JEE Exam » JEE Study Material » Physics » Centre of Gravity

Centre of Gravity

The centre of gravity is an imaginary point at which the total weight of an object is said to be concentrated. Find out more about the importance of the centre of gravity here.

Ever tried to make a pencil stand on your fingertip and succeeded? Or balanced rocks one over the other, carefully placing them so that your rock-tower does not collapse? These are the perfect examples of instances where the centre of gravity comes into play.

The centre of gravity of any object is an imaginary centre point where the body’s total weight is thought to be concentrated. It is used to calculate the behaviour of a body in motion when acted on by gravity. 

There is a difference between the centre of gravity and the centre of mass. The centre of gravity is determined by the weight of an object, which is mass affected by gravity. On the other hand, the centre of mass is determined only by the mass of that object, regardless of gravity.

Properties of Centre of Gravity

  • Most uniform objects have their centre of gravity at their geometric centre.
  • In some objects, the centre of gravity can also be located at a distance from the object’s geometric centre.
  • In hollow or irregularly shaped objects, the centre of gravity is often located outside the physical body. Examples include chairs and rings.
  • Only in a uniform gravitational field, where g (gravitational force) is constant, the centre of gravity is the same as the centre of mass.
  • But for many objects, g varies. In such cases, the centre of gravity will move closer to a region where the object is in a stronger field than the uniform gravitational field.

Centre of Gravity’s Importance

The centre of gravity plays an important factor in the contemporary world of engineering and physics. Its primary function is to simplify calculations. This is because many physical and engineering calculations would become impossible to solve without defining the centre of gravity.

The importance of the centre of gravity rules can be felt in the automobile, space engineering, and other such scientific fields related to motion and balance. The International Space Station uses the centre of gravity to maintain attitude control up in space. In the design of cars, the centre of gravity helps prevent the toppling over of the vehicle easily. It also comes into play in gymnastics, sports, and everyday life.

How to find out the centre of gravity?

The centre of gravity can be easily found through a simple, practical experiment. If an object is supported on a point, and it stays there without toppling over, the point at which the object is balanced is its centre of gravity. In this case, the total gravitational torque about this particular point is zero, which helps it balance and also helps us determine the object’s centre of gravity.

The centre of gravity of the Moon

There are three centres that come into play when we talk about the centre of gravity of the Moon. The geometric centre, the centre of mass, and the centre of gravity. For the Moon, the geometric centre and the centre of mass are very close to each other. However, since the Moon is affected by the gravitational pull of the Earth, its g (gravitational force) is displaced. Therefore, the centre of gravity of the Moon, although within the Moon, is slightly displaced towards Earth. This is an important fact to remember to answer centre of gravity questions in your exam.

Centre of Gravity of different objects

The Shape of the body

Centre of gravity (CG)

A ring

The hollow centre of the ring

A circular disk

The disk’s centre

A cylinder

The middle point of the axis

A cube

The point where the diagonals intersect

A triangular plate

The point where the medians intersect

A square or rectangular plate

The point where the diagonals intersect

Cylinder

The middle point of the axis

Cone or Pyramid

The point that is at 1/4th the length of the apex from the centre of the base.

Conclusion

From everyday acts of walking and balancing ourselves to the lengthy calculations that go into engineering and astrophysics, the centre of gravity plays an important role in everything. It is crucial to make a note of the properties of the centre of gravity. Finally, as you prepare for your exam, make sure to go through the frequently asked questions on the centre of gravity.

faq

Frequently asked questions

Get answers to the most common queries related to the IIT JEE Examination Preparation.

Can an object have more than one centre of gravity?

Ans. The centre of gravity is a single centre point where the weight of the whole object is imagined to be c...Read full

Explain the importance of the centre of gravity.

Ans. In the practical world, the centre of gravity is calculated while designing structures such as building...Read full

Can the centre of gravity lie outside an object?

Ans. Yes, it is possible that an object has its centre of gravity outside its matter. A good example of this...Read full

What is the difference between the centre of mass and the centre of gravity?

Ans. The point at which the mass of an object is equally distributed in all directions is called the centre ...Read full

How does the centre of gravity affect equilibrium?

Ans. When you tilt an object in stable equilibrium, the centre of gravity of that object rises. Whereas in a...Read full