Homework1_08soln

Homework1_08soln - Sketch the waveform of a damped simple...

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Homework #1 Solutions Question 1 Draw graphs of the following. a. A square wave of period T= 10 ms and amplitude A=1 V b. A sawtooth wave of period T=2 ms and amplitude A=2 V
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c. A triangular wave of period T=5 ms amplitude A=3 V Calculate the frequencies of these waves. 1 f T = \!/ Warning. The units “ms” mean milliseconds – one thousandth of a second. 1 ms = 0.001 s. “ms” is NOT a meter times a second. a) f = 1/10ms = 1/0.01s = 100 Hz (or 0.1 kHz since 1/kHz = ms). b) f = 1/2ms = 1/.002s = 500 Hz c) f = 1/5ms = 1/.005s = 200 Hz Question 2 Draw a graph of two sinusoidal waves that have the same period (T=4 s) and amplitude (A=1 V) where the phase of the second wave is 90 0 ( π /2 radians) behind the phase of the first. The green curve is π /2 radians behind the blue curve in phase.
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Question 3
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Unformatted text preview: Sketch the waveform of a damped simple harmonic oscillator of (period T=1 s) for two complete oscillations. Question 4 What are the units of position, velocity, acceleration, and momentum? How does force affect motion (this is called Newtons second law)? Position has the units of meters (m). Velocity has the units of meters per second (m/s). Acceleration has the units of meters per second-squared ( 2 m s ). Momentum is mass times velocity, so the units are kilogram meters per second ( kg m s ). Force is what it takes to change the velocity of motion. In other words, force produces acceleration according to Newtons second law: F ma = The story for this equation is: F is the force, m is the mass, and a is the acceleration that the force produces....
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This note was uploaded on 03/30/2008 for the course 029 044 taught by Professor Skiff during the Spring '08 term at University of Iowa.

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Homework1_08soln - Sketch the waveform of a damped simple...

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