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Period of Simple Harmonic Motion

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Presentation on theme: "Period of Simple Harmonic Motion"— Presentation transcript:

1 Period of Simple Harmonic Motion

2 Time Period of Springs An object that vibrates with simple harmonic motion is called a simple harmonic oscillator. The period of a simple harmonic oscillator depends on: The stiffness if the spring (k) Mass that is oscillating

3 Frequency and Time Period
The frequency of SHM is the inverse of the period

4 Sample Problem A 0.23 kg object vibrates at the end of a horizontal spring (k = 32N/m) along a frictionless surface. What is the period of the vibration?

5 Sample Problem A 2.7 N object vibrates at the end of a vertical spring. If the frequency of the vibration is 1.1Hz, what is the spring constant?

6 Calculating the Time Period of a Pendulum
The period of vibration for a pendulum depends on: Length of the pendulum (l) Gravitational field strength (g)

7 Sample Problem Find the length of a pendulum that has a period of 0.90s

8 Homework p. 156 #1 – 8 p. 158 #1 – 9


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