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A uniform circular disk of radius R and mass M is rotating with angular speed w about an axis, passing through its center and inclined at an angle 60 degrees with respect to its symmetry axis. The magnitude of the angular momentum of the disk is,

๐Ÿ—“ Oct 14, 2024

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3 votes
Anonymous ๐ŸŒ Kerala
L =I(X)w+I(Y)w+I(Z)w
Magnintude of L =sq.root (I(X)w)^2+(I(Y)w)^2+(I(Z)w)^2)
I(X) =MR^2/4=I(Y)
I(Z)=MR^2/2
W(x)=wsin60ยฐ
W(y) =0
W(z)=wcos60ยฐ
When we apply these values in formula
We get after simplification
Sq. Root(((M^2ร—R^4ร—w^2)/16))ร—(3/4 +1))
= (MR^2w/4)(sq.root 7/2)
=(Root 7 MR^2w)/8
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Anonymous ๐ŸŒ India
Wrong Answer
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