Home
Class 12
PHYSICS
A circular disc of mass M and radius R i...

A circular disc of mass M and radius R is suspended from a nail in the wall. The nail is fixed very near to the rim of the disc. The moment of inertia of the disc about an axis along the nail is

A

`MR^(2)`

B

`(MR^(2))/(2)`

C

`(3)/(2)MR^(2)`

D

`(MR^(2))/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
The nail acts as an axis of rotation, which is tangential to the disc and perpendicular to its plane `(I=(3)/(2)MR^(2))` .
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ROTATIONAL MOTION

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP - 3|8 Videos

  • OSCILLATIONS

    MARVEL PUBLICATION|Exercise MCQ|368 Videos

  • SEMICONDUCTORS

    MARVEL PUBLICATION|Exercise MCQs|261 Videos

Similar Questions

Explore conceptually related problems

A circular disc is of mass M and radius r. From it a circualr piece is cut out with a radius of the disc as its diameter. Find the moment of inertia of the remainder about the axix of the disc

The moment of inertia of a circular disc of mass M and radius R about an axis passing thrugh the center of mass is I_(0) . The moment of inertia of another circular disc of same mass and thickness but half the density about the same axis is

Knowledge Check

  • A small hole is made in a disc of mass M and radius R at a distance R//4 from centre. The disc is supported on a horizontal peg through this hole. The moment of inertia of the disc about horizontal peg is

    A
    `(MR^(2))/9`
    B
    `5/16MR^(2)`
    C
    `9/16MR^(2)`
    D
    `5/4MR^(2)`

  • The adjoining figure shows a disc of mass M and radius R lying in the X-Y plane with its centre on X - axis at a distance a from the origin. Then the moment of inertia of the disc about the X-axis is

    A
    `M((R^(2))/(2))`
    B
    `M((R^(2))/(4))`
    C
    `M((R^(2))/(4)+a^(2))`
    D
    `M((R^(2))/(2)+a^(2))`

  • From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed from the disc. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is

    A
    `4M^(2)`
    B
    `40/9MR^(2)`
    C
    `10MR^(2)`
    D
    `37/9MR^(2)`

    • Similar Questions

    Explore conceptually related problems

    The moment of inertia of a uniform circular disc of mass M and radius R about any of its diameters is 1/4 MR^(2) . What is the moment of inertia of the disc about an axis passing through its centre and normal to the disc?

    From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed as shown in figure. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is

    Moment of inertia of a disc of mass 'M' and radius 'R' about the diameter is

    From a circular disc of radius R and mass 9 M , a small disc of mass M and radius (R)/(3) is removed concentrically . The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through its centre is

    Form a circular disc of radius R and mass 9M , a small disc of mass M and radius R/3 is removed concentrically . The moment of inertia of the remaining disc about an axis perpendicular to the the plane of the disc and passing its centre is :-

    Home
    Profile