Question

If an object on a horizontal frictionless surface is attached to a spring, displaced, and then released, it will oscillate. If it is displaced a distance 0.126 mm from its equilibrium position and released with zero initial speed. Then after a time 0.791 ss its displacement is found to be a distance 0.126 mm on the opposite side, and it has passed the equilibrium position once during this interval.

Find the amplitude.

Find the period.

Find the frequency.

Answer 1

Amplitude ( maximum displacemment ) = 0.126 mm

Time Period ( time to return back to initial position ) = 2 X 0.791 = 1.582 s

Frequency, f = 1/T = 1/1.582 = 0.632 Hz