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Question: ABCD is a smooth horizontal fixed plane on which mass m<sub>1</sub> = 0.1 kg is moving in a circular...

ABCD is a smooth horizontal fixed plane on which mass m1 = 0.1 kg is moving in a circular path of radius 1 m. It is connected by an ideal string which is passing through a smooth hole and connects mass m2 =12\frac{1}{\sqrt{2}}kg at the other end as shown. m2 also moves in a horizontal circle of same radius of 1 m with a speed of 10\sqrt{10}m/s. If g = 10 m/s2, then the speed of m1 is –

A

10\sqrt{10}m/s

B

10 m/s

C

110\frac{1}{\sqrt{10}}m/s

D

None of these

Answer

10 m/s

Explanation

Solution

T = m2g2+(v22r)2\sqrt{g^{2} + \left( \frac{v_{2}^{2}}{r} \right)^{2}} = m1v12r\frac{m_{1}v_{1}^{2}}{r}