Two bodies with the same mass, m, are connected with a massless rope through a small hole in asmooth horizontal plane. One body is moving on the plane, the other one is hanging at the end of therope and can move vertically. At all instances the rope is tight. The acceleration due to gravity is g.a) Find the Lagrange’s equations of motion in polar coordinates (r; ) and explain their physicalmeaning. Discuss special cases.b) Reduce the equations of motion to a one dimensional problem in r with an effective potentialand discuss the motion