![]() The derivation is based on the parallel axis theorem and the (generalized) perpendicular axis theorem along with rotational symmetry. The derivation is based on the parallel axis theorem and the (generalized) perpendicular axis theorem along with rotational symmetry.ĪB - We obtain generalized formulae for the moments of inertia of D( 2)-dimensional uniform solid spheres and spherical shells without actual integration. N2 - We obtain generalized formulae for the moments of inertia of D( 2)-dimensional uniform solid spheres and spherical shells without actual integration. Compare the experimental and theoretical moment of inertia of the different objects. ![]() (b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be MR/4. Sphere Disk Solid cylinder Hollow cylinder. ![]() Use the data in Table 1 of Experiment 8.2 and the formulas just above eac. T1 - Moments of inertia of spheres without integration in arbitrary dimensions A sphere is hung at the end of a wire, and 30o rotation of the sphere about the wire generates a restoring torque of 4.6 Nm. Question: 7.10 (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 2MR /5, where M is the mass of the sphere and R is the radius of the sphere. Question: Table 4 Measured moment of inertia of the hollow sphere, disk and ring n (exp.) 3. ![]()
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