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Consider the mass from the spring in the figure. Let m=1, k=1, and g=9.81. Assume that x and y are zero when the 2 springs are unstretched. Assume the system starts from rest with the first spring extended by an amount equal to the weight of the mass and the second spring is unstretched.

Determine the equations of motion for x and y. Let F=(alpha)*t and solve for x(t) and y(t) for various values of alpha. Plot the force in the spring vs. time for different values of alpha.

Hint: the force in the top spring is kx, and the force in the bottom spring is k(y-x).

Thanks in advance for any of your input! I have no idea where to start.