If I need to find the work in lifting a chain and I am given linear mass density, how would I go about it? I am used to being given simply the density.
I have a feeling I would need to integrate the linear mass density to find *just* the mass? And then integrate just 'y' with limits to account for how high I would be lifting a chain off the ground multiplied by mass*acceleration due to gravity? But I'm not sure. If someone could help explain what linear mass density is and how I would use it to solve for the the work in lifting the chain? Hopefully I'm on the correct track?
Sorry it's vague, I don't want the problem solved for me so I left it out. I am hoping someone could simply help in explaining linear mass density and give me an idea as to if I am headed in the right direction?