Center of Mass by Integration (Rigid Objects with Shape)

The video tutorial explains how to determine the center of mass for rigid objects with defined shapes, focusing on a right triangle with uniform density. It introduces the concept of treating objects as made up of infinite particles, leading to the use of integrals. The tutorial walks through the process of calculating the x-position center of mass for a triangle, emphasizing the importance of understanding the relationship between position and mass. The video concludes with a practical demonstration of the triangle's center of mass in projectile motion, highlighting the physics principles involved.

What is the total volume of the triangle of thickness t?

What is the final expression for the x-position of the center of mass of a uniform triangle?

How does the thickness of the right triangle affect the x-position center of mass?

How does the center of mass behave when the triangle is in projectile motion?