A uniformly-dense equilateral triangle with weights hanging from each vertex is fixed at its center of mass as shown below: The triangle has a mass of 2kg and each side has a length of 0.50 meters, and it is held so that the vertex connected to F3 is at an angle of 40° from the horizontal. All weights hang vertically downwards, where F1=20 N, F2=15 N and F3=20 N. What is the magnitude of the angular acceleration when the triangle is released and allowed to rotate, in rad/s?? Justify your answer with your rationale and equations used. Itriangle = ML? r = Hint: Be careful with the angles you use for your calculation! Remember what the angles between vertexes of an equilateral triangle are.

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Chapter1: Units, Trigonometry. And Vectors
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A uniformly-dense equilateral triangle with weights hanging from each vertex is fixed at its center of mass as shown below:
The triangle has a mass of 2kg and each side has a length of 0.50 meters, and it is held so that the vertex connected to F3 is at an angle of 40° from the horizontal.
All weights hang vertically downwards, where F1=20 N, F2=15 N and F3=20 N.
What is the magnitude of the angular acceleration when the triangle is released and allowed to rotate, in rad/s?? Justify your answer with your rationale and
equations used.
Itriangle = ML?
L
r =
V3
Hint: Be careful with the angles you use for your calculation! Remember what the angles between vertexes of an equilateral triangle are.
Transcribed Image Text:A uniformly-dense equilateral triangle with weights hanging from each vertex is fixed at its center of mass as shown below: The triangle has a mass of 2kg and each side has a length of 0.50 meters, and it is held so that the vertex connected to F3 is at an angle of 40° from the horizontal. All weights hang vertically downwards, where F1=20 N, F2=15 N and F3=20 N. What is the magnitude of the angular acceleration when the triangle is released and allowed to rotate, in rad/s?? Justify your answer with your rationale and equations used. Itriangle = ML? L r = V3 Hint: Be careful with the angles you use for your calculation! Remember what the angles between vertexes of an equilateral triangle are.
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