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Physics
Physics
Problem
A uniform thin rod AB of length
L
L
L
has linear mass density
μ
(
x
)
=
a
+
b
x
L
\mu(x) = a + \frac{bx}{L}
μ
(
x
)
=
a
+
L
b
x
, where
x
x
x
is measured from A. If the CM of the rod lies at a distance of
(
7
12
)
L
\left(\frac{7}{12}\right)L
(
12
7
)
L
from A, then
a
a
a
and
b
b
b
are related as : a.
a
=
2
b
a = 2b
a
=
2
b
b.
2
a
=
b
2a = b
2
a
=
b
c.
a
=
b
a = b
a
=
b
d.
3
a
=
2
b
3a = 2b
3
a
=
2
b
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