See below and explain fully Four particles with masses 9 kg. 3 kg, 9 kg, and 5 k

Question

See below and explain fully

Four particles with masses 9 kg. 3 kg, 9 kg, and 5 kg are connected by rigid rods of negligible mass as shown. Assume the system rotates in the yz plane about the x axis with an angular speed of 6 rad/s. Find the rotational energy of the system about the x axis. Answer in units of J Now assume the system rotates in the xy plane about the z axis (origin. O) with an angular speed of 6 rad/s. Find the rotational energy of the system about the z axis. Answer in units of J

Explanation / Answer

rotational energy = 1/2*I*w^2

where I = m.o.i of 4 ball system

now I = mr^2

= 3.5^2 *(26)

= 318.5 kg.m2

energy = 0.5*318.5*36

= 5733 J

2nd case

inertia =

= 4.949^2 *(5 + 9+ 3+9)

= 637 kg.m2

rotaion energy = 0.5 *637 *6^2

= 11466 J

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