Physics-
For the given uniform square lamina
, whose centre is 

Physics-General
Answer:The correct answer is:
Let the each side of square lamina is
.
So,
(due to symmetry)
And
(due to symmetry)
Now, according to theorem of perpendicular axis,


(i)
and 
(ii)
From Eqs. (i) and (ii), we get



So, 
Book A Free Demo

Grade*
Select Grade
Related Questions to study
physics-
Four balls each of radius 10 cm and mass 1 kg, 2kg, 3 kg and 4 kg are attached to the periphery of massless plate of radius 1 m. What is moment of inertia of the system about the centre of plate?

Moment of inertia of the system about the centre of plane is given by






Four balls each of radius 10 cm and mass 1 kg, 2kg, 3 kg and 4 kg are attached to the periphery of massless plate of radius 1 m. What is moment of inertia of the system about the centre of plate?

physics-General
Moment of inertia of the system about the centre of plane is given by






physics-
A
joint is formed by two identical rods
and
each of mass
and length
in the
plane as shown. Its moment of inertia about axis coinciding with
is

A
joint is formed by two identical rods
and
each of mass
and length
in the
plane as shown. Its moment of inertia about axis coinciding with
is

physics-General
chemistry-
Which is correct about the change given below

Which is correct about the change given below

chemistry-General
chemistry-
Identify Z in the reaction 

Identify Z in the reaction 
chemistry-General

maths-
The area bounded by y=cos x, y=x+1 and y=0 in the second quadrant is

The area bounded by y=cos x, y=x+1 and y=0 in the second quadrant is

maths-General
maths-
Area of the region bounded by y=
and y=2 is

Area
sQ. units
Area of the region bounded by y=
and y=2 is

maths-General
Area
sQ. units
maths-
Area of the region bounded by y
is

Area of the region bounded by y
is

maths-General
maths-
The area of the region bounded by y=
and the x-axis is

The area of the region bounded by y=
and the x-axis is

maths-General
chemistry-
X and Y are respectively
X and Y are respectively
chemistry-General
physics-
A solid sphere of radius
has moment of inertia
about its geometrical axis. If it is melted into a disc of radius
and thickness
. If its moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to
, then the value of
is equal to

or
A solid sphere of radius
has moment of inertia
about its geometrical axis. If it is melted into a disc of radius
and thickness
. If its moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to
, then the value of
is equal to

physics-General
or
maths-
The area of the elliptic quadratic with the semi major axis and semi minor axis as 6 and 4 respectively


The area of the elliptic quadratic with the semi major axis and semi minor axis as 6 and 4 respectively

maths-General

maths-
The area of the region bounded by y=|x-1| and y=1 in sq. units is


The area of the region bounded by y=|x-1| and y=1 in sq. units is

maths-General

chemistry-
The product A is
The product A is
chemistry-General
physics-
A force of- F
acts on
, the origin of the coordinate system. The torque about the point 1, -(a) is


A force of- F
acts on
, the origin of the coordinate system. The torque about the point 1, -(a) is

physics-General

physics-
A binary star consists of two stars
(mass 2.2
) and B (mass 11
), where
is the mass of the sun. They are separated by distance
and are rotating about their centre of mass, which is stationary. The ratio of the total angular momentum of the binary star to the angular momentum of star
about the centre of mass is
A binary star consists of two stars
(mass 2.2
) and B (mass 11
), where
is the mass of the sun. They are separated by distance
and are rotating about their centre of mass, which is stationary. The ratio of the total angular momentum of the binary star to the angular momentum of star
about the centre of mass is
physics-General