Home
Class 11
PHYSICS
if I(1) is te moment of inertia of a thi...

if `I_(1)` is te moment of inertia of a thin rod about an axis perpendicular to its length and passing thorugh its centre of mass and `I_(2)` te moment of inertia of the ring formed by the same rod about an axis passing through the centre of mass of the ring and perpendicular tot he plane of the ring. then find the ratio `(I_(1))/(I_(2))`.

Text Solution

Verified by Experts

`l=2piRimpliesR=(l)/(2pi)`
`(I_(1))/(I_(2))=(ml^(2)//12)/(mR^(2))=(l^(2))/(12R^(2))`
`=(l^(2))/(12(l//2pi)^(2))`
`=(pi^(2))/(3)`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Exercise 12.2|4 Videos
  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Exercise 12.3|4 Videos
  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Solved Example|1 Videos
  • ROTATION

    DC PANDEY|Exercise (C) Chapter Exercises|39 Videos
  • ROTATIONAL MOTION

    DC PANDEY|Exercise Integer Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

If I_(1) is the moment of inertia of a thin rod about an axis perpendicular to its length and passing through its centre of mas and I_(2) is the moment of inertia of the ring about an axis perpendicular to plane of ring and passing through its centre formed by bending the rod, then

If l_(1) is the moment of inertia of a thin rod about an axis perpendicular to its length and passing through its centre of mass and l_(2) is the moment of inertia (about central axis) of the ring formed by bending the rod, then the ratio of I_(1) to I_(2) is

If I_(1) is moment of inertia of a thin rod about an axis perpendicular to its length and passing through its centre and I_(2) is its moment of inertia when it is bent into a shape of a ring then (Axis passing through its centre and perpendicular to its plane)

The moment of inertia of a straight thin rod of mass M and length l about an axis perpendicular to its length and passing through its one end, is

The moment of inertia of a rod of length l about an axis passing through its centre of mass and perpendicular to rod is I . The moment of inertia of hexagonal shape formed by six such rods, about an axis passing through its centre of mass and perpendicular to its plane will be

From a complete ring of mass M and radius R , a 30^@ sector is removed. The moment of inertia of the incomplete ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is ,

Calculate the moment of inertia of a ring of mass 2 kg and radius 50 cm about an axis passing through its centre and perpendicular to its plane