Center of mass of a body coincides with its center of gravity irrespective of its mass and size
1. True
2.False
I would say True (also they are in uniform Gravitational field)
No, I refuse to just answer. You say and tell us why. What do you think? What is the difference between mass and weight? Would it be different at different locations in the body?
The correct answer is:
1. True
Explanation:
The statement is true. The center of mass of a body is the point at which the entire mass of the body can be considered to be concentrated. On the other hand, the center of gravity is the point at which the entire weight or gravitational force of the body can be considered to be acting.
For a body in a uniform gravitational field, the center of gravity coincides with the center of mass. This is because the gravitational force on each individual mass element of the body is proportional to its mass. Therefore, when considering the total force or weight of the body, the moments (forces) generated by the individual mass elements around any axis will cancel each other out, resulting in the simplification of the center of gravity to be at the same point as the center of mass.
In summary, for most practical scenarios, the center of mass and the center of gravity of a body coincide, irrespective of its mass and size.