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Motion of a point particle sliding on a turntable is studied. The equationsof motion are derived assuming that the table exerts frictional force on theparticle, which is of constant magnitude and directed opposite to the directionof motion of the particle relative to the turntable. After expressing theequations in terms of dimensionless variables, some of the general propertiesof the solutions are discussed. Approximate analytic solutions are found forthe cases in which (i) the particle is released from rest with respect to thelab frame and, (ii) the particle is released from rest with respect to theturntable. The equations are then solved numerically to get a more completeunderstanding of the motion. It is found that one can define an escape speedfor the particle which is the minimum speed required to get the particle tomove off to infinity. The escape speed is a function of the distance from thecenter of the turntable and for a given distance from the center, it depends onthe direction of initial velocity. A qualitative explanation of this behavioris given in terms of the fictitious forces. Numerical study also indicates analternative way for measuring the coefficient of friction between the particleand the turntable.

Particle sliding on a turntable in the presence of frictional forces