Answer:
Explanation:
1. Find spring constant k. From a free body diagram, you will get the forces on the 10 kg mass, with a displacement d. It will be gravity pulling the mass down and the spring force pulling the mass up. The 10 kg mass is in equilibrium. The resulting equation will be:

2. Use the result from 1. to find the equations of motion. In general they are given by:
, where ω is:
To find the amplitude A and the phase angle Ф, use the given initial conditions:
m₂ = 2 kg, x(0) = -0.25 m, v(0) = 2m/s

Solving for Ф:

Solving for A:

The equation for x(t) is now:

The frequency f is given by:
The period T is given by: