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## Pendulums

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**Pendulums**• General Physics**Periodic Motion**• A motion that is regular and repeating • Examples • Circular motion • Mass bouncing up and down on a spring • Pendulums**Simple Harmonic Motion (SHM)**• motion that returns an object to its rest position • caused by a restoring force that is directly proportional to the objects displacement**Measuring the Motion of a Pendulum**• Bob: • the mass that at is hung on the end of a string that makes up the pendulum • measured in kg • Length: • Measured from point of attachment to center of bob in the rest position. • measured in meters**Measuring the motion of a pendulum**• Rest position: • Also known as the equilibrium position • Located at bottom of swing • Period: • the time for one complete cycle (forward and back to same position) • symbol: T • unit: seconds**Measuring the Motion of a Pendulum**• Frequency: • The number of complete cycles in a period of time • Symbol: f • Unit: 1/s or Hertz**Measuring the Motion of a Pendulum**• Amplitude: • The maximum displacement from the rest position. • Symbol: A • Unit: m • We will measure the amplitude of a pendulum by using a protractor to measure the degrees that the bob is pulled back from the rest position.**Equation to find Period**T=2Π(l/g)1/2 l= length g=acceleration due to gravity**Equation to find local acceleration of gravity**g = 4Π2(length)/T2