Physics - Center of Mass Question with Solution | TestHub

PhysicsCenter of MassMomentum conservationMedium3 minQB
PhysicsMediumsingle choice
Passage / Comprehension

A small ball of mass 1 kg is kept in circular path of radius 1m in fixed concentric smooth horizontal ring of radius R. Angular speed of the ball in the circular motion is 1 rad/s. At a certain moment the string, which kept the ball in the circular path breaks and the ball goes off tangentially to the wall of rigid, fixed ring and bounces off elastically and again hits the ring and bounces off. After completing one round about the centre, the seventh collision takes place exactly at the position of the first collision.

Total impulse imparted to the ring by the ball in first three collision will be

Options:

Answer:
B
Solution:

Each chord is tangent to the inner circle; the half central angle satisfies. Collision 7 coincides with collision 1 after one full round:. Impulse per collision, directed radially inward at 0°, 60°, 120°. Vector sum Ns. Answer: (B)

Stream:JEESubject:PhysicsTopic:Center of MassSubtopic:Momentum conservation
⏱ 3mℹ️ Source: QB

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