Question

If a 1 kg object on a horizontal, frictionless surface is attached to a spring, displaced, and then released, it will oscillate. If it is displaced 0.120 m from its equilibrium position and released with zero initial speed. After 0.8 s its displacement is found to be 0.120 m on the opposite side, and it has passed the equilibrium position once during this interval. Find the amplitude, the period, the frequency, the angular frequency and the spring constant.

Answer 1

1) So we can see that now as object is on frictionless table that means there is no resistance in motion and initially it displaced with 0.12 m so

Amplitude A= 0.12 m

and after released it found on opposite side after 0.8 sec

so that means Period of motion to half complete =0.8sec

so Time period T =2*0.8= 1.6sec

and frequency then f= 1/T = 1/1.6 = 0.625Hz

so angular frequancy

So spring constant