A "semi-infinite" uniform rod occupies the nonnegative x-axis. The rod has a linear density 8, which means that a segment of length dx has a mass of 8 dx. A particle of mass M is located at the point (-a, 0). The gravitational force F that the rod exerts on the mass is given by

where G is the gravitational constant. Find F.

Transcribed Image Text:

F = So 0 GM8 (a + x)² dx