All Problems Universal Gravitation
Problem 1.206
Find the potential energy of the gravitational interaction (a) of two mass points of masses \(m_{1}\) and \(m_{2}\) located at a distance \(r\) from each other; (b) of a mass point of 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; also find the force of their interaction.
1.206. (a) \(U=-\gamma m_{1} m_{2} / r\) (b) \(U=-\gamma(m M / l) \ln (1+l / a)\) \(F=\gamma m M / a(a+l)\)