1.

Three bodies a ring (R ) , a solid cylinder (C ) and a solid sphere (S ) having same mass and same radius roll down the inclined plane without slipping . They start from rest , if V_(R),V_(C) ans V_(S) are velocities of respective bodies on reaching the bottom of the plane then

Answer»

`v_(R )=v_(C )=v_(S)`
`v_(R)gtv_(C)gtv_(S)`
`v_(R)ltv_(C)ltv_(S)`
`v_(R)=v_(C)gtv_(S)`

SOLUTION :`mgh=(1)/(2)mv^(2)+(1)/(2)IOMEGA^(2)`
`mgh=(1)/(2)mv^(2)+(1)/(2)I(v^(2))/(R^(2))=(1)/(2)v^(2)(m+(I)/(R^(2)))`
`v=sqrt((2mgh)/((m+(I)/(R^(2)))))IMPLIES` moreI, LESS v
`implies v_(R)ltv_(C)ltv_(S)`


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