Simple Harmonic Motion

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Simple Harmonic Motion

• Oscillatory Motion

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Definition
Repetitive back-and-forth movement through a
central, or equilibrium, position in which the
maximum displacement on one side is equal to the
maximum displacement on the other.
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armonic-motion-2
Motion that repeats in a simple pattern Mr. Dole
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Period and Frequency
Period Time needed to complete one
cycle Frequency Number of cycles per second
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Equation
Mass and Spring
Pendulum
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Problem 1
What is the period of a mass and spring system
that consists of a 2 kg mass on a spring with a
spring constant of 100 N/m?
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Problem 2
What is the period of a mass and spring system
that consists of a 4 kg mass on a spring with a
spring constant of 100 N/m?
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Problem 3
What is the period of a 5 m long pendulum on the
earth?
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Problem 4
What is the period of a 5 m long pendulum on the
moon (g1.6 m/s2)?
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Problem 5
A 5 kg mass is placed on a spring and set into
motion. The period of the motion is 0.63 s. What
is the spring constant of the spring?
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Problem 6
The frequency of a pendulum is measured to be
0.25 Hz. What is the length of the pendulum?