Calculate the gravitational potential energy of a point mass m0 and a uniform thin rod of mass m and length L. m0 is at a distance a from one end of the rod on the axis line of the rod as shown in figure.

Q: Calculate the gravitational potential energy of a point mass m0 and a uniform thin rod of mass m and length L . m0 is at a distance a from one end of the rod on the axis line of the rod as shown in figure.

Numerical

(a) $-\frac{G m m_0}{L} ln(\frac{a+L}{2a})$

(b) $-\frac{G m m_0}{L} ln(\frac{a+L}{a})$

(c) $-\frac{G m m_0}{\sqrt{2}L} ln(\frac{a+L}{a})$

(d) $-\frac{G m m_0}{2L} ln(\frac{a+L}{a})$

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Ans: (b)