A thin circular plate of mass M and radius R has its a density varying as 
(r) =
r with 
as constant and r is the distance from its center. The moment of inertia of the circular plate about an axis perpendicular to the plate and passing through its edge is
I = a M
. The value of the coefficient a is
(a)
(b)
(c)
(d)
A thin circular plate of mass M and radius R has its a density varying as (r) = r with as constant and r is the distance from its center. The moment of inertia of the circular plate about an axis perpendicular to the plate and passing through its edge is
I = a M . The value of the coefficient a is
(a)
(b)
(c)
(d)
Question ID - 51153 | SaraNextGen Top Answer
A thin circular plate of mass M and radius R has its a density varying as (r) = r with as constant and r is the distance from its center. The moment of inertia of the circular plate about an axis perpendicular to the plate and passing through its edge is
I = a M . The value of the coefficient a is
(a)
(b)
(c)
(d)
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A thin circular plate of mass M and radius R has its a density varying as I = a M |
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|
(a) |
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(b) |
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(c) |
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(d) |
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1 Answer
127 votes
Answer Key / Explanation : (d) -
M=
r
2
rdr=
=
r
2
rdr
r2 =
∴ I=
+MR 2=2
=
= 
R2=
2
127 votes
Answer Link
127