Three particles of mass 8 kg, 3 kg, and 7 kg are connected by rigid rods of negligible mass lying along the y axis and are placed at 5 m, -2 m, and -6 m,
respectively as in the figure. The system rotates about the x axis with an angular
speed of 1.65 rad/s.

a) Find the moment of inertia about the x axis. Consider the
masses to be point particles.

b) Find the total rotational energy.

c) Find the linear speed of the top particle of mass 8 kg in the figure.