Force , Resultant Force, Magnitude & Direction

Click For Summary
SUMMARY

The discussion focuses on calculating the resultant force from a system of forces acting on an object, as depicted in Figure 1a. Participants are tasked with determining the magnitude and direction of the resultant force, utilizing trigonometric functions to resolve individual forces into their components. The methodology involves calculating the horizontal (Rx) and vertical (Ry) components of the forces, followed by applying the Pythagorean theorem to find the resultant force (R). The angle of the resultant force is determined using the tangent function.

PREREQUISITES
  • Understanding of vector resolution in physics
  • Proficiency in trigonometric functions and their applications
  • Familiarity with force diagrams and free-body diagrams
  • Basic knowledge of the Pythagorean theorem
NEXT STEPS
  • Study vector addition and subtraction in physics
  • Learn about free-body diagrams and their significance in force analysis
  • Explore advanced trigonometric identities and their applications in physics
  • Investigate the principles of equilibrium and net force calculations
USEFUL FOR

This discussion is beneficial for physics students, engineers, and anyone involved in mechanics or force analysis, particularly those looking to deepen their understanding of resultant forces and vector resolution techniques.

BaLTHEBEAST
Messages
3
Reaction score
0
Figure 1a shows a system of forces is pulled an object on different directions.

1a) Determine the magnitude and direction of the resultant force for the system of forces shown.


1b) Explain the changes of magnitude and direction of resultant force for the system of forces based on the data in Table 1. Show your changes for each force F2 and F1 .

http://img832.imageshack.us/i/scan0023z.jpg/

That link is the picture for Table 1 and Figure 1a.

Please help. I appreciate your help! Advanced thanks from me!
 
Physics news on Phys.org
BaLTHEBEAST said:

For easy,

(1)First find up the degree respect for horizontal-x.

(2)Find the components-xy for each forces:

(i)Rx=∑Fx=F4cos(90-42)+F3cos(35)+...
(ii)Ry=∑Fy=F4sin(90-42)+F3sin(35)+...

(3)Finally, find the resultant R=√(Rx2+Ry2)

And sketch the diagram for resultant R to find up its angle:

tanθ=Rx/Ry
 
Last edited:

Similar threads

  • · Replies 5 ·
Replies
5
Views
3K
Replies
17
Views
3K
Replies
5
Views
1K
Replies
4
Views
3K
Replies
4
Views
2K
Replies
4
Views
2K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 21 ·
Replies
21
Views
8K
  • · Replies 1 ·
Replies
1
Views
2K