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Two identical balls \( \mathrm{A} \) and \( \mathrm{B} \), each of mass \( 0.1 \mathrm{~kg} \), are attached to two identical mass less springs. The spring-mass system is constrained to move inside a rigid smooth pipe bent in the form of a circle as shown in the figure. The pipe is fixed in a horizontal plane. The centres of the balls can move in a circle of radius \( 0.06 \mathrm{~m} \). Each spring has a natural length of \( 0.06 \pi \) metre and spring constant \( 0.1 \mathrm{~N} / \mathrm{m} \). Initially, both the balls are displaced by an angle \( \theta=\pi / 6 \) radian with respect to the diameter PQ of the circle (as shown in fig.) and released from rest.
(i) Calculate the frequency of oscillation of ball B.
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