Write Tr = T1 + T2 in vector notation

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SUMMARY

The discussion centers on the vector notation for the equation Tr = T1 + T2, specifically addressing the challenges posed by different axes. Participants emphasize the importance of using the cosine function to find the component of force (F) in a specific direction, particularly when dealing with angles. The clarification that sine is only applicable when the angle is 90° minus the desired angle reinforces the use of cosine in most scenarios. This understanding is crucial for accurately resolving forces in vector notation.

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  • Understanding of vector notation in physics
  • Knowledge of trigonometric functions, specifically sine and cosine
  • Familiarity with force components and their resolution
  • Basic grasp of angles and their relationships in physics
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Students studying physics, particularly those focusing on mechanics, as well as educators and professionals involved in engineering and force analysis.

bbarke00
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Problem is here http://engineeringhomework.net/statics/hw1p19.html" I understand that Tr=T1+T2, but the different axis is throwing me off.
 
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hi bbarke00! :smile:

to find the component of F in a particular direction,

always multiply F by cos of the angle from that direction

(the only time you use sin is when you're given an angle θ which is 90° minus the angle you want … then it's still cos, but it's cos(90° - θ) which of course is sinθ :wink:)

show us what you get :smile:
 

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