How Do You Solve Complex Physics Problems Using Trigonometry?

  • Thread starter Thread starter thugg
  • Start date Start date
Click For Summary
SUMMARY

The discussion focuses on solving complex physics problems using trigonometry, specifically in resolving tensions T1 and T2 in a system involving angles. Participants emphasize the importance of breaking down forces into horizontal and vertical components, applying sine and cosine functions to resolve tensions into vectors. The step-by-step approach includes equating horizontal and vertical forces and using substitution to find unknown values. This method is essential for calculating coefficients of friction in physics problems.

PREREQUISITES
  • Understanding of basic trigonometric functions (sine and cosine).
  • Knowledge of vector resolution in physics.
  • Familiarity with equilibrium of forces in static systems.
  • Ability to interpret and analyze free-body diagrams.
NEXT STEPS
  • Learn how to create and analyze free-body diagrams for complex systems.
  • Study the application of sine and cosine laws in resolving forces.
  • Explore the concept of static equilibrium and its mathematical implications.
  • Practice solving problems involving tension in ropes and angles using trigonometric identities.
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in mastering the application of trigonometry to solve real-world problems involving forces and tensions.

thugg
Messages
9
Reaction score
0
i can't remember how to do this at all, but can someone just post a simple step by step solution for this? thanks

http://img275.imageshack.us/img275/2392/ss2mx.jpg




also having trouble with this one



http://img374.imageshack.us/img374/1146/dfsd4mu.jpg
 
Last edited by a moderator:
Physics news on Phys.org
Q1: resolve T1 into horizontal and vertical components. Then equate all the horizontal forces and all the vertical forces.
 
Q2: let T1 be the tension in the angled rope/string and T2 be the tension in the horizontal rope/string. Use the same strategy as for Q1 to solve for T1 and T2. Hence get coefft of friction
 
hmm still kinda confused, any chance you could show me step by step how to solve it


like how do you resolve T1 and T2 to get values...like i know the 20 has components of x = 0, and y = -20 right? but how do u get values with the 30 degree angle?
 
Last edited:
thugg said:
hmm still kinda confused, any chance you could show me step by step how to solve it


like how do you resolve T1 and T2 to get values...like i know the 20 has components of x = 0, and y = -20 right? but how do u get values with the 30 degree angle?

draw out the angles and use trig.

T1+T2=(0,+20)

use the sin and cos function to resolve the two tensions into vectors. you should have 2 sets of equations to solve for T1 or T2, once you know one the other is only a matter of substitution.
 

Similar threads

Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
951
Replies
5
Views
2K
Replies
4
Views
1K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 25 ·
Replies
25
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K