Suppose that an object with mass 3 kg is attached to a damped spring with spring constant 4 kg/sec^2 and damping force equal to 2.5 times the object's velocity. The object is initially at rest in the equilibrium position. After one second, the object experiences an applied external force of 2 kg-m/sec^2 for 1 second. I have to use mathematica to to find the position of the object at any time t > 0. Then I'm supposed to plot the applied force and the solution (called the response to the force) on the same graph.
I'm new to mathematica and need some help with this. What I got so far (not in mathematica code yet) is: 3y''(t) + 2.5y'(t) + 4y(t) = 0. Is this the right differential equation and how do I put it in mathematica?
I'm new to mathematica and need some help with this. What I got so far (not in mathematica code yet) is: 3y''(t) + 2.5y'(t) + 4y(t) = 0. Is this the right differential equation and how do I put it in mathematica?