Center of Gravity (centroid) - The point through which the whole mass of the body acts, irrespective of the position of the body, is known as centre of gravity (briefly written as c.g.) The plane geometrical figures (like rectangle, triangle, circle etc.) have only areas but no mass. The centre of area of such figures is known as centroid or centre of gravity of the area of the body. It may be noted that every body has one, and only one, Centre of Gravity. The centre of gravity of some simple figures is given below.
![The centre of gravity The centre of gravity](data:image/png;base64,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)
1. The center of gravity of a uniform rod is at its middle point.
2. The center of gravity (G) of a rectangle (or parallelogram) lies at a point where its diagonals intersect, as shown in Fig. 1.5.
3. The center of gravity (G) of a triangle lies at a point where the three medians of the triangle intersect, as shown in Fig. 1.6.
Note : A median is a line joining the vertex and the middle point of the opposite side.
![Center of Gravity (centroid) Center of Gravity (centroid)](data:image/png;base64,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)
4. The center of gravity of a semi-circle lies at a distance of 4r/3Ï€ from its base measured along the vertical radius, as shown in Fig. 1.7.
5. The centre of gravity of a hemisphere lies at a distance of 3r/8 from its base, measured along the vertical radius, as shown in Fig. 1.8.
6. The centre of gravity of a trapezium with parallel sides a and b, lies at a distance of
measured from side b, as shown in Fig. 1.9.
7. The centre of gravity of a right circular solid cone lies at a distance of h/4 from its base, measured along the vertical axis, as shown in Fig. 1.10.
1. The center of gravity of a uniform rod is at its middle point.
2. The center of gravity (G) of a rectangle (or parallelogram) lies at a point where its diagonals intersect, as shown in Fig. 1.5.
3. The center of gravity (G) of a triangle lies at a point where the three medians of the triangle intersect, as shown in Fig. 1.6.
Note : A median is a line joining the vertex and the middle point of the opposite side.
4. The center of gravity of a semi-circle lies at a distance of 4r/3Ï€ from its base measured along the vertical radius, as shown in Fig. 1.7.
5. The centre of gravity of a hemisphere lies at a distance of 3r/8 from its base, measured along the vertical radius, as shown in Fig. 1.8.
6. The centre of gravity of a trapezium with parallel sides a and b, lies at a distance of
7. The centre of gravity of a right circular solid cone lies at a distance of h/4 from its base, measured along the vertical axis, as shown in Fig. 1.10.
center of grAVITY OF ASIA ????
ReplyDeleteWill depend on the concentration of mountain and lake in the region of Asia.
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