SHM horizontal spring mass system

AI Thread Summary
In a discussion about a horizontal spring-mass system, the user seeks help with three key questions regarding the motion of a mass attached to a spring. For part a, they need to determine the maximum speed as the mass passes the equilibrium position, with a suggestion to use conservation of energy to derive the equation. In part b, the net force at position x=A is confirmed to be F=-kA. The user also expresses uncertainty about calculating the speed at x=A/4, indicating that understanding part a will aid in solving this. Overall, the thread emphasizes the application of energy conservation and force equations in analyzing spring-mass systems.
bionerdette
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This problem states that a mass m is attatched to a spring with spring constant k and is pulled aside a distance A from its equilibrium position x=0.

a) what is the speed as it passes the position x=0?
I know that at A and -A v=0 and at x=0 v=max, but I can't remember how to get an equation for what that max is!

b)what is the net force on the mass at position x=A?
would this be F=-kA?

c)what is the speed when x=A/4?
i don't have any idea how to do this, but i think once i get part a i will understand

any help would be greatly appreciated!
 
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Hi bionerdette and welcome to PF,

For future reference, we have Homework forums for such questions, but don't worry you thread will be moved there soon. With regards to your question,
bionerdette said:
a) what is the speed as it passes the position x=0?
I know that at A and -A v=0 and at x=0 v=max, but I can't remember how to get an equation for what that max is!
I would consider conservation of energy.
bionerdette said:
b)what is the net force on the mass at position x=A?
would this be F=-kA?
Indeed it would :smile:
 
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