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Find the gravitational force of interact...

Find the gravitational force of interaction between the mass m and an infinite rod of varying mass density `lambda` such that `lambda(x)=(k)/(x)`, where x is the distance from mass m. Given that mass m is placed at a distance d from the of the rod on its axis as shown in figure. If force is `(Gmk)/(nd^(2))` Fill n in OMR sheet.

Text Solution

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`(Gm lambda)/(2d^(2))`
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Knowledge Check

  • The gravitational force of attraction between a uniform sphere of mass M and a uniform rod of length l and mass in as shown in figure is

    A
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    D
    zero

  • A mass m is placed in the cavity inside hollow sphere of mass M as shown in the figure. The gravitational force on m is

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    `(GMm)/(R^(2))`
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    `(GMm)/(r^(2))`
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