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Homework Statement
Homework Equations
The Attempt at a Solution
any help would be appreciated!!! I keep trying and just keep getting stuck really early on.
I suppose you mean Equation 1?I don't understand where the first differential comes from
And how would you apply ΣF = ma to the problem with the mass and spring?yes force= mass*acceleration
Well, what forces are acting on the mass? If you assume the mass is at rest at point O, and you move it x-distance to the right, what happens to the spring? What does the displacement of the spring do to the mass?that's where I get stuck
the spring is stretched so will want to go back to its original placeWell, what forces are acting on the mass? If you assume the mass is at rest at point O, and you move it x-distance to the right, what happens to the spring? What does the displacement of the spring do to the mass?
Yes, but what does the tendency of the spring to unstretch itself do to the mass? What does it take to stretch the spring in the first place?the spring is stretched so will want to go back to its original place
it has to be stretched by something and to go back to its original it passes and oscillatesYes, but what does the tendency of the spring to unstretch itself do to the mass? What does it take to stretch the spring in the first place?
What is this something? Do you know about Hooke's Law?it has to be stretched by something and to go back to its original it passes and oscillates
yeah F=-kX
In your problem, you move the mass a distance x. What does that create in the spring? Make the mass a free body and label all the forces acting on it.yeah F=-kX
First thing's first: you need to draw a good free body diagram. Label all the forces acting on the mass and their directions. The sum of these forces will be equal to the mass * the acceleration of the body (remember ##a(t) = \ddot{x}(t)##) , and the required DE will fall out pretty quickly from this.that's where I get stuck