![]() ![]() ![]() So, we will use the theorem of parallel axis directly. The moment of inertia of a sphere of mass M and radius R about an axis passing through the centre is 2 5 M R 2. Hexagons Manufacturing Intelligence division provides solutions that use data from design and engineering, production and metrology to make manufacturing. We can also take a moment of inertia of many small elements and then find the complete moment of inertia about the given axis, but that process will be very long, tedious, and time-consuming. The distance between both the axes will be equal to the radius of the sphere, which is R. So, here we have the moment of inertia about the axis passing through the centre and the mass of the body is given as M. Moment of inertia for solid sphere The MOI of a solid sphere is usually derived by using the MOI of a circular disc I 1/2 ma 2 Where a is the radius of the disc. The theorem of parallel axis states that the moment of inertia of a body about any axis parallel to the axis passing through the centre of mass of the body is equal to the sum of the moment of inertia of body about the axis passing through the centre of mass and the product of the mass of the body and square of the distance between both the axes. (a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be 2. ![]()
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