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I trade this guy for two forces.
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This is T.
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If that angle is θ; let me see,
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that angle is θ; so this is T · sin(θ),
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and this is T · cos(θ).
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So, you trade that oblique T for two Ts
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that are in the actual simple directions.
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The fact that it's not going up or down vertically
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tells me m · g = T · sin(θ).
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Oh, I'm sorry, yes.
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Okay, then in the other direction
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T · sin(θ) is the horizontal force,