10. + -18 points SerPSE9 10.P.044.WI. My Notes Ask Your Teacher Rigid rods of ne

Question

10. + -18 points SerPSE9 10.P.044.WI. My Notes Ask Your Teacher 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 2.40 rad/s 4.00 kg y-3.00nm 8Oy2.00 m .00 k gy- 4.00 m (a) Find the moment of inertia about the x axis kam (b) Find the total rotational kinetic energy evaluated fromw 2 (c) Find the tangential speed of each particle 4.00 kg particle 2.00 kg particle 3.00 kg particle m/s m/s m/s (d) Find the total kinetic energy evaluated frommivi. (e) Compare the answers for kinetic energy in parts (b) and (d)

Explanation / Answer

(a) moment of inertia, I = mr^2

the total moment of inertia, I = I1+I2+I3 = 4*9+2*4+3*16   (since I = mr^2 )

     = 92 kg-m^2

(b) total rotational kinetic energy, E = 1/2I?^2 = 264.96 J

(c) tangential speed of each particle,

V = r?

V1 = 3*2.4 = 7.2 m/s

V2 = 4.8 m/s

V3 = 9.6 m/s

(d) total kinetic energy,

E = E1+E2+E3 = 103.68 + 23.04 + 138.24 = 264.96 J

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