and radius rotates about the -axis, as shown in the figure above. Find its moment of inertia.A disk of mass
with homogeneous density that has a circular base of radius and a height of If the cylinder rotates about the diameter of the circular base, what is its moment of inertia?Consider a solid cylinder of mass
and radius rotates about the -axis, as shown in the figure above. Find its moment of inertia.A ring of mass
Consider a rectangular sheet of metal with width and length . The sheet is in the x-y plane, with the origin right in the geometric middle of the sheet. The x-axis is parallel to the short edge, while the y-axis is parallel to the long edge. The moment of inertia about the z-axis is and the moment of inertia about an axis that passes diagonally through the sheet (i.e. corner to corner) in the xy plane is . What is the moment of inertia about the y-axis in ?
Estimate the moment of inertia of a die along an axis that passes through one of the die's edges in . The mass of the die is and the length of each edge is .
Details and assumptions
Assume that the die is a perfect cube and its mass is evenly distributed.