Ask questions and get helpful responses.


a 50 m long chain hangs vertically from a cylinder attached to a winch. assume there is no friction in the system and that the chain has a density of 5 kg/m. how much work is required to wind the entire chain onto the cylinder using the winch

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. Calculus question:
    Let x=length remaining below winch.
    ρ=mass density
    Work done winding up a length of dx
    is equivalent to bringing the length dx up by a distance of x, i.e.
    dW=ρg xdx
    W=ρg∫xdx from 0 to L
    =ρg L²/2

    Physics question:
    Centroid of chain, X = -L/2
    mass of chain, M = ρL
    Total work done

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Still need help? You can ask a new question.