Calculating Force Vectors: Magnitude, Direction, and Resultant, Study notes of Physics

A lab activity where students calculate the magnitude, direction, and component vectors of given force vectors a and b, as well as the resultant force. The activity involves drawing free body diagrams and solving for component forces using basic vector addition. The document also includes a problem involving forces g and h and their resultant.

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2021/2022

Uploaded on 08/05/2022

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Activity 2.1.1 Calculating Force Vectors
Introduction
If guy wires are used to stabilize a tower, what is the minimum number of wires necessary?
Imagine what would happen if you only used one or two wires. The guy wires work together so
that the tower does not fall in any direction. As long as there are no external forces, each of the
wires should be experiencing an equal amount of tension. The tension in each guy wire can be
expressed as a vector force. It is important that values are given for each force so that
engineers can make informed decisions about the necessary strength of guy wires and their
support mechanisms.
Procedure
In this activity you will calculate force vectors.
5. What is the magnitude of vector B?
6. What is the direction of vector B relative to the X axis?
7. What is the sense of vector B?
8. What directions will BX and BY (the component vectors of B)
be going? How does this relate to the sense of B?
1. What is the magnitude of vector A?
2. What is the direction of vector A relative to the X axis?
3. What is the sense of vector A?
4. What directions will AX and AY (the component vectors of
A) be going? How does this relate to the sense of A?
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Activity 2.1.1 Calculating Force Vectors

Introduction

If guy wires are used to stabilize a tower, what is the minimum number of wires necessary? Imagine what would happen if you only used one or two wires. The guy wires work together so that the tower does not fall in any direction. As long as there are no external forces, each of the wires should be experiencing an equal amount of tension. The tension in each guy wire can be expressed as a vector force. It is important that values are given for each force so that engineers can make informed decisions about the necessary strength of guy wires and their support mechanisms.

Procedure

In this activity you will calculate force vectors.

  1. What is the magnitude of vector B?
  2. What is the direction of vector B relative to the X axis?
  3. What is the sense of vector B?
  4. What directions will BX and B (^) Y (the component vectors of B) be going? How does this relate to the sense of B?
  5. What is the magnitude of vector A?
  6. What is the direction of vector A relative to the X axis?
  7. What is the sense of vector A?
  8. What directions will AX and A (^) Y (the component vectors of A) be going? How does this relate to the sense of A?

A picture is hung from a nail with wire. The nail supports two forces A = 5N and B = 5N.

  1. Draw a free body diagram illustrating the X and Y components of vector A and B. Then find the magnitude of the component vectors, i.e. solve for component forces.
  2. Calculate the resultant force (F (^) R) by summing the X and Y components of vectors A and B. Sum FX = AX + BX Sum FY = AY + B (^) Y

An eye screw is experiencing two tension forces G 100N and H 50N.

  1. Draw a diagram illustrating the X and Y components of vector G and H. (Solve for component forces and add them together.)
  2. Calculate the resultant force (F (^) R) by summing the X and Y components of vectors G and H. Sum FX = F (^) GX + F (^) HX Sum F (^) Y = F (^) GY + F (^) HY

Conclusion

  1. Describe the relationship between force vectors and X and Y component vectors.
  2. If you and someone else are pulling an object and both of you are 25° from the X axis (top view drawing to the right). How could you reduce the amount of force each of you must exert?