Consider the solid enclosed by the cylinder x 2 − z 2 = a 2 and the planes y = b and y = c . where a > 0 and b < c are real numbers. The density of Q is given by ρ ( x , y , z ) = f ' ( y ) . where f is a differential function whose derivative is continuous on ( b, c). Show that if f ( b ) = f(c). then the moment of inertia about the xz -plane of Q is null.
Consider the solid enclosed by the cylinder x 2 − z 2 = a 2 and the planes y = b and y = c . where a > 0 and b < c are real numbers. The density of Q is given by ρ ( x , y , z ) = f ' ( y ) . where f is a differential function whose derivative is continuous on ( b, c). Show that if f ( b ) = f(c). then the moment of inertia about the xz -plane of Q is null.
Consider the solid enclosed by the cylinder
x
2
−
z
2
=
a
2
and the planes
y
=
b
and
y
=
c
. where
a
>
0
and b < c are real numbers. The density of Q is given by
ρ
(
x
,
y
,
z
)
=
f
'
(
y
)
. where f is a differential function whose derivative is continuous on (b, c). Show that if f(b) = f(c). then the moment of inertia about the xz-plane of Q is null.
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