Let I(A) and I(B) be moments of inertia ...

Let `I_(A) and I_(B)` be moments of inertia of a body about two axes A and B respectively. The axis A passes through the centre of massof the body but B does not. Choose the correct option.

`I_(A) lt I_(B)`

`I_(A) lt I_(B)`, whether the axes are parallel or not parallel

if the axes are parallel `I_(A) lt I_(B)`

If the axes are not parallel `I_(A) ge I_(B)`

Text Solution

Verified by Experts

The correct Answer is:

`I_(CM)` is less than `I` about any other axis not passing through centre of mass but only when two axes are parallel.

Topper's Solved these Questions

ROTATION
DC PANDEY|Exercise (B) Chapter Exercises|25 Videos
ROTATION
DC PANDEY|Exercise (C) Chapter Exercises|39 Videos
ROTATION
DC PANDEY|Exercise Check point 9.3|15 Videos
RAY OPTICS
DC PANDEY|Exercise Integer type q.|15 Videos
ROTATIONAL MECHANICS
DC PANDEY|Exercise Subjective Questions|2 Videos

Similar Questions

Explore conceptually related problems

Let I_(A) and I_(B) be moments of inertia of a body about two axes A and B respectively. The axis A passes through the centre of mass of the body but B does not

find moment of inertia about an axis yy which passes through the centre of mass of the two particle system as shown

Let I_(1) and I_(2) be the moment of inertia of a uniform square plate about axes APC and OPO respectively as shown in the figure. P is centre of square. The ratio (I_(1))/(I_(2)) moment of inertia is - .

In the figure shown, a planer body is in the shape of a rhombus ABCD: I_(1) and I_(2) are moment of inertias: about axis passing through centre and perpendicular to sides BC and DC respectively. I_(3) and I_(4) are amount of inertias about diagonal axis BD and AC respectively. Then the moment of inertia about an axis passing through centre and perpendicular tothe plane of body is given by

Consider a uniform square plate shown in the figure. I_(1), I_(2), I_(3) and I_(4) are moment of inertia of the plate about the axes 1, 2, 3 and 4 respectively. Axes 1 and 2 are diagonals and 3 and 4 are lines passing through centre parallel to sides of the square. The moment of inertia of the plate about an axis passing through centre and perpendicular to the plane of the figure is equal to which of the followings. (a) I_(3) + I_(4) (b) I_(1) + I_(3) (c) I_(2) + I_(3) (d) (1)/(2) (I_(1) + I_(2) + I_(3) + I_(4))

Moment of inertia of a rigid body about an axis passing through its centre of mass is I_(0) and moment of inertia of the same body about another axis parallel to the first axis is I. Then

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 the moment of inertia of a ring about transverse axis passing through its centre is 6 kg m^(2) , then the M.I. about a tangent in its plane will be

DC PANDEY-ROTATION-(A) Chapter Exercises

A rod is placed along the line,y=2x with its centre at origin. The mom...
Text Solution
|
The ratio of the radii of gyration of a circular disc and a circular r...
Text Solution
|
Let I(A) and I(B) be moments of inertia of a body about two axes A and...
Text Solution
|
The ratio of the radii of gyration of a hollow sphere and a solid sphe...
Text Solution
|
A square lamina is as shown in figure. The moment of inertia of the fr...
Text Solution
|
The ratio of the radii of gyration of a circular disc about a tangenti...
Text Solution
|
A thin uniform circular disc of mass M and radius R is rotating in a h...
Text Solution
|
A ring is kept on a rough inclined surface. But the coefficient of fri...
Text Solution
|
A wheel of bicycle is rolling without slipping on a level road. The ve...
Text Solution
|
A disc is rolling without slipping on a horizontal surface with C, as ...
Text Solution
|
A rigid body rotates with an angular momentum L. If its rotational kin...
Text Solution
|
A rigid and a disc of different masses are rotating with the same kine...
Text Solution
|
Work done by friction in case of pure rolling
Text Solution
|
Forces are applied on a wheel of radius 20 cm as shown in the figure. ...
Text Solution
|
O is the centre of an equilateral triangle ABC. F(1), F(2) and F(3) ar...
Text Solution
|
The figure shows the angular velocity versus time graph of a flywheel....
Text Solution
|
A table fan, rotating at a speed of 2400 rpm, is switched off and the ...
Text Solution
|
A sphere can roll on a surface inclined at an angle theta, if the fric...
Text Solution
|
If a disc of mass m and radius r is reshaped into a ring of radius2r, ...
Text Solution
|
A disc of mass m and radius R is rolling on horizontal ground with lin...
Text Solution
|