2.
Uniform circular disc of
mass M and radius R
(i) about an axis passing through centre
and perpendicular to its plane
1
2
MR^2 R
2
(ii) about a diameter
1
4
MR^2
R/ 2
(iii) about a tangent in its own plane
5
4
MR^25
2
R
(iv) about a tangent perpendicular to its
own plane
3
2
MR^23
2
R
3.
Solid sphere of radius R
and mass M
(i) about its diameter
2
5
MR^22
5
R
(ii) about a tangential axis
7
5
MR^27
5
R
4.
Hollow sphere of radius R
and mass M
(i) about its diameter
2
3
MR^22
3
R
(ii) about a tangential axis
5
3
MR^25
3
R
5.
Solid cylinder of length l,
radius R and mass M
(i) about its own axis
1
2
MR^2 R
2
(ii) about an axis passing through centre
of mass and perpendicular to its own axis M
lR^22
12 4
+
lR^22
12 4
+
(iii) about the diameter of one of the faces
of cylinder M
lR^22
34
+
lR^22
34
+
- Hollow cylinder of mass
M and radius R
(i) about its own axis MR^2 R
(ii) about an axis passing through its
centre of mass and perpendicular to its
own axis
M
Rl^22
212
+
Rl^22
212
+
- in rod of length L
(i) about an axis through centre of mass
and perpendicular to the rod
ML^2
12
L
12
(ii) about an axis through one end and
perpendicular to rod
ML^2
3
L
3
- Rectangular lamina of
length l and breadth b
about an axis passing through its centre of
mass and perpendicular to plane M
lb^22
12
+
lb^22
12
+
9.
Uniform cone of radius R
and height h
about an axis through its centre of mass
and joining its vertex to centre of base
3
10
MR^2
R
3
10
10.
Parallelopiped of length
l, breadth b and height h,
mass M
about its central axis M lb
22
12
+
lb^22
12
+
