A small particle of mass m slides without friction in a spherical bowl of radius r.

(a) Show that the motion of the particle is the same as if it were attached to a string of length r.

(b) Figure shows a particle of mass m1 that is displaced a small distance s1 from the bottom of the bowl, where s1 is much smaller than r. A second particle of mass m2 is displaced in the opposite direction a distance s2 = 3s1, where s2 is also much smaller than r. If the particles are released at the same time, where do they meet?Explain.

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