3 polnts SerPSET9 10.P045 My The four particles shown below are connected by rig

Question

3 polnts SerPSET9 10.P045 My The four particles shown below are connected by rigid rods of negligible mass where y1 -5.70 m. The origin is at the center of the rectangle. The system rotates in the xy plane about the z axis with an angular speed of 6.20 rad/s. 3.00 kg 2.00 kg 2.00kg 4.00 kg (a) Calculate the moment of inertia of the system about the z axis kg m2 (b) Calculate the rotational kinetic energy of the system Need Help? Show My Work met bed What steps or reasoning did you use? Your work courts towards your You can submit show my work an unlimited number of times Uploaded File(10 tle masimum No Files to Display Upload File

Explanation / Answer

Here,

part A)

for the moment of inertia about the z axis

moment of inertia , I = 2 * 2 * (2^2 + (5.70/2)^2) + 3 * (2^2 + (5.70/2)^2) + 4 * (2^2 + (5.70/2)^2)

moment of inertia = 133.35 Kg.m^2

the moment of inertia is 133.35 Kg.m^2

part B)

w = 6.20 rad/s

rotational kientic energy = 0.50 * I * w^2

rotational kientic energy = 0.50 * 133.35 * 6.20^2

rotational kientic energy = 2563 J

the rotational kinetic energy is 2563 J

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