Solving Forces: Balancing Force with -43.6°

In summary, solving forces and balancing force with -43.6° is used to determine the net force and ensure equilibrium for an object. To calculate the net force, forces must be broken down into horizontal and vertical components and trigonometric functions are used. A -43.6° angle signifies a force acting at an angle below the horizontal axis and equilibrium is achieved when the net force is zero. The angle can change in a force calculation if the direction of forces change, but will remain the same if the magnitude and direction of forces stay constant.
  • #1
mchei
7
0

Homework Statement



RZiwx.png


The Attempt at a Solution


define RHS as +ve
in a part, i have calculared that force by conveyor is +1.962N

in b part,
Aer7X.png

then, to balance force, 4.91sin@+1.962=1.962cos@ => @=-43.6'
i an confused about the negative sign... what is my problem?
 
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  • #2
Your free body diagram is missing a normal force due to the belt
 
  • #3
JaWiB said:
Your free body diagram is missing a normal force due to the belt

that's true, thx
 
  • #4
help =[
 
  • #5


The negative sign in this problem indicates that the force is acting in the opposite direction as the force you calculated in part a. This means that the force by the conveyor is acting in the negative direction, while the force needed to balance it is acting in the positive direction. This is important to consider when solving problems involving forces, as it affects the direction and magnitude of the resulting forces. It is important to carefully consider the signs and directions of forces when solving problems in order to accurately balance them.
 

FAQ: Solving Forces: Balancing Force with -43.6°

1.

What is the purpose of solving forces and balancing force with -43.6°?

The purpose of solving forces and balancing force with -43.6° is to determine the net force acting on an object when multiple forces are present, and to ensure that the object is in equilibrium (i.e. not accelerating).

2.

How do you calculate the net force with a -43.6° angle?

To calculate the net force with a -43.6° angle, you will need to break down the forces into their horizontal and vertical components. Then, use trigonometric functions (such as sine and cosine) to find the magnitude and direction of each component. Finally, add all the horizontal components together and all the vertical components together to find the net force in both magnitude and direction.

3.

What does a -43.6° angle signify in terms of force?

A -43.6° angle signifies that the force is acting at an angle of 43.6° below the horizontal axis. This means that the force has both a horizontal and vertical component, and it is important to consider both components when calculating the net force.

4.

How do you know if an object is in equilibrium with a -43.6° angle?

An object is in equilibrium when the net force acting on it is zero. With a -43.6° angle, this means that the horizontal and vertical components of the forces must cancel each other out, resulting in a net force of zero. You can also check if an object is in equilibrium by ensuring that its acceleration is zero.

5.

Can the angle of -43.6° ever change in a force calculation?

Yes, the angle of -43.6° can change in a force calculation if the direction of one or more forces changes. In this case, you will need to recalculate the horizontal and vertical components and then find the new net force with the updated angles. However, if the magnitude and direction of all the forces remain constant, then the angle of -43.6° will remain the same.

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