Question

A 500 gram green ball on an air track is attached to a compressed spring (at x=0 the spring is unstretched). Determine the amplitude, frequency, period and spring constant (assume v=0 at the beginning and end of the animation). There is an animation that can be paused to give certain x and y values during a specific time. I know I can't attach the animation so I just want to know how I would find the amplitude, frequency etc for this problem.

Answer 1

MASS = 500 gm = 0.5 Kg

k*x = m*g

=> X = m*g / K = 0.5*9.8 / k

= 4.9 / k -----------------> AMPLITUDE

=> TIME PERIOD FOR A SPRING MASS SYSTEM IS GIVEN BY

hence T = 2PI * sqrt (0.5/k)

= 4.44 / sqrt(k)

Since f (frequency) = 1/T

=> f = 1/ T = sqrt(k)/ 4. 44