You have the positions of each point, multiplied by the mass of that point, and all of that divided by the sum of the masses to get the position of the Center of Mass.

The center of mass can be calculated by taking the masses you are trying to find the center of mass between and multiplying them by their positions. Then, you add these together and …

Review the key concepts, equations, and skills for the center of mass and two-dimensional collisions, including how to understand center of mass motion.

Learn about the concept of center of mass and its real-world applications. Understand how objects with uniform density have their center of mass at the geometric center, and how this …

However, for many common geometric shapes it is possible to find tables of equations for the rotational inertia in textbooks or other sources. These typically give the moment of inertia for a …

The equations in the video are correct. Where are you seeing the equation L = m * w? The closest I have seen is L = I * w where the I is moment of inertia which is I = m * r^2. The distance of …

We can use lines of symmetry to help determine where a system's center of mass is located. For example, a line of symmetry for the bucket of balls is modeled below:

We've got a formula for translational kinetic energy, the energy something has due to the fact that the center of mass of that object is moving and we have a formula that takes into account the …

Well, the moment of inertia depends on axis, so if you were to consider inertia about the hinge, then it would be more than the inertia about the center of mass. However, if you actually want …

The gravitational force can be modeled as acting at the system’s center of mass. Since the wheel-sprocket system is symmetrical, the center of mass is at the axis of rotation.