Unit 6: Oscillations

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<p>Simple harmonic motion</p>

Simple harmonic motion

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<p>Simple harmonic motion</p>
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<p>Simple harmonic motion</p>

Simple harmonic motion

A type of periodic motion in which the restoring force is proportional to the displacement from equilibrium position and acts in the opposite direction to the displacement.

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Hooke’s Law

The force required to extend or compress a spring is proportional to its displacement from its equilibrium position.

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a spring with spring constant k, the elastic potential energy it possesses—relative to its equilibrium position

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Oscillation

The back-and-forth motion of an object about its equilibrium position.

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Amplitude

The maximum displacement of an oscillating object from its equilibrium position.

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Period

The time taken by an oscillating object to complete one cycle of motion.

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Frequency

The number of cycles per unit time of an oscillating object.

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Restoring force

The force that brings an oscillating object back to its equilibrium position.

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Spring constant

The constant that relates the force exerted by a spring to its displacement from its equilibrium position.

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Angular frequency

The rate at which an oscillating object completes one cycle of motion in radians per unit time.

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Phase angle

The initial angle of an oscillating object at the start of its motion.

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Resonance

A phenomenon in which an object is forced to vibrate at its natural frequency due to the application of an external force at the same frequency.

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simple pendulum

Consists of a weight of mass m attached to a massless rod that swings, without friction, about the vertical equilibrium position.

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the magnitude of the restoring force when the bob is θ to an angle to the vertical

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