Ler l be the moment of inertia of a uni...

Ler l be the moment of inertia of a uniform square plate about an axis AB that passes through its centre and is parallel to two of its sides. CD is a line in the plane of the plate that passes through the centre of the plate and makes an angle `theta` with AB. The moment of inertia of the plate about the axis CD is then equal to

`I`

`I sin^(2)theta`

`I cos^(2)theta`

`Icos^(2)((theta)/2)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

RIGID BODY MOTION
ANURAG MISHRA|Exercise MCQ_TYPE|41 Videos
RIGID BODY MOTION
ANURAG MISHRA|Exercise COMPREHENSION_TYPE|29 Videos
RIGID BODY MOTION
ANURAG MISHRA|Exercise MATCH THE COLUMN|12 Videos
IMPULSE AND MOMENTUM
ANURAG MISHRA|Exercise matching|3 Videos
UNIT AND DIMENSIONS
ANURAG MISHRA|Exercise Matching Type Problem|4 Videos

Similar Questions

Explore conceptually related problems

Let I be the moment of interia of a uniform square plate about an axis AB that passses through its centre and is parallel to two its sides. CD is a line in the plane of the plate that passes through the centre of the plate and makes an angle theta with AB . The moment of inertia of the plate about the axis CD is then equal to-

The moment of inertia of a copper disc, rotating about an axis passing through its centre and perpendicular to its plane

The moment of inertia of a sphere of radius R about an axis passing through its centre is proportional to-

What is the moment of inertia of a hollow sphere about an axis passing through its centre ?

The moment of inertia of uniform rectangular plate about an axis passing through its mid-point and parallel to its length l is (b = breadth of rectangular plate)

The moment of inertia of a square plate of mass 4kg and side 1m about an axis passing through its centre and perpendicular to its plane is

The moment of inertia of a uniform rod of length 2l and mass m about an axis xy passing through its centre and inclined at an angle alpha is

The moment of inertia of a thin square plate ABCD of uniform thickness about an axis passing through its center and perpendicular to its plane will

Find moment of inertia of a uniform rectangular plate about axis zz' passing through center and perpendicular to the plane of plate, as shown in Fig.

ANURAG MISHRA-RIGID BODY MOTION-SCQ_TYPE

ABC is a traiangular plate of uniform thickness. The sides are in the ...
Text Solution
|
A solid homogeneous sphere of mass M and radius R is moving on a rough...
Text Solution
|
Ler l be the moment of inertia of a uniform square plate about an axi...
Text Solution
|
Two uniform solid spheres having unequal rdii are released from rest f...
Text Solution
|
A particle of mass m=5 kg is moving with a uniform speed v=3 sqrt(2) i...
Text Solution
|
A sphere S rolls without slipping moving with a constant speed on a pl...
Text Solution
|
Three identical solid spheres move down three incline A, B and C are a...
Text Solution
|
A sphere is rotating about a diameter
Text Solution
|
A thin spherical shell of radius R lying on a rough horizontal surface...
Text Solution
|
Two moving particles P and Q are 10cm apart at any instant. Velocity ...
Text Solution
|
A uniform rod of mass m and length l(0) is rotating with a constant an...
Text Solution
|
A sphere can roll on a surface inclined at an angle theta if the frict...
Text Solution
|
What is the moment of inertia of a triangular plate ABC of mass M and ...
Text Solution
|
A rolling body is kept on a plank B. There is sufficient friction bet...
Text Solution
|
Three identical rods, each of length L, are joined to form a rigid equ...
Text Solution
|
A sphere cannot roll on
Text Solution
|
Figure shows smooth inclined plane fixed in a car acceleratiing on a ...
Text Solution
|
A uniform rod is kept vertically on a horizontally smooth surface at ...
Text Solution
|
A uniform rod of length l and mass M is suspended on two vertical inex...
Text Solution
|
A equilaterial triangle ABC formed from a uniform wire has two small i...
Text Solution
|