When to use Tsin(theta)=mv^2/r and Tsin(theta)=mg?Please help me out

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SUMMARY

The discussion centers on the correct application of the formulas Tsin(θ) = mv²/r and Tcos(θ) = mg in the context of circular motion. The user expresses confusion over when to use sine versus cosine in these equations, which are crucial for analyzing forces in both vertical and horizontal circular motion. The response emphasizes the importance of sketching the problem to visualize the forces and angles involved, aiding in the correct resolution of tension components. Understanding these distinctions is essential for accurate problem-solving in physics.

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  • Understanding of circular motion dynamics
  • Familiarity with trigonometric functions (sine and cosine)
  • Knowledge of free body diagrams
  • Basic physics concepts related to tension and gravitational force
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  • Study the application of Tsin(θ) = mv²/r in vertical circular motion scenarios
  • Research the use of Tcos(θ) = mg in horizontal circular motion problems
  • Practice drawing free body diagrams for various circular motion problems
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When to use Tsin(theta)=mv^2/r and Tsin(theta)=mg?Please help me out!

Hi i am quite good on horizontal and vertical circular motion,but i always get confused by this formulae,Tsin(theta)=mv^2/r and T cos(theta)=mg.In what situation i should use sin or coz formula coz i always end up using the wrong formula all the time.i use sin instead of cos and cos instead of sin as i don't know under what circumstance i should use these.Is this related to vertical or horizontal circular motion?
 
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Why don't you draw a sketch of the problem? You could then pick whichever angle you want, and resolve the components of T whichever way you want.
 
Thanx for your reply devious
 

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