Question

A system consists of a point mass m=0.76kg and a uniform solid cylinder of mass M_cylinder=2.15kg and radius R=0.43m attached to both ends of a uniform rigid rod of mass M_rod=2.15kg and length L=2.71m, as shown in the figure. The system is free to rotate about the y axis, which is at a distance x away from the point mass. The y axis is parallel to the side of the cylinder and perpendicular to the length of the rod. Find the total moment of inertia of the system about the y axis if x = 0. Express your answer using two decimal places.

The center of mass rotational inertia  I_rod = 1/12 ML²

The center of mass rotational inertia I_cylinder = 1/2 MR²

Answer 1