Home
Class 12
PHYSICS
In the figure shown ABCD is a lamina of ...

In the figure shown ABCD is a lamina of mass `12 kg`. The moment of inertia of the given body about an axis passing through D, and perpendicular to the plane of the body is

A

`256 kg m^(2)`

B

`512 kg m^(2)`

C

`200 kg m^(2)`

D

`100 kg m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B

Portion DEA and DFC are identical hence moment of inertia of ABCD is same as ABFDEA

`l =2.(Mxx(BE)^(2))/(3)`
`=512 kgm^(2)`
Promotional Banner

Similar Questions

Explore conceptually related problems

In the given figure F=10N, R=1m , mass of the body is 2kg and moment of inertia of the body about an axis passing through O and perpendicular to the plane of the body is 4kgm^(2) . O is the centre of mass of the body. If the ground is smooth, what is the total kinetic energy of the body after 2s ?

In the given figure F=10N, R=1m , mass of the body is 2kg and moment of inertia of the body about an axis passing through O and perpendicular to the plane of the body is 4kgm^(2) . O is the centre of mass of the body. If the ground is sufficiently rough to ensure rolling, what is the kinetic energy of the body now in the given time interval of 2s ?

A uniform rod of mass m is bent into the form of a semicircle of radius R. The moment of inertia of the rod about an axis passing through A and perpendicular to the plane of the paper is

A uniform rod of mass m is bent into the form of a semicircle of radius R. The moment of inertia of the rod about an axis passing through A and perpendicular to the plane of the paper is

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

Moment of inertia of a ring of mass M and radius R about an axis passing through the centre and perpendicular to the plane is

A thin rod of length 4l, mass 4 m is bent at the point as shown in the figure. What is the moment of inertia of the rod about the axis passing through O and perpendicular to the plane of the paper?

A thin rod of length 4l, mass 4 m is bent at the point as shown in the figure. What is the moment of inertia of the rod about the axis passing through O and perpendicular to the plane of the paper?

A disc has mass 9 m. A hole of radius R/3 is cut from it as shown in the figure. The moment of inertia of remaining part about an axis passing through the centre 'O' of the disc and perpendicular to the plane of the disc is :

Moment of inertia of a straight wire about an axis perpendicular to the wire passing through one of its end is I. This wire is now framed into a circle (a ring) of single turn. The moment of inertia of this ring about an axis passing through centre and perpendicular to its plane would be