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Question (11)
QN0035349

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

A circle with circles and points

Description automatically generated

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

The distribution of mass about axis  is minimum so radius of gyration is minimum and therefore moment of inertia is minimum about .

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Question (12)
QN0035350

Three particles, each of mass  gram, are situated at the vertices of an equilateral triangle  of side  (as shown in the figure). The moment of inertia of the system about a line  perpendicular to  and in the plane of , in gram-  units will be 

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

A raw egg behaves like a spherical shell and a half boiled egg behaves like a solid sphere

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Question (13)
QN0035351

The moment of inertia of the rectangular plate  is minimum along the axis 

  • (A)

  • (B)

  • (C)

  • (D)

    A C

Correct Answer: B
Explanation:

In a hollow sphere, the mass is distributed away from the axis of rotation. So, its moment of inertia is greater than that of a solid sphere.

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Question (14)
QN0035352

Of the two eggs which have identical sizes, shapes and weights, one is raw, and other is half boiled. The ratio between the moment of inertia of the raw to the half boiled egg about central axis is

  • (A)

    one

  • (B)

    less than one

  • (C)

    greater than one

  • (D)

    not comparable

Correct Answer: B
Explanation:

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Question (15)
QN0035353

One solid sphere  and another hollow sphere  are of same mass and same outer radii, Their moments of inertia about their diameters are respectively  and , such that  

  • (A)

     

  • (B)

  • (C)



     

  • (D)

Correct Answer: C
Explanation:

In a hollow sphere, the mass is distributed away from the axis of rotation. So, its moment of inertia is greater than that of a solid sphere.

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Question (16)
QN0035354

The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring is

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

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Question (17)
QN0035355

The moment of inertia of a thin uniform rod of mass  and length  about an axis passing through its midpoint and perpendicular to its length is . Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

By theorem of parallel axes,

 

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Question (18)
QN0035356

each of value , are placed at the corners of a square  of side . The moment of inertia of this system about an axis passing through  and parallel to  is

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

 

M.I due to the point mass at  M.I due to the point mass at  M.I due to the point mass at .

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Question (19)
QN0035357

Consider a uniform square plate of side '  ' and mass '  '. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

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Question (20)
QN0035358

Point masses  and  are lying at the points ,  and  respectively. The moment of inertia of this system about -axis will be           

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

Moment of inertia of the whole system about the axis of rotation will be equal to the sum of the moments of inertia of all the particles.

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