Consider a rigid object consisting of two masses m₁ = 5.5 kg and m₂ = 2.5 kg joined by a massless rod of length d= 0.5 m (i.e. a "dumbbell") It is positioned in the y-z plane with the rod's midpoint at the origin, making an angle of 45° to the x-axis, as shown in the figure below. O Which of the following is the correct inertia tensor for this system? O -- O 004 m₁ 0 0 1 0 1 1 0 Ma го -1 -11 0 2 0 1 Or 0 wim 1 1 0 1-1 1 1 m₂ [1 0 0 0 1 -2 0-2 1
Consider a rigid object consisting of two masses m₁ = 5.5 kg and m₂ = 2.5 kg joined by a massless rod of length d= 0.5 m (i.e. a "dumbbell") It is positioned in the y-z plane with the rod's midpoint at the origin, making an angle of 45° to the x-axis, as shown in the figure below. O Which of the following is the correct inertia tensor for this system? O -- O 004 m₁ 0 0 1 0 1 1 0 Ma го -1 -11 0 2 0 1 Or 0 wim 1 1 0 1-1 1 1 m₂ [1 0 0 0 1 -2 0-2 1
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Transcribed Image Text:Consider a rigid object consisting of two masses m₁ = 5.5 kg and m₂ = 2.5 kg joined by a massless rod of length d = 0.5 m (i.e. a "dumbbell").
It is positioned in the y-z plane with the rod's midpoint at the origin, making an angle of 45° to the x-axis, as shown in the figure below.
O
Which of the following is the correct inertia tensor for this system?
O
O
O
[0
0 7
OOO
0 -1
2
0 1
mi
0
1
0
1
0 1
0
0
1
812
0
1
-17
1
1
0
4
1
4
0
-2
m2
0 -2 1
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