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A mass m is at a distance a from one end...

A mass m is at a distance a from one end of a uniform rod of length l and mass M. Find the gravitational force on the mass due to tke rod.

Text Solution

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The correct Answer is:
A, D
`dF=(G(dM)m)/(x^2)=(G((M)/(l)*dx)m)/(x^2)`

`:.F =int_(x=a)^(x=(a+l)) dF =(GMm)/(a(l+a)`
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Knowledge Check

  • A point mass is placed at a distance a from one end of a rod of mass M and length l on the line which passes through the central axis of the rod. The potential energy of the system.

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  • In a street light of mass M is suspended from the end of a uniform rod of length L in different possible patterns as shown in figure, then :

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