What is the gravitational field due to a uniform rod of length $L$ and mass $M$ at a point on its pe

Question

What is the gravitational field due to a uniform rod of length $L$ and mass $M$ at a point on its perpendicular bisector at a distance $d$ from the centre?

Professor PC Thomas Classes · Answer

The gravitational field at a perpendicular distance $d$ from the center of a rod of length $L$ is given by $E = \frac{2GM}{d\sqrt{L^2+4d^2}}$ directed towards the center.