When a mass of m = 324 g is attached to a spring and the mass-spring system is set into oscillatory motion, the period of the motion is t = 0.507 s. determine the following.

(a) frequency of the motion in hertz hz

(b) force constant of the spring n/m

(c) amplitude of the oscillation, if the total energy of the oscillating system is 0.263 j

Explanation:

It is given that,

Mass of the object, m = 324 g = 0.324 kg

The period of motion, T = 0.507 s

(a) Let f is the frequency of the motion. It is given by :

f = 1.97 Hz

(b) In terms of force constant, the frequency of motion is given by :

k = 49.64 N/m

(c) The total energy of the oscillating system is given by :

A = 0.102 meters

Hence, this is the required solution.

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