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Test: Moment of Inertia - Mechanical Engineering MCQ


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10 Questions MCQ Test Engineering Mechanics for Mechanical Engineering - Test: Moment of Inertia

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

Point, where the total volume of the body is assumed to be concentrated is ____________

Detailed Solution for Test: Moment of Inertia - Question 1

The centroid of the volume is the point where total volume is assumed to be concentrated. It is the geometric centre of a body. If the density is uniform throughout the body, then the center of mass and center of gravity correspond to the centroid of volume. The definition of the centroid of volume is written in terms of ratios of integrals over the volume of the body.

Test: Moment of Inertia - Question 2

The axis about which moment of area is taken is known as ____________

Detailed Solution for Test: Moment of Inertia - Question 2

The axis of reference is the axis about which moment of area is taken. Most of the times it is either the standard x or y axis or the centeroidal axis.

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Test: Moment of Inertia - Question 3

What is the formula of radius of gyration?

Detailed Solution for Test: Moment of Inertia - Question 3

The radius of gyration of a body about an axis is a distance such that its square multiplied by the area gives moment of inertia of the area about the given axis. The formula of radius of gyration is given as k2 = I/A.

Test: Moment of Inertia - Question 4

What is MOI?

Detailed Solution for Test: Moment of Inertia - Question 4

The formula of the moment of inertia is, MOI = ar2 where M = mass, a = area, l = length, r = distance.

Test: Moment of Inertia - Question 5

What is the formula of theorem of parallel axis?

Detailed Solution for Test: Moment of Inertia - Question 5

The theorem of parallel axis states that if the moment of inertia of a plane area about an axis in the plane of area theough the C.G. of the plane area be represented by IG, then the moment of the inertia of the given plane area about a parallel axis AB in the plane of area at a distance h from the C.G. is given by the formula IAB = Ah2 + IG.

Test: Moment of Inertia - Question 6

What is the formula of theorem of perpendicular axis?

Detailed Solution for Test: Moment of Inertia - Question 6

Theorem of perpendicular axis stares that if IXX and IYY be the moment of inertia of a plane section about two mutually perpendicular axis X-X and Y-Y in the plane of the section then the moment of inertia of the section IZZ about the axis Z-Z, perpendicular to the plane and passing through the intersection of X-X and Y-Y is given by the formula Izz – Ixx = Iyy.

Test: Moment of Inertia - Question 7

What will be the the radius of gyration of a circular plate of diameter 10cm?

Detailed Solution for Test: Moment of Inertia - Question 7

The moment of inertia of a circle, I = πD4/64 = 491.07 cm4
The area of circle = 78.57 cm,
Radius of gyration = (I/A)1/2 = 2.5 cm.

Test: Moment of Inertia - Question 8

What is the unit of radius of gyration?

Detailed Solution for Test: Moment of Inertia - Question 8

The radius of gyration = (length4/length2)1/2 = length
So its unit will be m.

Test: Moment of Inertia - Question 9

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: Moment of Inertia - Question 9


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:

Test: Moment of Inertia - Question 10

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

Detailed Solution for Test: Moment of Inertia - Question 10

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 

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