Physics Section 11.2 Apply properties of pendulums and springs A pendulum exhibits harmonic motion. A complete cycle is called an oscillation. The maximum.

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Presentation transcript:

Physics Section 11.2 Apply properties of pendulums and springs A pendulum exhibits harmonic motion. A complete cycle is called an oscillation. The maximum displacement from equilibrium is the amplitude. The time it takes for a complete cycle (oscillation) is the period. The number of cycles that are completed in one second is the frequency. It is measured in hertz(Hz) The period (T) and the frequency (f) are reciprocals.

The period of a pendulum depends upon its length and the acceleration due to gravity. T = 2π T = period (s) L = length(m) a = acceleration due to gravity (m/s 2 ) A pendulum has length of 2.5 m. What is its period?

example A pendulum has a period of 2.0 s. How long is it?

The period of a mass-spring system depends upon the mass and the force constant of the spring. T = 2π T = period (s) m = mass (kg) K = force constant (N/m)

example A.15 kg mass oscillates on a spring with a force constant of 8.0 N/m. Find its period and frequency.

example A mass of.65 kg oscillates on a spring with a frequency of.50 hz. Find its force constant.

assignment Page 381 Problems 1 - 4