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Aveek Biswas Grade: 12
        A sphere is pushed on a horizontal surface suffirough for pure rolling such aftermoving a little dist. it mounts on an inclined plane. It rises to a height h1 and h2 if the inclined plane is frictionless or suffi rough respectively.Then - 1)h1>h2 2)h1

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points

Dear Aveek

let the initial velocity of sphere is U

case 1 :  sphere is rolling

 acceleration along the inclind plane a= gsinθ/[1+ I/mr2]

I = 2/5 mr2

so a = 5/7 gsinθ

 now equation  V2 =U2- 2aS


 so  h2 =S sinθ = 0.7 U2/2g

 case 2:  sphere is not rolling

  a =gsinθ

and h1=Ssinθ = 0.5U2/2g

h2 > h1

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7 years ago
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