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Test: Mass Moment of Inertia - Mechanical Engineering MCQ


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

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Test: Mass Moment of Inertia - Question 1

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

Detailed Solution for Test: Mass Moment of Inertia - Question 1

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.

Test: Mass Moment of Inertia - Question 2

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

Detailed Solution for Test: Mass Moment of Inertia - Question 2

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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Test: Mass Moment of Inertia - Question 3

What is the unit of mass moment of inertia?

Detailed Solution for Test: Mass Moment of Inertia - Question 3

The mass moment of inertia is the product of moment of inertia and area. So L4 x L2 = L6. so its unit will be m6.

Test: Mass Moment of Inertia - Question 4

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 4


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: Mass Moment of Inertia - Question 5

What is mass moment of inertia of circular plate?

Detailed Solution for Test: Mass Moment of Inertia - Question 5

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

Test: Mass Moment of Inertia - Question 6

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?

Detailed Solution for Test: Mass Moment of Inertia - Question 6

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

Test: Mass Moment of Inertia - Question 7

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

Detailed Solution for Test: Mass Moment of Inertia - Question 7

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 8

The polar moment of inertia of a hollow circular shaft of outer diameter (D) and inner diameter (d) is

Detailed Solution for Test: Mass Moment of Inertia - Question 8

Polar moment of inertia of Solid cylinder:

Polar moment of inertia of Hollow Cylinder:

where outer diameter = D and inner diameter = d

Test: Mass Moment of Inertia - Question 9

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

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

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 10

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

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

As the mass MOI is to be find along the y-axis, it would be Mb2/12.

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