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A mass of 0.12 kg is attached to a spring and set into oscillation on a...

A mass of 0.12 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by

x(t) = (0.42 m)cos[(14 rad/s)t].

Determine the following.

(a) amplitude of oscillation for the oscillating mass


(b) force constant for the spring


(c) position of the mass after it has been oscillating for one half a period


(d) position of the mass one-third of a period after it has been released
m

(e) time it takes the mass to get to the position

x = −0.10 m after it has been released

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