Rigid rods of negligible mass lying along the y axis connect three particles. Th

Question

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 1.20 rad/s. (The center of mass of mass m1 = 8.60 kg is at location y1 = 6.45 m, the center of mass of m2 = 4.30 kg is at y2 = 4.30 m, and the center of mass of m3 = 6.45 kg is at y3 = 8.60 m.)

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


(b) Find the total rotational kinetic energy evaluated from

(c) Find the tangential speed of each particle.

(d) Find the total kinetic energy evaluated from

(e) Compare the answers for kinetic energy in parts (b) and (d). (If your answers from (b) and (d) differ by less than 7%, then answer that they are equal; otherwise, answer which one is greater.)

Explanation / Answer

(a). 912.3304 kg-m^2

(b). 658.31796 J

(c). velocity of particle 1 = 7.74 m-s

  velocity of particle 1 = 5.16 m-s

velocity of particle 1 = 10.32 m-s

(d). 658.31796 J

(e). Both answer are same because motion is pure rotation

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