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Two particles of mass 'm' each are conne...

Two particles of mass 'm' each are connected by a light string of length 2a as shown in figure. The arrangement lies on a smooth horizontal plane. A constant force 'F' acts at C as shown

The acceleration of 'm' at right angles to F is given by `a = F/(rm)(x/(sqrt(a^2-x^2)))` , where 2x is the distance between them at any instant then value of r is

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