The moment of inertia of a solid sphere ...

The moment of inertia of a solid sphere of radius R about an axis passing through its diameter is I. The sphere is melted and recast into a circular disc of thickness `frac{R}{3}`. The moment of inertia of this disc about an axis perpendicular to plane and passing through its centre of mass is

5 I

3.5 I

4 I

2.5 I

Text Solution

AI Generated Solution

Topper's Solved these Questions

TEST 3
AAKASH INSTITUTE|Exercise EXAMPLE|54 Videos
TEST 5
AAKASH INSTITUTE|Exercise EXAMPLE|190 Videos

Similar Questions

Explore conceptually related problems

The moment of inertia of a sphere of radius R about an axis passing through its centre is proportional to-

The moment of inertia of a copper disc, rotating about an axis passing through its centre and perpendicular to its plane

Moment of inertia of a thin circular plate of mass M , radius R about an axis passing through its diameter is I . The moment of inertia of a circular ring of mass M , radius R about an axis perpendicular to its plane and passing through its centre is

The moment of inertia of a uniform circular disc is maximum about an axis perpendicular to the disc and passing through. .

Moment of inertia of a ring of mass M and radius R about an axis passing through the centre and perpendicular to the plane is

From a disc of radius R, a concentric circular portion of radius r is cut out so as to leave an annular disc of mass M. The moment of inertia of this annular disc about the axis perpendicular to its plane and passing through its centre of gravity is

I is moment of inertia of a thin circular ring about an axis perpendicular to the plane of ring and passing through its centre. The same ring is folded into 2 turns coil. The moment of inertia of circular coil about an axis perpendicular to the plane of coil and passing through its centre is

Calculate the moment of inertia of a disc of radius R and mass M, about an axis passing through its centre and perpendicular to the plane.

Find the moment of inertia of a uniform half-disc about an axis perpendicular to the plane and passing through its centre of mass. Mass of this disc is M and radius is R.

AAKASH INSTITUTE-TEST 4-EXAMPLE

A thin ring of mass m and radius R is in pure rolling over a horizonta...
Text Solution
|
A ring is rolling without slipping. The ratio of translational kinetic...
Text Solution
|
The moment of inertia of a cube of mass M and edge length a about an a...
Text Solution
|
The moment of inertia of a solid sphere of radius R about an axis pass...
Text Solution
|
A hollow sphere rolls down a rough inclined plane whose angle of incli...
Text Solution
|
A body of mass m is projected with a velocity u at an angle theta with...
Text Solution
|
A particle of mass 300 g is moving with a speed of 20 ms^-1 along the ...
Text Solution
|
A cubical block of edge length 1 m and density 800 kg m^-3 rests on a ...
Text Solution
|
A body is thrown from ground for horizontal range 100 m. If the body b...
Text Solution
|
A body is in pure rolling over a horizontal surface. If the rotational...
Text Solution
|
A particle is rotating about a fixed axis with angular acceleration ve...
Text Solution
|
Two discs A and B have same mass and same thickness. If d1 and d2 are ...
Text Solution
|
The rotational inertia of a disc about its axis is 0.70 kg m^2. When a...
Text Solution
|
A force vecF = (hati+hatj-hatk)N acts at a point P(3 m, 6 m, 9 m). The...
Text Solution
|
A block is attached to each end of a rope that passes over a pulley su...
Text Solution
|
The angular velocity of a wheel rotating with constant angular acceler...
Text Solution
|
A person is standing on a rotating platform, with his arms at his side...
Text Solution
|
A wheel initially has an angular velocity of 18 rad/s. It has a costan...
Text Solution
|
For a body to be in equilibrium under the combined action of several f...
Text Solution
|
The SI unit of "Angular Impulse" is
Text Solution
|