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07/01/26-Civilwar-Overseer GRADE 1-EM-Centroid & Moment of inert

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.
The centroid of a plane lamina depends on
a)
Shape and material
b)
Shape and geometry only
c)
Weight and density
d)
Mass distribution
2.
The centroid of a right-angled triangle lies at a distance of ______ from the right-angle corner
a)
b/2 and h/2
b)
b/4 and h/4
c)
b/3 and h/3
d)
b/6 and h/6
3.
The centroid of a semicircle of radius r from its base is
a)
r/2
b)
3r/4
c)
4r/(3π)
d)
2r/π
4.
If a section is symmetrical about an axis, its centroid lies
a)
Outside the section
b)
On the axis of symmetry
c)
At the corner
d)
At the base
5.
The centroid of a quarter circle of radius r from the straight edge is
a)
r/2
b)
r/π
c)
4r/(3π)
d)
3r/4
6.
Find the centroidal x̄ distance of a rectangle of width 100 mm
a)
25 mm
b)
40 mm
c)
50 mm
d)
100 mm
7.
The moment of inertia of a rectangle b = 100 mm, d = 200 mm about centroidal x-axis is
a)

6.67 × 107 mm4

b)

3.33 × 107 mm4

c)

1.67 × 108 mm4

d)

2.33× 108 mm4

8.
The moment of inertia of a square of side 60 mm about its base is
a)

4.32× 106 mm4

b)

1.08 × 106 mm4

c)

1.80 × 106 mm4

d)

1.29 × 106 mm4

9.
The mathematical expression for area moment of inertia is
a)
∫ r dA
b)

∫ r2dA

c)
∫ dA
d)

∫ A2dA

10.
Why is an I-section preferred over a solid rectangle
a)
Lesser area
b)
Easier to manufacture
c)
Higher moment of inertia for same material
d)
Better appearance