Solution of task 6.3.8 from the collection of Kepe OE

Solution of task 6.3.8 from the collection of Kepe OE

6.3.8
The body consists of a homogeneous cone 1 and a homogeneous cylinder 2 of the same height H. Assuming the specific gravities of the cone and the cylinder, respectively, equal to γ1 and γ2, determine the ratio γ1 / γ2 at which the xc center of gravity coordinate is zero. (Answer 6)