A ring of radius \( R=4 \mathrm{~m} \) is made of a highly dense ma...

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A ring of radius \( R=4 \mathrm{~m} \) is made of a highly dense material.
\( \mathrm{P} \)
Mass of the ring is \( m_{1}=5.4 \times 10^{9} \mathrm{~kg} \) distributed uniformly over
W its circumference. Ahighly dense particle of mass \( m_{2}=6 \times 10^{8} \mathrm{~kg} \) is placed on the axis of the ring at a distance \( x_{0}=3 \mathrm{~m} \) from the centre. Neglecting all other forces, except mutual gravitational interaction of the two, calculate
(a) Displacement of the ring when particle is closest to it.
(b) Speed of the particle at that instant.
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