An object undergoes simple harmonic motion of amplitude Aand angular frequency v about the equilibrium point x = 0. Useenergy conservation to show that the speed of the object at thegeneral position x is given by the following expression:v = (v2A2 - x)*1/2

An object undergoes simple harmonic motion of amplitude Aand angular frequency v about the equilibrium point x = 0. Useenergy conservation to show that the speed of the object at thegeneral position x is given by the following expression:v = (v2A2 - x)*1/2

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Question

An object undergoes simple harmonic motion of amplitude A
and angular frequency v about the equilibrium point x = 0. Use
energy conservation to show that the speed of the object at the
general position x is given by the following expression:
v = (v2A2 - x)*1/2

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

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