Question

A spring having a spring constant of 1200 N/m.is mounted on a horizontal table. A mass of 3 kg is attached to the free end of the spring . The mass then pulled sideways to a distance of 2.0 cm and released. Determine the frequency of oscillation. Determine the maximum acceleration of mass and determine the maximum speed of the mass.

Answer 1

The frequency:

$$f=\frac1{2\pi}\sqrt{\frac km}=3.18\text{ Hz}.$$

The maximum acceleration:

$$a=\omega^2 A=(2\pi f)^2A=7.98\text{ m/s}^2.$$

The maximum velocity:

$$v=\omega A=2\pi fA=0.4\text{ m/s}.$$