motion: An object is attached to a coiled spring. It is pulled down a distance of 6 inches from its equilibrium position and released. The period of the motion is 4 seconds. a. Show your work for modeling an equation of the objects simple harmonic motion d = acos wt where d is distance from the rest position and the period is , w > 0. A hand sketch may be helpful, but is not required. b. What is the frequency? c. When t = 3 find the distance and interpret it.

Please provide details about your resolution process. Please show complete, organized and correct work for each question. Questions without complete and clear work will earn no points. You’re welcome to use your textbook and notes, but no calculators. One way to tune a piano is to strike a tuning fork (which emits only one specific frequency), then immediately strike the piano key for the frequency being sounded by the fork, and listen for beats. If the frequency of an out-of-tune A4string is 420.0 Hz, and a tuner strikes an A4 tuning fork (frequency 440.0 Hz),a. …what beat frequency will the tuner hear?a) ????? = _____________________b. …and what frequency note will the tuner hear?b) ????? = _____________________

Part A and B

3 Wave properties A sinusoidal wave, graphed above at time t = 0 seconds, travels right with velocity 8.0 m/s. Being sure to specify units... t = 0 y v = 8 m/s -7 m Problem 3.1. What is this wave's amplitude ym? Problem 3.2. What is its wavelength \? Problem 3.3. What is its wavenumber k? 5 m x