At which point is the centre of gravity situated in: A triangular lamina
A
At the point of intersection of its perpendicular bisectors.
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B
At the point of intersection of its angular bisectors.
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C
At the point of intersection of its sides
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D
At the point of intersection of its medians.
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Solution
The correct option is D At the point of intersection of its medians. Centre of gravity means a point from which the weight of a body or system may be considered to act. In uniform gravity it is the same as the centre of mass. For regular shaped bodies centre of gravity lies in the centre of the particular body. Hence for triangular lamina centre lies at the centroid which is the intersection of the three lines drawn from the vertex to the midpoint of the opposite side. Hence centre of gravity lies at the intersection of the three medians.