1.

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\[\mu =A+B{{x}^{2}}\].                                              

A. \[Gm\left[ \frac{A}{a}+BL \right]\]
B. \[Gm\left[ A\left( \frac{1}{a}-\frac{1}{a+L} \right)+BL \right]\]
C. \[Gm\left[ BL+\frac{A}{a+L} \right]\]
D. \[Gm\left[ BL+\frac{A}{a} \right]\]
Answer» C. \[Gm\left[ BL+\frac{A}{a+L} \right]\]


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