JEE Main Physics question
A straight rod of length extends from to . Find the gravitational force it exerts on a point mass at if the linear density of the rod is .
Answer: (B)
Solution
An element at position has mass and contributes dF=\dfrac{Gm(A+Bx^2)}{x^2}dx=Gm\left(\dfrac{A}{x^2}+B\right)dx. Integrating from
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