Specify the coordinate direction angle α1 of F1. Express your answer to two significant figures and include the appropriate units. I think F1 is to the left and the first angle below F1 is 30
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To find the coordinate direction angle α1 of F1, we can use the given information that F1 is to the left and the first angle below F1 is 30 degrees.
The coordinate direction angle measures the angle between a vector and a specified reference axis. In this case, we need to find the angle between F1 and the positive x-axis (which we will take as our reference axis).
Since F1 is to the left, we can assume it is acting in the negative x-direction. Therefore, the angle between F1 and the positive x-axis will be 180 degrees minus the given angle (30 degrees). This is because 180 degrees represents a straight line (the negative x-axis) and we need to subtract the given angle from that to find the angle measured counterclockwise from the positive x-axis.
So, α1 = 180° - 30° = 150°.
Therefore, the coordinate direction angle α1 of F1 is 150 degrees.
To determine the coordinate direction angle α₁ of force F₁, we need to use the given information that F₁ is to the left and the angle below F₁ is 30°.
The coordinate direction angle α₁ is the angle between the positive x-axis and the line of action of force F₁.
Since F₁ is to the left, the line of action of F₁ will be in the negative x-direction. Therefore, the angle α₁ will be negative.
To find the magnitude of the coordinate direction angle α₁, we subtract the given angle (30°) from 180°:
α₁ = 180° - 30°
= 150°
Since F₁ is to the left, the coordinate direction angle α₁ is -150°.
Therefore, the specified coordinate direction angle α₁ of force F₁ is -150°.