See below and explain fully Four particles with masses 9 kg. 3 kg, 9 kg, and 5 k
ID: 2257991 • Letter: S
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 JExplanation / 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