The displacement range of m 1 is -0.4 to 0.4, so the equilibrium position is y = 0;;
The displacement range of m2 is -0.5 to 0.5, so the equilibrium position is also y = 0;;
The intersection of all straight lines in the image with y=0.0 is the position where the object passes through the balance.
As can be seen from the figure, the vibration period of m 1 is 5 seconds, and that of m2 is 7 seconds.
According to T=2π√(m/k), k 1 and k2 can be calculated.
M 1 vibration equation: y = 0.4 inch (2π/5t+π/5)
M2 vibration equation: y=0.5sin(2π/7t-π/2)