If l(1) is the moment of inertia of a th...

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

`l:l=1:1`

`l:l=pi:3`

`l:l=pi:4`

`l:l=3:5`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

ROTATIONAL MOTION
ERRORLESS |Exercise Practice Problems (Problems based on angular momentum)|16 Videos
ROTATIONAL MOTION
ERRORLESS |Exercise Practice Problems (Problems based on kinetic energy, work and power)|30 Videos
ROTATIONAL MOTION
ERRORLESS |Exercise Practice Problems (Problems based on torque, couple)|11 Videos
NEWTONS LAWS OF MOTION
ERRORLESS |Exercise Self Evaluation Test|16 Videos
SIMPLE HARMONIC MOTION
ERRORLESS |Exercise simple Harmonic Motion|21 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 te moment of inertia of a thin rod about an axis perpendicular to its length and passing thorugh its centre of mass and l_(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 (l_(1))/(l_(2)) .

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

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)

Calculate the moment of inertia of a rod of mass M, and length l about an axis perpendicular to it passing through one of its ends.

Calculate the moment of inertia of a rod of mass 2 kg and length 5 m about an axis perpendicular to it and passing through one of its ends.

What is the moment of inertia of a rod of mass M and length L about an axis perpendicular to it through one end ? Given the moment of inertia about the centre of mass is- 1/12ML2

What is the moment of inertia of a rod of mass M, length 1 about an axis perpendicular to it through one end ? Given the moment of inertia about the centre of mass is 1/12Ml^2 .

ERRORLESS -ROTATIONAL MOTION-Practice Problems (Problems based on moment of inertia)

Three identical thin rods each of length l and mass M are joined toget...
Text Solution
|
Moment of inertia of a sphere of mass M and radius R is I. Keeping M ...
Text Solution
|
Three particles are situated on a light and rigid rod placed along Y-a...
Text Solution
|
On account of melting of ice at the north pole the moment of inertia o...
Text Solution
|
According to the theorem of parallel axes I = I("cm") + Mx^(2), the g...
Text Solution
|
What is the moment of inertia of a square sheet of side l and mass pe...
Text Solution
|
The adjoining figure shows a disc of mass M and radius R lying in the ...
Text Solution
|
We have two spheres, one of which is hollow and the other solid. They ...
Text Solution
|
From a uniform wire, two circular loops are made (i) P of radius r and...
Text Solution
|
One quarter sector is cut from a uniform circular disc of radius R. Th...
Text Solution
|
Two discs of same thickness but of different radii are made of two dif...
Text Solution
|
A thin wire of length L and uniform linear mass density rho is bent in...
Text Solution
|
If a solid sphere and solid cylinder of same mass and radius rotate ab...
Text Solution
|
Two point masses of 0.3 kg and 0.7kg are fixed at the ends of a rod of...
Text Solution
|
A circular disc A of radius r is made from an iron plate of thickness ...
Text Solution
|
A thin wire of length l and mass m is bent in the form of a semicircle...
Text Solution
|
If l(1) is the moment of inertia of a thin rod about an axis perpendic...
Text Solution
|
Four solids are shown in cross section. The sections have equal height...
Text Solution
|
The moment of inertia l of a solid sphere having fixed volume depends ...
Text Solution
|
A thin rod of length L of mass M is bent at the middle point O at an a...
Text Solution
|