Home
Class 11
PHYSICS
A uniform disc of radius R lies in the x...

A uniform disc of radius `R` lies in the `x-y` plane, with its centre at origin. Its moment of inertia about z-axis is equal to its moment of inertia about line `y = x + c`. The value of `c` will be.
.

A

`-(R)/(2)`

B

`+-(R)/(sqrt(2))`

C

`(+R)/(4)`

D

`-R`

Text Solution

Verified by Experts

The correct Answer is:
B
`I_(PQR)=I_(AOB)+M.(ON)^(2)`
`I_(PQR)=(1)/(4)MR^(2)+M.((C)/(sqrt(2)))^(2)`
But `I_(PQR)=(1)/(2)MR^(2)`

`:. C=+-(R)/(sqrt(2))`
Hence `(B)` is correct.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise dpp 60|5 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise dpp61|6 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise dpp 58|9 Videos

  • CURRENT ELECTRICITY

    RESONANCE|Exercise Exercise|54 Videos

  • ELASTICITY AND VISCOCITY

    RESONANCE|Exercise Advanced Level Problems|9 Videos

Similar Questions

Explore conceptually related problems

Moment of inertia of a disc about its own axis is I. Its moment of inertia about a tangential axis in its plane is

A disc of radius R has a concentric hole of radius R /2 and its mass is M. Its moment of inertia about an axis through its centre and perpendicular to its plane, is

Knowledge Check

  • A uniform disc of radius R lies in x-y plane with its centre at origin. Its moment of inertia about the axis x=2R and y=0 is equal to the moment of inertia about the axis y=d and z=0, where d is equal to

    A
    `(4)/(3)R`
    B
    `(sqrt17)/(2)R`
    C
    `sqrt13R`
    D
    `(sqrt15)/(2)R`

  • A uniform disc of radius R lies in xy-plane with its centre at origin. Its moments of inertia about the axis X=2R and Y=0 is equal to the moment of inertia about the axis Y=d and Z=0 . What is the value of d ?

    A
    `(sqrt(17))/2R`
    B
    `sqrt(13)R`
    C
    `sqrt(15/2)R`
    D
    `4/3R`

  • A uniform disc of radius R lies in xy plane with its centre at origin. Its moment of inertia about the axis x = 2 R and y =0 is equal to the moment of inertia about the axis y =d and z = 0. What is d equal to ?

    A
    ` sqrt(17)/(2) R `
    B
    ` sqrt(13) R `
    C
    `sqrt(15)/(2) R `
    D
    `4/3 R `

    • Similar Questions

    Explore conceptually related problems

    A rod is placed along the line, y=2x with its centre at origin. The moment of inertia of the rod is maximum about.

    The moment of inertia of a ring about its geometrical axis is I, then its moment of inertia about its diameter will be

    Moment of inertia of a disc about its own axis is l . Its moment of inertia about a tangential axis in its plane is

    A uniform circular disc of radius R lies in the XY plane with its centre coinciding with the origin.The moment of inertia about an axis passing through a point on the X-axis at a distance x=2R and perpendicular to the X-Y plane is equal to its moment of inertia about an axis passing through a pint on the Y-axis at a distance y=d and parallel to the X-axis in the X-Y plane. The value of d is

    The moment of inertia of semicircular ring about its centre is

    Home
    Profile