. A uniform thin rod of mass M and length L is standing vertically along the y-axis on a smooth horizontal surface, with its lower end at the origin (0,

(a)        What is the path followed by the centre of mass of the rod during its fall?

             (b)   Find the equation of the trajectory of a point on the rod located at a distance r from the lower end. What is the shape of the path of this point?

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