How to find the angle between F2 and the x axis?

  • Thread starter Thread starter Godblessyou
  • Start date Start date
  • Tags Tags
    Angle Axis
Click For Summary
SUMMARY

The discussion focuses on calculating the angle between the force F2 and the x-axis using the cosine rule from triangle geometry. The user established that the angle between force F1 and the negative x-axis is 70 degrees, leading to a 20-degree angle with the positive y-axis. However, the user struggled to find the resultant force due to insufficient information regarding the angle of F2. The cosine rule equation a² = b² + c² - 2bc cos A is crucial for solving the problem.

PREREQUISITES
  • Understanding of triangle geometry and the cosine rule
  • Knowledge of vector forces and their components
  • Familiarity with trigonometric functions
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the application of the cosine rule in vector addition
  • Learn how to resolve forces into their components
  • Explore trigonometric identities and their applications in physics
  • Practice problems involving resultant forces and angles
USEFUL FOR

Students in physics or engineering courses, particularly those tackling vector analysis and force resolution problems.

Godblessyou
Messages
6
Reaction score
0

Homework Statement


Find the angle between the x-axis and the force F2, and the magnitude of the resultant force?


Homework Equations


The equation of the triangle:
a(squared) = b(squared) + c(squared) - 2bc cos A


The Attempt at a Solution


What I did was that I said that since the angle between the f1 and the negative x-axis is 70 degrees. Then the angle with the +y axis should be 20 degrees, and therefore if we make the whole two forces as a triangle and solve using the cosine rule, we should get the value of the resultant force, but after wasting countless amounts of paper, I still haven't got a solution? Any help will be greatly appreciated!
 

Attachments

  • Untitled.jpg
    Untitled.jpg
    4.3 KB · Views: 412
Physics news on Phys.org
Was there any other information that you have left out? The angle could be anything without extra information.
 
Nope that is all the information given!
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

Replies
1
Views
1K
Replies
21
Views
3K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
5
Views
2K
  • · Replies 4 ·
Replies
4
Views
8K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 12 ·
Replies
12
Views
2K
Replies
2
Views
2K
  • · Replies 7 ·
Replies
7
Views
8K