Solve this: Q 3 Find the potential energy of the gravitational interaction of a point mass m and a - Physics - Gravitation

Question

Solve this:
Q 3 Find the potential energy of the gravitational interaction of a
point mass m and a thin uniform
rod of mass m and length l, If
they are located along a straight line at a distance a from each
other

Vijay Shankar Yadav · Accepted Answer

Dear Student,
Let a small mass element of rod is dm at x distance from closer end of rod from mass mthen potential energy of this small element and mass m isdU=-Gmdm(a-l/2+x)U=-Gm2l∫0ldx(a-l/2+x)U=-Gm2llna+l/2a-l/2
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Solve this: Q.3. Find the potential energy of the gravitational interaction of a point mass m and a thin uniform rod of mass m and length l, If they are located along a straight line at a distance a from each other.

Solve this:
Q.3. Find the potential energy of the gravitational interaction of a point mass m and a thin uniform rod of mass m and length l, If they are located along a straight line at a distance a from each other.