16 Harmonic Motion

# 16 Harmonic Motion - The differential equation –(k/m)x...

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THE MECHANICAL UNIVERSE Name:  Mai Nguyen                                                                                 Video 16. Harmonic Motion   Class: PHYS 2425 1P1                                     1. How did Galileo supposedly time the swings of the swinging lamp in Pisa? He realized that each swing took the same amount of time. He timed the swings by timing his own pulse. 2. What sort of factors affect an instruments tone? Frequency (pitch), the length of the string, the size of the instrument, the technique at which it is played, and the musicians’ expertise. 3. How long after the sun dial was the water clock invented? About 500 years after. 4. What type of function describes simple harmonic motion?

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Unformatted text preview: The differential equation –(k/m)x = (d^2x)/(dt^2). Later, someone correctly guessed that it would resemble a sine function. x=A sin w t 5. What is special about the timing of a harmonic oscillator as the oscillations die down? The period of time for each cycle remains constant, even when the motion itself is slowing down. 6. Why must clocks be wound? Friction and air resistance and other factors tend to make them slow down. These factors turn the energy into heat. 7. Who answered the question of why a pendulum’s swing does not depend on its mass? Isaac Newton. 8. What are the 2 conditions for stability? No net force, disturbing this must produce a force to push it back to where it was 9. What type of motion results in the disturbance of a stable system? Simple harmonic motion...
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16 Harmonic Motion - The differential equation –(k/m)x...

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