Engineering Mechanics

(^80) „„„„„ A Textbook of Engineering Mechanics

5. The centre of gravity of a semicircle is at a distance of

4

3

r

π

from its base measured along

the vertical radius as shown in Fig. 6.4.

Fig. 6.3. Trapezium Fig. 6.4. Semicircle

6. The centre of gravity of a circular sector making semi-vertical angle α is at a distance

of

2sin

3

r α

α

from the centre of the sector measured along the central axis as shown

in Fig. 6.5.

Fig. 6.5. Circular sector Fig. 6.6. Hemisphere

7. The centre of gravity of a cube is at a distance of
   2

l

from every face (where l is the length

of each side).

8. The centre of gravity of a sphere is at a distance of
   2

d

from every point (where d is the

diameter of the sphere).

9. The centre of gravity of a hemisphere is at a distance of
   3
   8

r

from its base, measured along

the vertical radius as shown in Fig. 6.6.

Fig. 6.7. Right circular solid cone Fig.6.8. Segment of a sphere

10. The centre of gravity of right circular solid cone is at a distance of
    4

h

from its base,

measured along the vertical axis as shown in Fig. 6.7.