Aweight is attached to a spring suspended vertically from a ceiling. when a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ?

Explanation:

This is a simple harmonic motion, produced by the action of a driving force that is directly proportional to the position of the body. Its position is described as a function of time by a sinusoidal function. According to Newton's second law and Hooke's law:

Here m is the object's mass, k is the spring constant and x is the displacement from the equilibrium position.

With , called natural frequency, A is the amplitude, that is the maximum displacement for the equilibrium position and is the initial phase.

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