System of Particles and Rotational Motion.

The article focuses on the concepts of the center of mass, moment of inertia, and rotational motion in physics. It explains the center of mass as a point where the mass of a body is concentrated and provides formulas for calculating the center of mass for various symmetric shapes, such as rectangular plates, triangular plates, and hemispherical shells. The moment of inertia is defined as the sum of the products of mass and the square of the distance from the axis of rotation, with specific formulas provided for different geometric bodies. Additionally, the article discusses rotational kinematics, torque, angular momentum, and the principles of rotational equilibrium, emphasizing the relationships between these concepts in the context of rigid body dynamics. [Extracted from the article]