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Rigid rods of negligible mass lying along the y axis connect three particles. The system rotates...

Rigid rods of negligible mass lying along the y axis connect three particles. The system rotates about the x axis with an angular speed of 3.20 rad/s.

An x y plane is shown. Three particles are all connected to each other by two rigid rods that are along the y-axis. The 4.00 kg particle is located at y = 3.00 m. The 2.00 kg particle is located at y = −2.00 m. The 3.00 kg mass is located at y = −4.00 m. The axis of rotation is the x-axis and it rotates in a counterclockwise direction (from the perspective of the side, along the +x-axis).

(a) Find the moment of inertia about the x axis.
kg · m2

(b) Find the total rotational kinetic energy evaluated from 1/2(Iw2)

J

4.00 kg particle m/s
2.00 kg particle m/s
3.00 kg particle m/s



(c) Find the tangential speed of each particle.


(d) Find the total kinetic energy evaluated from

1
2
mivi2

.
J

(e) Compare the answers for kinetic energy in parts (b) and (d).

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