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 1.40 rad/s.

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

(b) Find the total rotational kinetic energy evaluated from (1/2)I?2.

(c) Find the tangential speed of each particle.

4.00 kg particle =

2.00 kg particle =

3.00 kg particle =

(d) Find the total kinetic energy evaluated from

1 2 mivi2
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 1.40 rad/s. Find the moment of inertia about the x axis. Find the total rotational kinetic energy evaluated from (1/2)I?2. Find the tangential speed of each particle. Find the total kinetic energy evaluated from

Explanation / Answer

a ) Ix = (4*3*3)+(2*2*2)+(3*4*4)=92

b)0.5*92*1.4*1.4=90.16 J

c)V=rw

V4 = 3*1.4=4.2 m/s

V2=2*1.4=2.8 m/s

V3= 3*4*1.4=5.6 m/s

d)T KE = (0.5*4*4.2*4.2)+(0.5*2*2.8*2.8)+(0.5*3*5.6*5.6) +90.16 = 180.32 J

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