A solid cylinder of radius R & length 3R...

A solid cylinder of radius R & length 3R is made of a metarial having density ` rho` . Now two hemispheres each of radius R is removed from two ends of cylinder as shown in figure. Determine the moment of inertia of this object about axis of cylinder?

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

NTA JEE MOCK TEST 33
NTA MOCK TESTS|Exercise PHYSICS|25 Videos
NTA JEE MOCK TEST 35
NTA MOCK TESTS|Exercise PHYSICS|25 Videos

Similar Questions

Explore conceptually related problems

An infinitely long solid cylinder of radius R has a uniform volume charge density rho . It has a spherical cavity of radius R//2 with its centre on the axis of cylinder, as shown in the figure. The magnitude of the electic field at the point P , which is at a distance 2 R form the axis of the cylinder, is given by the expression ( 23 r R)/( 16 k e_0) . The value of k is . .

Three identical solid discs, each of mass M and radius R, are arranged as shown in figure. The moment of inertia of the system about an axis AB will be

An infinitely long solid cylinder of radius R with uniform volume charge density rho has a spherical cavity of radius (R)/(2) with its centre on the axis of the cylinder as shown in the figure. The magnitude of the electric field at a point P which is at a distance 2R from the axis of the cylinder is given by (23rhoR)/(6Kepsilon_(0)) . What is the value of K ?

The mass of the cylinder is 25 kg and radius of cylinder is 5 m. Find the moment of inertia of a solid cylinder about a tangent to the cylinder.

A cylinder of radius R is to roll without slippoing between two planks as shown in the figure. Then

A cylinder of radius R and length l is placed in a uniform electric field E parallel to the axis of the cylinder. The total flux over the curved surface of the cylinder is

The moment of inertia of a solid cylinder of mass M, length 2R and radius R about an axis passing through the centre of mass and perpendicular to the axis of the cylinder is I_(1) and about an axis passing through one end of the cylinder and perpendicular to the axis of cylinder is I_(2)

The moment of inertia of a solid cylinder of mass M, length 2 R and radius R about an axis passing through the centre of mass and perpendicular to the axis of the cylinder is I, and about an axis passing through one end of the cylinder and perpendicular to the axis of cylinder is I_2 then

NTA MOCK TESTS-NTA JEE MOCK TEST 34-PHYSICS

For a particle in uniform circular motion the acceleration vec a ...
Text Solution
|
The electric field on two sides of a large charged plate is shown in f...
Text Solution
|
A coil takes 15 min to boil a certain amount of water, another coil ta...
Text Solution
|
The graph shown in the adjacement diagram represents the variation of ...
Text Solution
|
One mole of an ideal diatomic gas is taken through a process whose P-V...
Text Solution
|
A car accelerates from rest at a constant rate of 2ms^(-2) for some ti...
Text Solution
|
What is the disintegration constant of radon if the number of its atom...
Text Solution
|
Two cars move in the same direction along parallel roads. One of them ...
Text Solution
|
A narrow capillary tube when dipped in beaker containing water, the ri...
Text Solution
|
A thin circular metal disc of radius 500.0 mm is set rotating about a ...
Text Solution
|
A spherical mirror is placed 10 cm below the level of water. A point o...
Text Solution
|
A small block of mass m slides along a smooth frictional track as show...
Text Solution
|
A conducting bolloon of the radius a is charged to potential V(0) and ...
Text Solution
|
An N-P-N transistor is being used in CE mode for which the current tra...
Text Solution
|
A sound absorber attenuates the sound level by 20 dB. The intensity de...
Text Solution
|
Two coherent light beams of intensity I and 4I are superposed. If the...
Text Solution
|
A screw gauge with a pitch of 1 mm has 100 divisions on its circular s...
Text Solution
|
A solid cylinder of radius R & length 3R is made of a metarial having ...
Text Solution
|
Two seconds after projection, a projectile is travelling in a directio...
Text Solution
|
A block is hanged from spring is a cage. Elogation is spring is x(1)=4...
Text Solution
|