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Please give me a brief introduction on Hooke’s Law and Simple Harmonic Motion. Also explain why...

Please give me a brief introduction on Hooke’s Law and Simple Harmonic Motion. Also explain why is the Hooke’s Law force equation has a negative sign.

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Answer #1

when a spring is connected at its one end by a mass and other end is fixed to a rigid support,now by placing the system on a smooth horizontal surface if we pull the mass a side and released ,it executes simple harmonic motion

in this case according to Hooke's law the restoring force applied by the spring is

the negative sign is due to force is opposite to elongation x

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