Period of Simple Harmonic Motion

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Presentation transcript:

Period of Simple Harmonic Motion

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

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

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?

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?

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)

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

Homework p. 156 #1 – 8 p. 158 #1 – 9