Solving Force and Vector Problems: Tips and Examples

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In summary, the conversation discusses a problem involving the forces of F1, F2, and F3. The first person sets the sum of the x and y components of the forces to 0 and calculates the magnitude and direction of F3 to be 78.1 N and 146.3 degrees counterclockwise from the x-axis. However, the second person points out that the angle and x-component seem incorrect and suggests redoing the calculation. The third person agrees with the second person's assessment.
  • #1
elitespart
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Well I just set the sum of x and y components equal to 0 and got: force 3 = -65N in x and 43.3N in y which gave me a magnitude of 78.1 N and 146.3 degrees counterclockwise from x-axis. Right? Wrong? Thanks for your help.
 
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  • #2
Doesn't look right. I checked the vertical part - F1 has 25 N down. F3 should have 25 N up but, according to your answer, has 78.1*cos(146.3-90) = 43N up.
 
  • #3
No, I don't think it's entierly correct.. I got my doubts first when it came to your angle - if you mean from the x-axis to the right (if you understand what I mean, I don't know the terminology at the moment), F3 is in the second quadrant, and if it's from the other x-axis, so to speak, it's in the fourth and neither make much sense.

I've been thinking for a while and it's your x-component that's wrong.. It's not supposed to be -65. It's supposed to be F2 - F1X, right? Redo this step.

Edit: Nah, the vertical's correct. The vertical is = F3 * sinθ, not cosθ. (In reply to what Delphi51 said (; )
 

FAQ: Solving Force and Vector Problems: Tips and Examples

What is a force?

A force is a measurable influence that can cause an object to accelerate, change direction, or deform. It is typically represented by a vector, which has both magnitude and direction.

What is a vector?

A vector is a mathematical quantity that has both magnitude and direction. It is represented by an arrow, with the length of the arrow representing the magnitude and the direction of the arrow representing the direction.

How is force related to vectors?

Force is a vector quantity, meaning it has both magnitude and direction. This means that force can be represented by a vector, with the magnitude representing the strength of the force and the direction representing the direction in which the force is acting.

What is the difference between a scalar and a vector?

A scalar is a quantity that has only magnitude, while a vector has both magnitude and direction. Examples of scalars include temperature, mass, and time, while examples of vectors include displacement, velocity, and force.

How do you solve force/vector problems?

To solve a force/vector problem, you must first identify all the forces acting on the object and their directions. Then, use vector addition to find the resultant force, which is the total force acting on the object. Finally, use Newton's second law of motion, F = ma, to determine the acceleration of the object.

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