Solution of task 17.2.8 from the collection of Kepe OE

Solution of task 17.2.8 from the collection of Kepe OE

17.2.8
A homogeneous thin rod of length l = 1.5 m rotates with an angular acceleration ε around an axis perpendicular to the rod. Find the size l1, which determines the position of the center of inertia reduction, with respect to which the principal moment of the inertia forces is zero. (Answer 1)