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Simple Harmonic Motion (SHM)

Simple Harmonic Motion (SHM). SHM occurs when an object oscillates back and forth over the same path. Examples. Masses on Springs. SHM Terms. Period, T , the time it takes to execute one complete cycle of motion. Units : Frequency, f , the number of cycles or vibrations per unit time.

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Simple Harmonic Motion (SHM)

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  1. Simple Harmonic Motion (SHM) SHM occurs when an object oscillates back and forth over the same path. Examples

  2. Masses on Springs

  3. SHM Terms • Period, T, the time it takes to execute one complete cycle of motion. • Units: • Frequency, f, the number of cycles or vibrations per unit time. • Units: • Amplitude, A, the maximum distance traveled by an object away from its equilibrium position. • Units:

  4. Finding Mass An object is attached to a spring and executes SHM with a period of 0.25 s. If the spring constant of the spring is 126.3 N/m then what is the mass of the object?

  5. Car Shocks A 1300 kg car is constructed on a frame supported by four springs. Each spring has a spring constant of 20,000 N/m. If two people riding in the car have a combined mass of 160 kg, find the: • Period of the vibration of the car when it is driven over a pothole in the road. • Frequency of the vibration of the car. • How long does it take the car to execute 3 complete cycles?

  6. Pendulums (Masses on Strings)

  7. Period of a Pendulum A simple pendulum of length 2 m oscillates on earth. • How many complete oscillations does it make in 5 min? • What is the period of the pendulum on moon where the force of gravity is 1/6 that of earth?

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