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Question (1)

QN0035339

The correct relation between moment of inertia I, radius of gyration and mass of the body is

(A)
(B)
(C)
(D)

Correct Answer: D

Explanation:

M.I. of a uniform circular disc of radius ' ' and mass ' ' about an axis passing through C.M. and normal to the disc is

From parallel

axis theorem

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Question (2)

QN0035340

The moment of inertia of a ...A... body about an axis ... ... to its plane is equal to the sum of its moments of inertia about two ...C... axes concurrent with perpendicular axis and lying in the plane of the body. Here, and refer to

(A)
three dimensional, perpendicular and perpendicular
(B)
planar, perpendicular and parallel
(C)
planar, perpendicular and perpendicular
(D)
three dimensional, parallel and perpendicular

Correct Answer: C

Explanation:

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Question (3)

QN0035341

The moment of inertia of a uniform circular disc of radius ' ' and mass ' ' about an axis passing from the edge of the disc and normal to the disc is

(A)
(B)
(C)
(D)

Correct Answer: C

Explanation:

Moment of inertia of a hollow cylinder of mass and radius about its own axis is .

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Question (4)

QN0035342

Moment of inertia does not depend upon

(A)
distribution of mas
(B)
axis of rotation
(C)
point of application of force
(D)
None of these

Correct Answer: C

Explanation:

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Question (5)

QN0035343

Moment of inertia of a hollow cylinder of mass and radius about its own axis is

(A)
(B)
(C)
(D)

Correct Answer: D

Explanation:

Radius of gyration of a body depends on the axis of rotation.

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Question (6)

QN0035344

Which of the following has the highest moment of inertia when each of them has the same mass and the same outer radius

(A)
a ring about its axis, perpendicular to the plane of the ring
(B)
a disc about its axis, perpendicular to the plane of the ring
(C)
a solid sphere about one of its diameters
(D)
a spherical shell about one of its diameters

Correct Answer: A

Explanation:

Because the entire mass of a ring is at its periphery i.e., at maximum distance from the centre and

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Question (7)

QN0035345

Radius of gyration of a body depends upon

(A)
axis of rotation
(B)
translational motion
(C)
shape of the body
(D)
area of the body

Correct Answer: A

Explanation:

Moment inertia of the rod passing through a point away from the centre of the rod

Using radius of gyration

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Question (8)

QN0035346

The radius of gyratio of a uniform rod of length , about an axis passing through a point away from the centre of the rods and perpendicular to it is

(A)
(B)
(C)
(D)

Correct Answer: B

Explanation:

, moment of inertia of a ring about its tangent in the plane of ring

Moment of inertia about a tangent perpendicular to the plane of ring

or

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Question (9)

QN0035347

The radius of gyration of a uniform rod of length , about an axis passing through a point away from the centre of the rod, and perpendicular to it, is:

(A)
(B)
(C)
(D)

Correct Answer: C

Explanation:

According to parallel axis theorem of the moment of Inertia

is maximum for point so about .

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Question (10)

QN0035348

If is the moment of inertia of a ring about a tangent in the plane of the ring and is the moment of inertia of a ring about a tangent perpendicular to the plane of the ring then

(A)
(B)
(C)
(D)

Correct Answer: D

Explanation:

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Question (1)

The correct relation between moment of inertia I, radius of gyration and mass of the body is

Explanation:

Link:

Question (2)

The moment of inertia of a ...A... body about an axis ... ... to its plane is equal to the sum of its moments of inertia about two ...C... axes concurrent with perpendicular axis and lying in the plane of the body. Here, and refer to

Explanation:

Link:

Question (3)

The moment of inertia of a uniform circular disc of radius ' ' and mass ' ' about an axis passing from the edge of the disc and normal to the disc is

Explanation:

Link:

Question (4)

Moment of inertia does not depend upon

Explanation:

Link:

Question (5)

Moment of inertia of a hollow cylinder of mass and radius about its own axis is

Explanation:

Link:

Question (6)

Which of the following has the highest moment of inertia when each of them has the same mass and the same outer radius

Explanation:

Link:

Question (7)

Radius of gyration of a body depends upon

Explanation:

Link:

Question (8)

The radius of gyratio of a uniform rod of length , about an axis passing through a point away from the centre of the rods and perpendicular to it is

Explanation:

Link:

Question (9)

The radius of gyration of a uniform rod of length , about an axis passing through a point away from the centre of the rod, and perpendicular to it, is:

Explanation:

Link:

Question (10)

If is the moment of inertia of a ring about a tangent in the plane of the ring and is the moment of inertia of a ring about a tangent perpendicular to the plane of the ring then

Explanation:

Link:

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