Line PQ is parallel to y - axis and mome...

Line PQ is parallel to y - axis and moment of inertia of a rigid body about PQ line is given by `I=2x^(2)-12x+27,` where x is in meter and I is in `"kg m"^(3)`. The minimum value of I is :

`"27 kg m"^(2)`

`"11 kg m"^(2)`

`"17 kg m"^(2)`

`"9 kg m"^(2)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

NTA JEE MOCK TEST 75
NTA MOCK TESTS|Exercise PHYSICS|25 Videos
NTA JEE MOCK TEST 77
NTA MOCK TESTS|Exercise PHYSICS|25 Videos

Similar Questions

Explore conceptually related problems

Moment of inertia of a uniform-disc of mass m about an axis x=a is mk^(2) , where k is the radius of gyration. What is its moment of inertia about an axis x=a+b :

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

Assertion: Moment of inertia of a rigid body about any axis passing through its centre of mass is minimum Reason: From theorem of parallel axis I=I_(cm)+Mr^(2)

Moment of inertia I of a solid sphere about an axis parallel to a diameter and at a distance x from it varies as:

Moment of inertia of a disc about an axis parallel to diameter and at a distance x from the centre of the disc is same as the moment of inertia of the disc about its centre axis. The radius of disc is R . The value of x is

The axis X and Z in the plane of a disc are mutually perpendicular and Y-axis is perpendicular to the plane of the disc. If the moment of inertia of the body about X and Y axes is respectively 30 kg m^(2) and 40 kg m^(2) then M.I. about Z-axis in kg m^(2) will be:

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

Moment of inertia of a body about a given axis is the rotational inertia of the body about that axis. It is respresented by I = MK^(2) , where M is mass of body and K is radius of gyration of the body about that axis. It is a scalar quantity, which is measured in kg m^(2) . when a body rotates about a given axis, and teh axis of rotates also moves, then total K.E. of body = K.E. of translation + K.E. of rotation E = (1)/(2)mv^(2) + (1)/(2)I omega^(2) Which the help of the compreshension given above, choose the most apporpriate altermative for each of the following questions : Kinetic energy of rotation of the flywheel in the above case is

Moment of inertia of a body about a given axis is the rotational inertia of the body about that axis. It is respresented by I = MK^(2) , where M is mass of body and K is radius of gyration of the body about that axis. It is a scalar quantity, which is measured in kg m^(2) . when a body rotates about a given axis, and teh axis of rotates also moves, then total K.E. of body = K.E. of translation + K.E. of rotation E = (1)/(2)mv^(2) + (1)/(2)I omega^(2) Which the help of the compreshension given above, choose the most apporpriate altermative for each of the following questions : Moment of inertia of a body depends on (i) mass of body (ii) size and shape of body (iii) axis of rotation of body (iv) all the above

Moment of inertia of a body about a given axis is the rotational inertia of the body about that axis. It is respresented by I = MK^(2) , where M is mass of body and K is radius of gyration of the body about that axis. It is a scalar quantity, which is measured in kg m^(2) . when a body rotates about a given axis, and teh axis of rotates also moves, then total K.E. of body = K.E. of translation + K.E. of rotation E = (1)/(2)mv^(2) + (1)/(2)I omega^(2) Which the help of the compreshension given above, choose the most apporpriate altermative for each of the following questions : A 40 kg flywheel in the from of a unifrom circular disc of diameter 1 m is making 120 rpm . Its moment of inertia about a transverse axis through its centre is

NTA MOCK TESTS-NTA JEE MOCK TEST 76-PHYSICS

Two particles having masses m and 4m are separated by distance l. The ...
Text Solution
|
Two bodies of masses 1 kg and 4 kg are connected to a vertical spring,...
Text Solution
|
One mole of gas having gamma = 7//5 is mixed with 1 mole of a gas havi...
Text Solution
|
Two identical glass bulbs are interconnected by a thin glass tube. A g...
Text Solution
|
Water is being poured in a vessel at a constant rate alpha m^(2)//s. T...
Text Solution
|
A star initially has 10^(40) deuterons. It produces energy via the pr...
Text Solution
|
The mass M shown in figure ocillates in simple harmonic motion with am...
Text Solution
|
The photosensitive surface is receiving the light of wavelength 5000Å ...
Text Solution
|
A cone of radius R and height H, is hanging inside a liquid of density...
Text Solution
|
Line PQ is parallel to y - axis and moment of inertia of a rigid body ...
Text Solution
|
In the following circuits, PN - junction diodes D(1),D(2) and D(3) are...
Text Solution
|
The viscosity eta of a gas depends on the long - range attractive part...
Text Solution
|
plane waves refracted for air to water using Huygen.s principal a,b,c,...
Text Solution
|
2 loudspeakers are emitting sound waves of wavelength lambda with an i...
Text Solution
|
A block of mass m is connected rigidly with a smooth wedge (plank) by ...
Text Solution
|
Shown in the figure is a block at rest haivng an inclined smooth groov...
Text Solution
|
A particle is suspended by a light vertical inelastic string of length...
Text Solution
|
A 1kg block B rests as shown on a bracket A of same mass. Constant for...
Text Solution
|
When the gap between two identical concave thin lenses (mu=(3)/(2), f=...
Text Solution
|
A block of mass 0.1 kg is attached to a cord passing through a hole in...
Text Solution
|