Q. 94.0( 1 Vote )

Derive an expression for 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 center.

Answer :

Here, the mass of the rod is and the length is .

Let us take an element of length dx at a distance x from the center of the rod.

Mass of the element is

The element is at a distance d from the rod.

The horizontal components cancel out and the field is in the negative y direction given by


We know,


Substituting (2) in (1)

Which gives us

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Getting the basics of Gravitation51 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses