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Centroid and Moment of Inertia Page 1
ASSIGNMENT NO. 5
CENTRE OF GRAVITY AND MOMENT OF INERTIA
Problems:
1) Find the centre of gravity of the T-section as shown in Figure 1.1 below.
2) Find the centre of gravity of symmetrical I-section as shown in Figure 1.2 below.
3) Find the centre of gravity of the I-section as shown in Figure 1.3 below.
4) Find the centre of gravity of the L-section as shown in Figure 1.4 below.
Figure 1.1 Figure 1.2
Figure 1.3 Figure 1.4
Centroid and Moment of Inertia Page 2
5) For rectangular lamina ABCD 10 cm x 14 cm a rectangular hole of 3 cm x 5 cm is cut
as shown in figure below. Find the centre of gravity of the reminder lamina.
PROBLEMS ON MOMENT OF INERTIA
Questions:
1) Determine the moment of inertia of the section about the horizontal and vertical axes,
passing through the C.G. of the section. (see Figure 1.1)
Figure 1
2) Find the moment of inertia of the shaded lamina as shown in Figure 1.5 below about
the horizontal axis passing through its centre of gravity.
Centroid and Moment of Inertia Page 3
3) A plane lamina ABCDE is shown in Figure below. Find the moment of inertia of
lamina about an axis passing through the centroid of the lamina and parallel to base
AB.

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Assignment no. 5

  • 1. Centroid and Moment of Inertia Page 1 ASSIGNMENT NO. 5 CENTRE OF GRAVITY AND MOMENT OF INERTIA Problems: 1) Find the centre of gravity of the T-section as shown in Figure 1.1 below. 2) Find the centre of gravity of symmetrical I-section as shown in Figure 1.2 below. 3) Find the centre of gravity of the I-section as shown in Figure 1.3 below. 4) Find the centre of gravity of the L-section as shown in Figure 1.4 below. Figure 1.1 Figure 1.2 Figure 1.3 Figure 1.4
  • 2. Centroid and Moment of Inertia Page 2 5) For rectangular lamina ABCD 10 cm x 14 cm a rectangular hole of 3 cm x 5 cm is cut as shown in figure below. Find the centre of gravity of the reminder lamina. PROBLEMS ON MOMENT OF INERTIA Questions: 1) Determine the moment of inertia of the section about the horizontal and vertical axes, passing through the C.G. of the section. (see Figure 1.1) Figure 1 2) Find the moment of inertia of the shaded lamina as shown in Figure 1.5 below about the horizontal axis passing through its centre of gravity.
  • 3. Centroid and Moment of Inertia Page 3 3) A plane lamina ABCDE is shown in Figure below. Find the moment of inertia of lamina about an axis passing through the centroid of the lamina and parallel to base AB.