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PhysicsRotationTranslational + RotationalMedium2 minPYQ_2021
PhysicsMediumnumerical

The following bodies,
1 a ring
2 a disc
3 a solid cylinder
4 a solid sphere,

of same mass m and radius R are allowed to roll down without slipping simultaneously from the top of the inclined plane. The body which will reach first at the bottom of the inclined plane is

[Mark the body as per their respective numbering given in the question]

Question diagram: The following bodies, 1 a ring 2 a disc 3 a solid cylinder 4
Answer:
4.00
Solution:

MgsinθR=mk2+mR2α

α=Rgsinθk2+R2a=gsinθ1+k2R2

t=2 sa=2 s gsinθ1+k2R2

for least time, k should be least and we know k, is least for the solid sphere.

Stream:JEESubject:PhysicsTopic:RotationSubtopic:Translational + Rotational
2mℹ️ Source: PYQ_2021

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