Question

Three small objects are located in the x-y plane as shown in the figure. The objects have the following masses: mA 1.93 kg, mB- 2.09 kg, mc 3.67 kg. x (m) What is 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 =5.00 m and у = 4.00 m? The objects are small in size, their moments of inertia about their own centers of mass are negligibly small. Submit Answer Tries 0/12

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Answer #1

Given, mA = 1.93 kg, mB= 2.09 kg, mC = 3.67 kg

x =5 m, y = 4 m

The moment of inertai of each ball, IA = mA [(x-2)2 + (y-2)2]

IA = 1.93 [(5 - 2)2 + (4 - 1)2] = 1.93 [9 + 9]

IA = 34.74 Kg.m2

For  the ball B

IB = 2.09 * [(5 -7)2 +(4 - 4)2] = 2.09 [4 + 0]

IB = 8.36 Kg.m2

For  the bal C

IC = 3.67 [(5 - 5)2 + (4-7)2] = 3.67 [0 + 9]

IC = 33.03 Kg.m2

The total moment of inertia = 34.74 + 8.36 + 33.03

= 76.3  Kg.m2

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