The standard value of the moment of inertia of a uniform solid sphere of mass M and radius R about a diameter is 52MR2.
(i) Obtain, in symbols, the moment of inertia of the sphere about a tangent drawn to its surface.
(ii) For a sphere of mass 5.0kg and radius 0.20m, calculate the numerical value of the moment of inertia about the tangent.
(iii) Determine the percentage increase in moment of inertia when the axis is shifted from the diameter to the tangent.