Which of the following statements regarding the center-of-gravity method is false?
a) Center of gravity always lies outside the body.
b) Center of gravity coincides with the center of mass in a uniform gravitational field.
c) Center of gravity is often confused with the center of mass.
|d) Center of gravity is the point at which the whole mass of the object acts.

Solution:

The center of gravity is an imaginary point in a body of matter, where the whole mass of the body is supposed to be concentrated. 

The center of gravity is useful in designing static structures like tall buildings and bridges. In a uniform gravitational field, the center of gravity becomes equal to the center of mass of the body. But if the gravitational field is not uniform, the center of gravity should not be confused with the center of mass.

Importance of center of gravity:

1. The center of gravity heavily simplifies calculations involving gravitation and dynamics to be able to treat the mass of an object as if it is concentrated at one point.
2. Helps in understanding the basic concepts of balancing.
3. It helps in understanding the parameter of the automobile industry.
4. COG is an essential parameter to determine the flight characteristics of an object.

Thus, the correct option for the given problem is option a).

Which of the following statements regarding the center-of-gravity method is false?

Summary:

The correct option for the given problem is option a)