A particle P of mass m lies on a smooth horizontal table attached to a long string and inextensible thatpasses through a hole in its surface. The other end of the string supports a particle Q of dough km thathangs freely.When the particle P is at a distance a from the hole it projects from rest with a speed /Bag along thetable at a right angle with the rope. Show that the particle Q will begin to rise if k < 8 and that if themaximum distance between P and the hole is 2a, so k = 3. Find the tension in the string.T.* kmg8kmga 1+ kmgk²mgT%3D-k+1r3k+1Ans.

Let m denote the mass of the particle at point P, km denote the mass of the particle at point Q, a…

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