Question

A mass of 0.5 kg oscillates on the end of a spring on a horizontal surface with negligible friction according to the equation x = Acos(ωt). The graph of F vs x for this motion is shown below.

The last data point corresponds to the maximum displacement of the mass. Determine the

(a) Angular frequency ω of the oscillation,

(b) Frequency f of oscillation,

(c) Amplitude of oscillation,

(d) Displacement from equilibrium position (x = 0) at a time of 2s.

Answer 1

 (a) When we looked at this graph

(b) 

(c) The amplitude corresponds to the last displacement on the graph, A = 1.2m .

(d)