Mastering the Center of Mass: Calculations and Applications in Physics

This PowerPoint focuses on the concept of the center of mass (CM) and its calculation for different systems. It explains that the CM is the balance point where torques from all masses cancel out. For one-dimensional objects, the CM is calculated as the weighted average of the positions of the masses. The presentation extends this concept to two-dimensional and more complex objects, showing how the CM can be found using symmetry or integrals. It also discusses the CM of a right-angled triangle, where the CM is located at a specific fraction of the base′s length. The idea is illustrated with examples, such as balancing masses on a seesaw and finding the centroid of a triangle.