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.

4 Answers

23
qwerty ·

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

1
Vinay Arya ·

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?

23
qwerty ·

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=μN1, f2=μN2=μf1

so μmg = f1(1+μ2)

and (f1+f2)Rθ = 1/2 I w2

then no of rotations = theta /2pi

u will get ans = Rw2(1+μ28pigμ(1+μ)

1
Vinay Arya ·

Thank you very much.

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