1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Relation between slant height and height of a right circular cone
A #160;rod ...
Question
A
r
o
d
o
f
u
n
i
f
o
r
m
t
h
i
c
k
n
e
s
s
i
s
p
l
a
c
e
d
a
l
o
n
g
x
-
a
x
i
s
w
i
t
h
o
n
e
e
n
d
a
t
o
r
i
g
i
n
.
I
f
l
e
n
g
t
h
o
f
r
o
d
i
s
L
a
n
d
i
t
s
l
i
n
e
a
r
m
a
s
s
d
e
n
s
i
t
y
i
s
p
r
o
p
o
r
t
i
o
n
a
l
t
o
x
,
t
h
e
n
f
i
n
d
d
i
s
tan
c
e
o
f
i
t
s
c
e
n
t
r
e
o
f
m
a
s
s
f
r
o
m
o
r
i
g
i
n
.
Open in App
Solution
Dear Student
L
i
n
e
a
r
m
a
s
s
d
e
n
s
i
t
y
λ
=
k
x
w
h
e
r
e
k
i
s
t
h
e
c
o
n
s
tan
t
a
t
x
=
L
,
λ
=
M
L
k
=
M
L
2
l
e
t
d
m
i
s
t
h
e
s
m
a
l
l
m
a
s
s
e
l
e
m
e
n
t
a
t
d
i
s
tan
c
e
x
f
r
o
m
o
r
i
g
i
n
.
d
m
=
λ
x
=
M
L
2
x
d
x
D
i
s
tan
c
e
o
f
t
h
e
c
e
n
t
r
e
o
f
m
a
s
s
i
s
g
i
v
e
n
b
y
R
=
1
M
∫
x
d
m
R
=
1
M
∫
0
L
x
d
m
R
=
1
M
∫
0
L
x
M
L
2
x
d
x
R
=
L
3
\
Regards
Suggest Corrections
0
Similar questions
Q.
A non-uniform thin rod of length
L
is placed along
x
−
axis as such its one of ends at the origin. The linear mass density of rod is
λ
=
λ
0
x
. The distance of centre of mass of rod from the origin is:
Q.
A non-uniform thin rod of length
10
m
is placed along
x
- axis such that one of its ends is at the origin. The linear mass density of the rod varies with respect to distance from the end as
λ
=
l
0
x
, where
l
0
is a constant. Then the position of the centre of mass of the rod w.r.t the origin will be:
Q.
A uniform thin rod of length
10
m
is placed along
x
- axis such that one of its ends is at the origin. The linear mass density of the rod varies with respect to distance from the end as
λ
=
l
0
x
, where
l
0
is a constant. Then the position of the centre of mass of the rod w.r.t the origin will be:
Q.
A rod of length
L
is placed along the
x-axis
between
x
=
0
and
x
=
L
. The linear mass density
(
mass/length
)
ρ
of the rod varies with the distance
x
from the origin as
ρ
=
a
+
b
x
. Here,
a
and
b
are constants. Find the position of centre of mass of this rod.
Q.
A rod of length
L
is placed along the
x
−
axis between
x
=
0
and
x
=
L
. The linear density (mass/length)
λ
of the rod varies with the distance
x
from the origin as
λ
=
k
x
2
. Here
k
is a positive constant. Find the position of the centre of mass of this rod.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Surface Area of Solids
MATHEMATICS
Watch in App
Explore more
Relation between slant height and height of a right circular cone
Standard IX Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app