All Problems

Dynamics of a solid body

Problem 1.239

Calculate the moment of inertia (a) of a copper uniform disc relative to the symmetry axis perpendicular to the plane of the disc, if its thickness is equal to \(b=2.0 \mathrm{~mm}\) and its radius to \(R=100 \mathrm{~mm}\) (b) of a uniform solid cone relative to its symmetry axis, if the mass of the cone is equal to \(m\) and the radius of its base to \(R\).

Reveal Answer
(a) \(I=1 / 2 \pi \rho b R^{4}=2.8 \mathrm{~g} \cdot \mathrm{m}^{2}\) (b) \(I={ }^{3} /_{10} m R^{2}\)