Rotation

JEE Mains 2015 Papers › Mechanics questions › Rotation

A uniform cylinder of radius R is spinning about its axis to an angular velocity w₀ and then placed in a corner.The coefficient of friction beween the orner walls and the cylinder is k.How many turns will the cylinder accomplish before it stops.

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qwerty ·2011-02-04 00:27:04

Rw(1+k²)4Ï€g k(1+k)?????????????????????

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Vinay Arya ·2011-02-04 03:35:06

Dear Account Blocked
It should be w raise to the power 2.And 8 in the denominator.Rest is absolutely correct.And would you like to show me your working?

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qwerty ·2011-02-04 04:15:12

oh yeah ! sorry for that error !! ( i wrote energy as Iw lol )

let normal and friction due to horizontal surface be denoted by 1 and due to vertical surface be denoted by 2

mg = N1+f2

N2=f1

f1=Î¼N1, f2=Î¼N2=Î¼f1

so Î¼mg = f1(1+Î¼²)

and (f1+f2)RÎ¸ = 1/2 I w²

then no of rotations = theta /2pi

u will get ans = Rw²(1+Î¼²8pigÎ¼(1+Î¼)

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Vinay Arya ·2011-02-04 04:43:37

Thank you very much.

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