A circular spring of natural length l is cut and welded with two beads of masses m1 and m2 such that the ratio of the lengths of the springs between the beads is 4:1. If the stiffness of the original spring is k, then find the angular frequency of oscillation of the beads in a smooth horizontal rigid tube.[Assume m1=m and m2=3m].

A circular spring of natural length l is cut and welded with two beads

1.	A circular spring of natural length l is cut and welded with two beads of masses m1 and m2 such that the ratio of the lengths of the springs between the beads is 4:1. If the stiffness of the original spring is k, then find the angular frequency of oscillation of the beads in a smooth horizontal rigid tube.[Assume m1=m and m2=3m].
Answer» A circular spring of natural length $l$ is cut and welded with two beads of masses $m_{1}$ and $m_{2}$ such that the ratio of the lengths of the springs between the beads is $4 : 1$ . If the stiffness of the original spring is $k$ , then find the angular frequency of oscillation of the beads in a smooth horizontal rigid tube. [Assume $m_{1} = m$ and $m_{2} = 3 m$ ].

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