A ring has radius R and mass m1=m kg which is distributed uniformly over its circumference. A highly dense particle of mass, m2=2m kg is placed at rest on the axis of the ring at a distance x0=√3R from the centre. Neglecting all other forces, except mutual gravitational interaction between the ring and particle. Calculate the speed of the ring at the instant when the particle is at the centre of the ring.

A ring has radius R and mass m1=m kg which is distributed uniformly ov

1.	A ring has radius R and mass m1=m kg which is distributed uniformly over its circumference. A highly dense particle of mass, m2=2m kg is placed at rest on the axis of the ring at a distance x0=√3R from the centre. Neglecting all other forces, except mutual gravitational interaction between the ring and particle. Calculate the speed of the ring at the instant when the particle is at the centre of the ring.
Answer» A ring has radius $R$ and mass $m_{1} = m kg$ which is distributed uniformly over its circumference. A highly dense particle of mass, $m_{2} = 2 m kg$ is placed at rest on the axis of the ring at a distance $x_{0} = \sqrt{3} R$ from the centre. Neglecting all other forces, except mutual gravitational interaction between the ring and particle. Calculate the speed of the ring at the instant when the particle is at the centre of the ring.

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