Question

Given below are some regular shaped objects of uniform density. Mark the position of centre of gravity in each of these objects.

Answer 1

Centre of gravity

1. The centre of gravity of a body is defined as the imaginary point where the entire weight of the body is thought to be concentrated.
2. For a regular shaped object, the centre of gravity lies at its geometrical centre.

Position of centre of gravity

i. Uniform rod:

The centre of gravity of a uniform rod will be at the middle point of the rod, where the weight of the uniform rod is average.

ii. Circular disc:

Centre of gravity of the circular disc is at the centre of the disc.

iii. Parallelogram lamina:

Centre of gravity of the parallelogram lamina is at the point of intersection of two diagonals (AC and BD).

iv. Hollow cone:

Centre of gravity of the hollow cone is at a height of one-third of its total height above the base.

v. Triangular lamina:

Centre of gravity of a triangular lamina is at the point of intersection of three medians.

vi. Solid cone:

Centre of gravity of a solid cone is at the point of one-fourth of its total height from the base of the solid cone.