Forces - calculating the net force

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Homework Help Overview

The discussion revolves around calculating the net force from two forces acting at an angle, involving vector representation and the cosine law. Participants are exploring the relationships between the forces and their angles in a two-dimensional context.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants are attempting to apply the cosine law to find the resultant force and are discussing the angles involved in the problem. There are questions about the correct angles to use and how to resolve the forces into components.

Discussion Status

There is ongoing exploration of the angles and methods to calculate the net force. Some participants have provided guidance on using vector representation and resolving components, while others are clarifying misunderstandings about the angles involved.

Contextual Notes

Participants are required to follow a specific method outlined in their lesson, which emphasizes the use of the cosine law, despite some suggesting alternative approaches. There is confusion regarding the angles derived from the diagram and how they relate to the forces being analyzed.

  • #31
alexandria said:
@The Vinh
i am aware that using Coordinates system axis is easier, however the lesson that i am doing requires that i learn their method, and it involves the cosine law etc..
they don't provide any other ways to solve and they are expecting me to solve it using their method.
Oh, ok, so if you must use it then magnitude and angle are easy to find but the real problem is the direction of net force.
 
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  • #32
Oh and you have a really " cool " teacher
 
  • #33
alexandria said:
what do you mean?
You quote the sine formula, but you did not say which angle in the picture is the A in the formula.
It needs to be opposite the side you divide the sine by.
Which angle do you need to find to answer the question?
 
  • #34
@haruspex
upload_2016-3-14_23-56-56.png

This was the previous diagram i had made, it forms a triangle instead of a parallelogram. I labelled angle A .
SinA / 38.0 N = Sin55° /32.9 N
 
  • #35
alexandria said:
SinA / 38.0 N = Sin55° /32.9 N
Yes, that looks good.
 
  • #36
Ok so here is my final answer38.

c = (a^2 + b^2 – 2abcosC) ½

c = ([32.0 N]^2 + [38.0 N]^2 - 2[32.0 N] x [38.0 N]cos55°) ½

c = 32.9 NSinA/a = SinB/b = SinC/c

SinA / 38.0 N = Sin55° /32.9 N

A = 72 degrees (approx.)

net force = 32.9 N (North 72 degrees East)

does this look right?
 
  • #37
alexandria said:
(North 72 degrees East)
Draw that direction on your diagram. Does it look right?
 
  • #38
is the correct direction (East 72 degrees North)
 
  • #39
alexandria said:
is the correct direction (East 72 degrees North)
I didn't say your answer was wrong, just asked if it looked reasonable. You should always check that where possible.
 
  • #40
oh, ok, so i based the direction of this diagram.
upload_2016-3-15_0-37-51.png

the force is pulling the object 72 degrees east of north
 
  • #41
alexandria said:
oh, ok, so i based the direction of this diagram.
View attachment 97361
the force is pulling the object 72 degrees east of north
Ok!
 
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Likes   Reactions: CAT 2
  • #42
thank you so much for your help, i really appreciate it :)
 

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