MCQ POLAR & MOMENT OF INERTIA

https://www.mesubjects.net/wp-admin/post.php?post=7685&action=edit      Moment of inertia

https://www.mesubjects.net/wp-admin/post.php?post=7433&action=edit          MCQ Bending & Axial Loading Combined

https://www.mesubjects.net/wp-admin/post.php?post=4303&action=edit          Shear stresses in beams

https://www.mesubjects.net/wp-admin/post.php?post=4290&action=edit        MCQ Bending Stresses -2

https://www.mesubjects.net/wp-admin/post.php?post=4179&action=edit         MCQ Bending stresses-1

 

 

MCQ POLAR & MOMENT OF INERTIA

MCQ increase the clarity and understanding.

Moment of inertia plays its role in bending.

Higher value resists bending. Highest value

is for I shaped cross section. Polar moment

of inertia is important for circular motion as

in shafts. Higher value of polar moment of

inertia reduces shear stress and distortion.

  1. Polar moment of inertia is about

  1. Neutral axis

  2. Centroid axis

  3. Neutral fiber

  4. None

ANS: (b)

  1. Polar moment of inertia is used in

  1. Beams

  2. Columns

  3. Shafts

  4. None

ANS: (c )

  1. Polar moment of inertia is determined with

  1. Parallel axis theorem

  2. Perpendicular axis theorem

  3. Both parallel & perpendicular axis theorems

  4. None

ANS: (b)

  1. Polar moment of inertia is given by

  1. Firstly          Ixx –Iyy

  2. Secondly      Ixx + Iyy

  3. Thirdly          I2xx +I2yy

  4. None

ANS: (b)

  1. Polar moment of inertia of a rectangular cross section is

  1. (1/12)bh(b2+h2)

  2. (1/12)bh(b3+h3)

  3. (1/12)(bh)(b4+h4)

  4. None

ANS: (a)

  1. Polar moment of inertia of a circular section is

  1. (π/64) d3

  2. (π/64) d4

  3. (π/32) d4

  4. None

ANS: ©

  1. Higher polar moment of inertia gives

  1. High distortion

  2. Less distortion

  3. Medium distortion

  4. None

ANS: (b)

  1. Polar moment of inertia is used in

  1. Rectilinear motion

  2. Planar motion

  3. Circular motion

  4. None

ANS: (c )

  1. Why is it called polar moment of inertia?

  1. It is about a line in the cross-section

  2. About a point in the cross-section

  3. About a parallel axis in the cross –section

  4. None

ANS: (b)

  1. Which cross-section is used maximum with polar moment of inertia?

  1. Rectangular

  2. Square

  3. Circular

  4. None

ANS: (c )

  1. Symbol for polar moment of inertia

  1. I

  2. J

  3. Z

  4. None

ANS: (b)

  1. Units of polar moment of inertia

  1. Firstly      mm3

  2. Secondly   mm2

  3. Thirdly      mm4

  4. None

ANS: (c )

  1. For a circular section, polar moment of inertia is

  1. 4 Ixx

  2. 3 Ixx

  3. 2 Ixx

  4. None

ANS: (c )

  1. For a rectangular section, polar moment of inertia is

  1. Firstly         2 Ixx

  2. Secondly      2 Iyy

  3. Thirdly          2 Izz

  4. None

ANS: (d)

15. Moment of inertia is for a

  1. 3 dimensional body

  2. 2 dimensional plain figure

  3. 1 dimensional line

  4. None

ANS: (b)

  1. Symbol for moment of inertia is

  1. J

  2. I

  3. Z

  4. None

ANS: (b)

  1. Units for moment of inertia is

  1. Firstly            mm

  2. Secondly       mm2

  3. Thirdly          mm3

  4. None

ANS: (d)

  1. Moment of inertia of a cross-section about xx axis is

  1.  Firstly        ∫dA y2

  2. Secondly    ∫dA x2

  3. Thirdly       ∫dA z2

  4. None

ANS: (a)

  1. Moment of inertia for a rectangular cross section about xx-axis, width b and depth d is

  1. Firstly           Ixx = (1/12) bd4

  2. Secondly       Ixx = (1/12) bd2

  3. Thirdly            Ixx = (1/12) bd3

  4. None

ANS: ©

  1. Moment of inertia for a square cross section, each side is ‘a’

  1. Firstly             Ixx =Iyy =  (1/12) a4

  2. Secondly         Ixx =Iyy =  (1/12) a3

  3. Thirdly             Ixx =Iyy =  (1/12) a2

  4. None

ANS: (a)

  1. Moment of inertia for a circular solid cross section

  1. Firstly            Ixx =Iyy =  (π/64) d3

  2. Secondly        Ixx =Iyy =  (π/64) d2

  3. Thirdly            Ixx =Iyy =  (π/64) d4

  4.  (d)None

ANS: (c )

  1. Moment of inertia for a circular hollow cross section

  1. (a) Ixx =Iyy =  (π/32)[ do4 –di4 ]

  2. (b) Ixx =Iyy =  (π/64)[ do4 –di4 ]

  3. © Ixx =Iyy =  (π/16)[ do4 –di4 ]

  4. (d)None

ANS: (b)

23. Use of moment of inertia is in

  1. Torsion

  2. Bending

  3. Tension

  4. None

ANS: (b)

24. Larger value of moment of inertia reduces

  1. Distortion

  2. Deformation

  3. Both distortion & deformation

  4. None

ANS: (b)

 25. Which is best section with same value of cross sectional area?

  1. Rectangular

  2. Circular

  3. Elliptical

  4. None

ANS: (d)

26. Which is best section with same value of cross sectional area?

  1. Rectangular

  2. Circular

  3. I-section

  4. None

ANS: (c)