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Test: Mass Moment of Inertia - Civil Engineering (CE) MCQ


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10 Questions MCQ Test Engineering Mechanics - Test: Mass Moment of Inertia

Test: Mass Moment of Inertia for Civil Engineering (CE) 2024 is part of Engineering Mechanics preparation. The Test: Mass Moment of Inertia questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Test: Mass Moment of Inertia MCQs are made for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Mass Moment of Inertia below.
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Test: Mass Moment of Inertia - Question 1

What is the unit of mass moment of inertia?

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Test: Mass Moment of Inertia - Question 2

What is the product of the mass and the square of the distance of the center of gravity of the mass from an axis?

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The product of the mass and the square of the distance of the center of gravity of the mass from an axis is known as the mass moment of inertia about that axis.

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Test: Mass Moment of Inertia - Question 3

What is the mass MOI of a rectangular plate about x-axis passing through the C.G of the plate if the y-axis is parallel to d and perpendicular to b?

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As the mass MOI is to be find along the x-axis, it would be Md2/12.

Test: Mass Moment of Inertia - Question 4

What is mass moment of inertia of circular plate?

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The mass moment of inertia of circular plate is Mr2/4.

Test: Mass Moment of Inertia - Question 5

What is the mass MOI of a hollow circular cylinder if R is the outer diameter and r is the inner diameter?

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The mass MOI of a hollow circular cylinder is M(R + r)/4 where R is the outer diameter and r is the inner diameter.

Test: Mass Moment of Inertia - Question 6

What is the mass MOI of right circular cone of radius R and height H about its axis?

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The mass MOI of right circular cone of radius R and height H about its axis is 3MR2/10.

Test: Mass Moment of Inertia - Question 7

The ratio of moment of inertia of a circular plate to that of a square plate for equal depth is

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Moment of inertia of circular plate,


Moment of inertia of Square plate,


Calculation: The ratio of the moment of inertia of a circular plate to that of a square plate is, Which is less than 1.
Important Points
 The following table shows the Second moment of inertia of different shapes

Test: Mass Moment of Inertia - Question 8

Moment of inertia of a square of side 'b' about an axis through its centre of gravity is

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Concept:
Moment of inertia of an area or Second moment of area (MI):

  • MI of a body about any axis is defined as the summation of the second moment of all elementary areas about the axis.
  • I = Σ(A × d2)

Unit: m4 or mm4 or cm4
For a square of side a or b:

Moment of inertia is 

Test: Mass Moment of Inertia - Question 9

Moment of inertia of a thin spherical shell of mass M and radius R, about its diameter is

Detailed Solution for Test: Mass Moment of Inertia - Question 9

Moment of inertia:
Moment of inertia is a measure of the resistance of a body to angular acceleration about a given axis that is equal to the sum of the products of each element of mass in the body and the square of the element’s distance from the axis.

Moment of inertia of a thin spherical shell of mass M and radius R about its diameter.
I = (2/3)MR2
Additional Information
Moment of inertia of some important shapes:

Test: Mass Moment of Inertia - Question 10

The ratio of the moment of inertia of a circular plate of diameter same as that of a side of a square plate is 

Detailed Solution for Test: Mass Moment of Inertia - Question 10


The moment of inertia (I1) of a circular plate of diameter “D” is given by:

The moment of inertia (I2) of the square plate of side equal to the diameter “D” of the circular plate is given by:

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