Posted by Sandhya on Thursday, December 11, 2008 at 4:19am.
Write the expression for the vertical and horizontal components of the gravoty force. It will require an integration along the length of the rod.
The vertical force component is
G*m*(M/L)*dx*(L/4)/[(L/4)^2 + x^2]^3/2
integrate that from x=0 to x = L
The messy looking denominator is the cube of the distance between mass m and dx. You need a cube instead of a square becasue you need to include a cosine term for the vertical component. For the horizontal force, you will have a different integral beasue you need a sine term.
Doing this with Riemann sums is rather messay and I will leave that you you or another teacher
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