Resultant Force: Calculating Forces with Trigonometry for a 800N and 600N Object

In summary, the conversation discusses a problem with calculating the net force of two given forces, 800N and 600N. The conversation suggests two methods for finding the net force: drawing a parallelogram of forces or completing a conversion to vectors. The solution is found to be approximately 721.1N, but it is recommended to double check the calculations for accuracy.
  • #1
Jud
12
0
I'm sure this problem is pretty trivial to most but apologies in advance, I'm just starting out sorry.

Homework Statement


F2-3.jpg


I'm not sure how to go about working this out due to the 800N

The Attempt at a Solution



F1 (800N) x-pos = 800 tan (90)?? , y-pos = ?
F2 (600N) x-pos = 600 cos(30) , y-pos = -600 sin(30)

Homework Statement

 
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  • #2
You can draw the parallelogram of forces, and the diagonal length (from your starting point) is the net force.

Or you can complete their conversion to vectors; F1 = 800 j, where j is the unit vector in the y-direction. Your F2 looks correct ... so now add them together!
 
  • #3
UltrafastPED said:
You can draw the parallelogram of forces, and the diagonal length (from your starting point) is the net force.

Or you can complete their conversion to vectors; F1 = 800 j, where j is the unit vector in the y-direction. Your F2 looks correct ... so now add them together!

so,

F1 (800N) x-pos = 0 , y-pos = 800
F2 (600N) x-pos = 600 cos(30) , y-pos = -600 sin (30)

sqrt (519.615)^2 + (500)^2 = 721.1 N

is that correct?
 
  • #4
It's certainly in the correct range ... if you are unsure you should recheck your calculations.
 
  • #5
UltrafastPED said:
It's certainly in the correct range ... if you are unsure you should recheck your calculations.

Ok Thank you for the help, greatly appreciated.
 

FAQ: Resultant Force: Calculating Forces with Trigonometry for a 800N and 600N Object

What is the definition of resultant force?

Resultant force is the overall force acting on an object, taking into account the magnitude and direction of all individual forces acting on that object.

How is resultant force calculated?

Resultant force is calculated by finding the vector sum of all individual forces acting on an object. This can be done using the Pythagorean theorem to find the magnitude and trigonometric functions to find the direction.

What is the difference between resultant force and net force?

Resultant force is a single vector representing the overall force acting on an object, while net force is the sum of all forces acting on an object in a specific direction. Net force can be positive, negative, or zero, while resultant force is always a single vector.

How does resultant force affect an object's motion?

Resultant force determines the acceleration of an object according to Newton's second law of motion, F=ma. The direction of the resultant force will determine the direction of the object's acceleration.

Can resultant force be zero?

Yes, if all individual forces acting on an object cancel each other out, the resultant force will be zero. This means that the object will either remain at rest or continue moving at a constant velocity.

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