Wrong solution in the book? Calculating force projection.

In summary, the question asks for the projection of the resultant force of F1 and F2 onto the b-axis, but the solution provides the projection of F1 on b-axis plus F2. There is also a question about whether the solution should involve the projection of R, which is 163.4, onto the b-axis and whether the angle between R and the b-axis is needed for this calculation. However, the solution remains the same regardless of the order in which the vectors are added and projected. The second method is easier since all necessary quantities are already known. The projection of F2 onto b-axis is simply F2.
  • #1
bardia sepehrnia
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The question asks to calculate the determine the projection of the resultant force of F1 and F2 onto b-axis. However instead, the solution is a projection of F1 on b axis plus F2. Shouldn't the solution involve the projection of R which is 163.4 on to be axis? and for answering that, don't we need to know the angle between R and the b axis? Or would that give us the same answer?
 

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  • #2
bardia sepehrnia said:
However instead, the solution is a projection of F1 on b axis plus F2. Shouldn't the solution involve the projection of R which is 163.4 on to be axis?
Same thing. A projection is linear, it doesn't matter if you first add the vectors and then take the projection or first take the projections and then add them. The second one is much easier to calculate as you know all relevant quantities already.

The projection of F2 onto b is just F2, of course.
 
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1. What should I do if I find a wrong solution in a book for calculating force projection?

If you come across a wrong solution in a book for calculating force projection, the first step is to double check your calculations and make sure you understand the problem correctly. If you are confident that the book's solution is indeed incorrect, you can reach out to the author or publisher and inform them about the error. You can also consult with other experts in the field or refer to other reliable sources for the correct solution.

2. How can I avoid relying on wrong solutions in books for calculating force projection?

To avoid relying on wrong solutions in books for calculating force projection, it is important to thoroughly understand the concepts and principles behind the calculations. Make sure to cross-reference with multiple sources and consult with other experts in the field. Additionally, you can also try to solve the problem on your own before referring to the book's solution to ensure that you have a solid understanding of the process.

3. What are the potential consequences of using a wrong solution for calculating force projection?

Using a wrong solution for calculating force projection can lead to incorrect results and potentially compromise the accuracy of your scientific findings or experiments. It can also lead to confusion and hinder your understanding of the underlying concepts. It is important to always strive for accuracy and double check your work to avoid any potential consequences.

4. How can I verify the accuracy of a solution for calculating force projection?

One way to verify the accuracy of a solution for calculating force projection is to use the same method or formula to solve the problem and compare your results with the book's solution. You can also consult with other experts in the field or refer to other reliable sources to confirm the correctness of the solution.

5. Is it common to find wrong solutions in books for calculating force projection?

While it is not common, it is not unheard of to find wrong solutions in books for calculating force projection. It is important to remember that books are written by humans and can contain errors. That is why it is always recommended to cross-reference with multiple sources and consult with other experts to ensure the accuracy of the solutions.

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