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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
Simple Harmonic Motion (SHM)

SHM occurs when an object oscillates back and forth over the same path.

Examples



Shm terms
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:


  • Finding mass
    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?


    Car shocks
    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?


    Pendulums masses on strings
    Pendulums (Masses on Strings)


    Period of a pendulum
    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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