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 mmb=2.0 \mathrm{~mm} and its radius to R=100 mmR=100 \mathrm{~mm} (b) of a uniform solid cone relative to its symmetry axis, if the mass of the cone is equal to mm and the radius of its base to RR.

Reveal Answer
(a) I=1/2πρbR4=2.8 gm2I=1 / 2 \pi \rho b R^{4}=2.8 \mathrm{~g} \cdot \mathrm{m}^{2} (b) I=3/10mR2I={ }^{3} /_{10} m R^{2}