Two identical balls (A) and (B) each of mass (0.1 kg), are attached to two identical massless
Channel: Doubtnut
Date: 2020-07-05

Two identical balls (A) and (B) each of mass (0.1 kg), are attached to two identical massless springs. The spring - mass system is constrained to move inside a riged smooth pipe bant in the form of a circle as shown in Fig. The pipe is fixed in a horizontal plane.   The centres of the balls can move in a circle of radius (0.06 pi) meter. Each spring has a natural length `zof0.06 pi` meter and spring spring constant5 `0.1 N//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).   (ii) Find the speed of ball (A) when (A) and (B) are at the two ends of the diameter (PQ).  (iii) What is the total energy of the system.