Gravitation Question 301

Question: A straight rod of length L extends from [x=a] to[x=L+a] . Find the gravitational force it exerts on a point mass m at x = 0 if the linear density of rod[μ=A+Bx2] .

Options:

A) [Gm[Aa+BL]]

B) [Gm[A(1a−1a+L)+BL]]

C) [Gm[BL+Aa+L]]

D) [Gm[BL+Aa]]

Show Answer

Answer:

Correct Answer: B

Solution:

  • [∵dF=GM(μdx)x2] [F=GM∫(A+Bx)dxx] [F=GM[A(1a−1a+L)+BL]]
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