Solve

Guides

0

Question

- F=GMm(h+L)2
- F=GMmh2
- F=GMmh(h+L)
- F=GMmL2

Open in App

Solution

Verified by Toppr

Mass of this small element is dM=MLdx,

Distance of this small element from mass m is x+h

Force on m due to this small element is dF=GmdM(x+h)2

To get the total force F on the mass m, we integrate dF from x=0 to x=L

F=∫x=Lx=0GmMLdx(x+h)2=−GmML(1(L+h)−1h)=GMmh(L+h)

So, the force on m due to homogeneous bas is =GMmh(L+h).

Was this answer helpful?

5