Indeed, the rotational inertia of an object. This is the point at which if a force is applied, there will be no rotation. An example of how to find the centroid of a compound shape and calculate its moment of inertia about x and y axis. ![]() Rotational inertia plays a similar role in rotational mechanics to mass in linear mechanics. The first moment of inertia gives the center of mass. ![]() Determine the moments of inertia Ix and Iy of the Z. The origin of coordinates is at the centroid. It is a scalar value which tells us how difficult it is to change the rotational velocity of the object around a given rotational axis. Determine the moments of inertia Ix and Iy of the Z section. Again, we will need to describe this with an mathematical function if the height is not constant. Rotational inertia is a property of any object which can be rotated. Moving from left to right, the rate of change of the area will be the height of the shape at any given \(x\)-value times the rate at which we are moving left to right. \)) we will move left to right, using the distances from the \(y\)-axis in our moment integral (in this case the \(x\) coordinates of each point).
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