Home
Class 12
PHYSICS
Find the moment of inertia of a uniform ...

Find the moment of inertia of a uniform ring of mass M and radius R about a diameter.

Text Solution

Verified by Experts

Consider x & y two mutually perpendicular diameters of the ring. `I_x+I_y=I_z` `I_x=I_y`(due to symmetrey) `I_z=(MR^2)/2` `I_x=I_y=(MR^2)/4`.
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF A PARTICLES & ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise SOLVED EXAMPLES|20 Videos

  • SYSTEM OF A PARTICLES & ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise PRACTICE EXERCISE-1|4 Videos

  • SIMPLE HARMONIC MOTION

    VMC MODULES ENGLISH|Exercise 7-previous year question|46 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise IMPECCABLE|56 Videos

Similar Questions

Explore conceptually related problems

Find the moment of inertia of a uniform sphere of mass m and radius R about a tangent if the spheres (1) solid (ii) hollow?

The moment of inertia of a ring of mass M and radius R about PQ axis will be

For a uniform ring of mass M and radius R at its centre

Moment of inertia of a circular wire of mass M and radius R about its diameter is

Find the moment of inertia of a solid cylinder of mass M and radius R about a line parallel to the axis of the cylinder and on the surface of the cylinder.

The moment of inertia of a uniform semicircularwire of mass M and radius r about a line perpendicular to the plane of the wire through the centre is :

The moment of inertia of a uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc through the center is

Find the moment of inertia of a solid sphere of mass M and radius R about an axis XX shown in figure. Also find radius of gyration about the given axis.

Find the moment of inertia of a solid sphere of mass M and radius R about an axis XX shown in figure. Also find radius of gyration about the given axis.

Calculate the moment of inertia of a. a ring of mass M and radius R about an axis coinciding with the diameter of the ring. b. as thin disc about an axis coinciding with the diameter.