A particle, P, of mass 3 kg is attached to two light, inextensible strings. One string is

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A particle, P, of mass 3 kg is attached to two light, inextensible strings. One string is attached at its other end to a point, A. The other string has its other end attached to a point, B. A is 4m above B. The particle makes horizontal circles such that angle PAB is 30° and angle PBA is 60°. Given that the speed of the particle is 3.6 ms-1, find the tension in each string.

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