A stone, of mass m, is attached to a strong string and whirled in a vertical cir

Question

A stone, of mass m, is attached to a strong string and whirled in a vertical circle of
radius r. At the exact top of the path the tension in the string is 3 times the stone’s
weight. The stone’s speed at this point is given by

a) 2 vgr b) vgr c) v2gr d) 4gr A stone, of mass m, is attached to a strong string and whirled in a vertical circle of
radius r. At the exact top of the path the tension in the string is 3 times the stone’s
weight. The stone’s speed at this point is given by

a) 2 vgr b) vgr c) v2gr d) 4gr

Explanation / Answer

At the top of the verticle circle                   T + mg = mv^2/r Given T = 3 mg So             3 mg + mg = mv^2/r                           4 mg = mv^2/r                             v^2 = 4 rg                                 v = 2 vgr Option (a) is correct

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