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Byju's Answer
Standard XII
Physics
Rotational Work and Energy
The relation ...
Question
The relation between angular momentum and angular velocity is
A
¯
J
=
¯
r
×
¯
ω
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B
¯
J
=
¯
ω
×
¯
r
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C
¯
J
=
I
¯
ω
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D
¯
J
=
I
¯
ω
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Solution
The correct option is
B
¯
J
=
I
¯
ω
By definition the angular momentum
→
J
is defined as the product of moment of inertia
I
and the angular velocity
→
ω
.
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Similar questions
Q.
If
¯
r
×
¯
b
=
¯
c
×
¯
b
,
¯
r
⋅
¯
a
=
0
,
¯
a
=
2
¯
i
+
3
¯
j
−
¯
k
,
¯
b
=
3
¯
i
−
¯
j
+
¯
k
,
¯
c
=
¯
i
+
¯
j
+
3
¯
k
then
¯
r
=
Q.
A line passes through (3, -1, 2) and is perpendicular to
¯
r
=
¯
i
+
¯
j
−
¯
k
+
λ
(
2
¯
i
−
2
¯
j
+
¯
k
)
and
¯
r
=
2
¯
i
+
¯
j
−
3
¯
k
+
μ
(
¯
i
−
2
¯
j
+
2
¯
k
)
find the equation.
Q.
The equation of the line passing through
(
1
,
2
,
3
)
and parallel to the planes
¯
r
⋅
(
¯
i
−
¯
j
+
2
¯
k
)
=
5
and
¯
r
⋅
(
3
¯
i
+
¯
j
+
¯
k
)
=
6
is ?
Q.
If
¯
r
=
3
¯
i
+
2
¯
j
−
5
¯
k
,
¯
a
=
2
¯
i
−
¯
j
+
¯
k
,
¯
b
=
¯
i
+
3
¯
j
−
2
¯
k
and
¯
c
=
−
2
¯
i
+
¯
j
−
3
¯
k
such that
¯
r
=
λ
¯
a
+
μ
¯
b
+
δ
¯
c
then
μ
,
λ
2
,
δ
are in
Q.
The shortest distance between the lines
¯
r
=
3
¯
i
+
5
¯
j
+
7
¯
k
+
λ
(
¯
i
+
2
¯
j
+
¯
k
)
¯
r
=
−
¯
i
−
¯
j
+
¯
k
+
μ
(
7
¯
i
−
6
¯
j
+
¯
k
k
)
is ?
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