Question

A spring having spring constant 1200Nm^-1 is mounted on a horizontal table as shown in figure. A mass of 3 kg is attached to the free end of the spring. The mass is the pulled sideways to a distance of 2.0cm and released.

Determine

1. the frequency of oscillations,

2. maximum acceleration of the mass and

3. the maximum speed of the mass.

Answer 1

k = 1200Nm^-1, m = 3kg, a = 2.0cm = 2 × 10^-2m

1.

2. Maximum acceleration = ω² a = \(\frac{k}{m}\)a

3. Maximum speed = aω = a \(\sqrt{\frac{K}{m}}\)