Question

A mass of 1.79 kg is placed on a spring with spring constant of 280 N/m. After being pulled to its positive amplitude position and released, the resulting simple harmonic motion has a maximum velocity of 1.126 m/s.

(a) Calculate the angular frequency of the oscillation.   rad/s

(b) Calculate the minimum time elapsed for the mass to reach the 0.044 m position (distance from the equilibrium position).    s

(c) Calculate the velocity of the mass at the time found in part (b).    m/s

Answer 1

(a) Angular frequency will be

rad/s

(b) The amplitude of oscillation can be calculated as.

let the displacement can be represented as or .As the initial condition is not given hence we need to check for both the case. When represented as sin

when represented as cos then

Hence minimum time is 0.0408

(c) Velocity will be given as