A small bead of mass m can slide on a frictionless fixed ring of radius r....

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A small bead of mass m can slide on a frictionless fixed ring of radius r. With the help of two identical strings of force constant k, the bead is connected to two nails A and B each on a diameter at a distance 0.5 r from centre O of the ring. Relaxed length of each string is negligible as compared to the radius of the ring. The bead is given a small velocity at point C. What can you predict about subsequent motion of the bead before any of the string strikes a nail? [ignore gravity] (A) (B) (C) (D) It will keep moving with its initial speed. It will oscillate simple harmonically about the point C. Its angular momentum about centre O of the ring is conserved. Total elastic potential energy stored in both the strings is 1.25kr. Be I I A small bead of mass m can slide on a frictionless fixed ring of radius r. With the help of two identical strings of force constant k, the bead is connected to two nails A and B each on a diameter at a distance 0.5 r from centre O of the ring. Relaxed length of each string is negligible as compared to the radius of the ring. The bead is given a small velocity at point C. What can you predict about subsequent motion of the bead before any of the string strikes a nail? [ignore gravity] (A) (B) (C) (D) It will keep moving with its initial speed. It will oscillate simple harmonically about the point C. Its angular momentum about centre O of the ring is conserved. Total elastic potential energy stored in both the strings is 1.25kr. Be I I A small bead of mass m can slide on a frictionless fixed ring of radius r. With the help of two identical strings of force constant k, the bead is connected to two nails A and B each on a diameter at a distance 0.5 r from centre O of the ring. Relaxed length of each string is negligible as compared to the radius of the ring. The bead is given a small velocity at point C. What can you predict about subsequent motion of the bead before any of the string strikes a nail? [ignore gravity] (A) (B) (C) (D) It will keep moving with its initial speed. It will oscillate simple harmonically about the point C. Its angular momentum about centre O of the ring is conserved. Total elastic potential energy stored in both the strings is 1.25kr. Be I I

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