Homework Statement
Given: |r|=√(x^2+y^2+z^2) r=xi+yj+zk
(i)Find the partial derivative with respect to x of |r|.
(ii) Find the Laplacian of |r|.
Homework EquationsThe Attempt at a Solution
For (i) I got x/|r|
but then for (ii) I got 2/r which I don't think is correct
Okay so if I am looking at s the mass would be ∫(ρ)∫(θ) η/√(x^2+s^2) dΘdρ ?
And then just split it up and integrate? Also would the bounds be (0,L) for ρ and (0, 2π) for Θ?
Am I on the right track?
Homework Statement
I am having a hard time understanding where to begin with this problem. Here it is:
Consider a thin rod of length L and constant density n that lies on the x-axis with endpoints at x=0 and x=L.
(i) Find a formula for the gravitational potential Φ = Φ(x) at the (variable)...