Solving Mass Spring System with Horizontal Force Applied

[Billybobbean]

Hello PF users! This is my first post here, I'm looking for a bit of help with my mechanics assignment.

1. The question is asking me to investigate a mass with a spring and dampner attaching it to a vertical wall, and then it having a horizontal force applied to it.
The mass is 0.1kg
The springs stiffness is 0.6N/m
and there is a dampner with a damping constant of 0.5 Ns/m
At time=0 the mass is in its stationary equilibirum position when it has a force of 0.1sin(t) N applied to it (away from the wall, i.e. the spring will stretch)

2. I am then asked to find the second order differential equation that governs the subsequent motion, which is what I'm stuck on. When I say stuck on I mean don't really know where to start.

3. Sorry, I got nothing

Any help/pointers/explanations you can give would be helpful, at the moment I am completely stumped.

 

[Andrew Mason]

2. I am then asked to find the second order differential equation that governs the subsequent motion, which is what I'm stuck on. When I say stuck on I mean don't really know where to start.

Can you write out the equation of motion without the damping term? (hint: acceleration is the second derivative of position with respect to time). That is a second order differential equation. Then add the damping term.

AM

 

[Billybobbean]

cant make the forum code work ill draw it when i get home.