Question Video: Identifying the Position of the Center of Gravity of a Uniform Rod | Nagwa Question Video: Identifying the Position of the Center of Gravity of a Uniform Rod | Nagwa

Question Video: Identifying the Position of the Center of Gravity of a Uniform Rod Mathematics • Third Year of Secondary School

Where does the center of gravity of a fine rod, 𝐴𝐵, of uniform density lie?

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Video Transcript

Where does the center of gravity of a fine rod, 𝐴𝐵, of uniform density lie?

Let’s begin by reminding ourselves what we mean when we talk about the center of gravity of an object. The center of gravity, sometimes called center of mass, is the unique point from which the object’s weight force acts.

In particular, we’re interested in this rod 𝐴𝐵, which has uniform density. And the fact that the rod is uniform gives us information about the point at which the center of gravity acts. Specifically, let’s call the weight force of the rod 𝐴𝐵 𝑤. This is located at the geometric center of the body. Of course, since a uniform rod is a linear object with constant linear density, its center of mass is exactly at its midpoint.

And so we can say the center of gravity or the center of mass of 𝐴𝐵 lies at the midpoint of 𝐴𝐵.

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