Oscillations

Simple Harmonic Motion and Uniform Circular Motion

Simple Harmonic Motion and Uniform Circular Motion In  Galileo, using his newly constructed telescope, discovered the four principal moons of Jupiter. Over weeks of observation, each moon seemed to him to be moving back and forth relative to the planet in what today we would call simple harmonic motion; the disk of the planet was the midpoint of …

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Measuring. g

Measuring. g We can use a physical pendulum to measure the free-fall acceleration g at a panicular location on Earth’s surface. (Countless thousands of such  easurements have been made during geophysical prospecting.) To analyze a simple case, take the pendulum to be a uniform rod of length L suspended from one end. For such a pendulum, h in the …

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The Physical Pendulum

The Physical Pendulum .A real pendulum, usually called a physical pendulum, can have a complican distribution of mass, much different from that of a simple pendulum. Does a physic pendulum also undergo SHM If sowhat is its period  shows an arbil!’VY physical pendulum displaced to one side I angle 8. The gravitational force 1,acts at its center of mass …

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Pendulums

Pendulums We turn now to a class of simple harmonic oscillators in which the springiness is associated with the gra\’itational force rather than with the elastic properties of a twisted wire or a compressed or stretched spring.

Sample Problem

Sample Problem This maximum speed occurs when the oscillating block is rushing through the origin; compare Figs. 16-4a and 16-4b, where you can see that the speed is a maximum whenever x = O. Sample Problem 16-1 A block whose mass m is 680 g is fastened to a spring whose spring constant k is …

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