The moment of inertia of this set of objects with respect to the axis perpendicular to the the x-y plane passing through location x = 4.00 m and y = 3.00 m is 144.97 Kg.m^2.
<h3>What is moment of inertia?</h3>
The moment of inertia is the amount of rotation obtained by an object when it is in state of motion or rest.
Three small objects are located in the x-y plane as shown in the figure. The objects have the following masses: mA = 1.09 kg, mB = 2.83 kg, mC = 3.39 kg.
The coordinates of Ball A :(2,1) Ball B :(8,2) and Ball C: (5,8) and axis is at (4,3)
Here, for the moment of inertia of each ball
For ball A
IA = 1.09 x ((4 - 2)^2 + (3-1)^2)
IA = 8.72 Kg.m^2
for the ball B
IB = 2.83 * ((4 - 8)^2 + (3 - 2)^2)
IB = 48.11 Kg.m^2
for the ball C
IC = 3.39 * ((4 - 5)^2 + (3 - 8)^2)
IC = 88.14 Kg.m^2
Total moment of inertia = 8.72 + 48.11 + 88.14
Total moment of inertia = 144.97 Kg.m^2
Thus, the moment of inertia of this set of objects with respect to the axis perpendicular to the the x-y plane passing through location x = 4.00 m and y = 3.00 m is 144.97 Kg.m^2.
Learn more about moment of inertia.
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