Question

The Center of gravity of geometrical shaped objects will lie:
A) At its periphery
B) At its center
C) Outside it
D) None

Answer 1

Center of gravity is a point in an object where all of the mass of the object is concentrated. So, you can understand easily, that at the center of a geometrical shaped object distribution of weight is equal in all directions. But, sometimes, the center of an arbitrary object may not be its center of gravity.

Complete step by step solution:
The center of gravity of an object is the point where the total weight of the object may be assumed to be applied. When an object is supported at its center of gravity, then there is no moment acting on the body. When an object is suspended in such a way that it can move freely, the center of gravity of it is always directly below the suspension point.
All the bodies having geometrical shapes are supposed to be made of the same material and same thickness everywhere. If the object is uniform, the center of gravity of it will be at the exact geometric center.
For example, the center of gravity of a circle is its center. The center of gravity of a square, or rectangle, or a parallelogram is situated at the point where its diagonals meet each other. The center of gravity of a triangle is located at the point where the medians of the triangle meet.
So, the center of gravity of a geometrical shaped object will remain at its center.

The correct answer is (B): Center of gravity of geometrical shaped objects will lie at its center.

Note: Center of gravity does depend on the gravitational field. However, the center of gravity and center of mass of an object lies at the same point in a uniform gravitational field. This is applicable for smaller bodies near the surface of earth.