The position a mass oscillating on a spring can be expressed as:

$\overline{)\begin{array}{rcl}\mathbf{x}\mathbf{\left(}\mathbf{t}\mathbf{\right)}& {\mathbf{=}}& \mathbf{A}\mathbf{c}\mathbf{o}\mathbf{s}\mathbf{\left(}\frac{\mathbf{2}\mathbf{\pi}}{\mathbf{T}}\mathbf{t}\mathbf{\right)}\\ & {\mathbf{=}}& \mathbf{A}\mathbf{c}\mathbf{o}\mathbf{s}\mathbf{\left(}\mathbf{\omega}\mathbf{t}\mathbf{\right)}\end{array}}$

Frequency, f = 1/T

The position of a mass oscillating on a spring is given by *x *= (6.2 cm)cos[2π*t*/(0.79s)]. What is the frequency of this motion? When is the mass first at the position *x *= − 6.2cm?

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