- #1
soundproof
- 2
- 0
Hi everyone,
This appears to be a trivial question but I'm uncertain to the correct answer.
If I have forces of 3N, 4N and 5N in the x,y and z directions respectively. The resultant force will be the square root of these components squared ≈ 7N. If I want to describe any of the components as a % of the resultant force, how is this done?
I have seen in a journal paper that from my example the z-component of the force is calculated as 71.4% (5/7*100) of the resultant force, while the y-component was 57% of the resultant force. The addition of these percentages is greater than 100% so this cannot be true.
If I calculate the z-component as a % of the resultant force by dividing the squares of each number (5^2/7^2*100), then the addition of each % component sums up to be 100% (x - 18%, y - 32%,z - 51%). Is this method correct and if so can someone explain to me why it is necessary to square both vectors.
Thank you
This appears to be a trivial question but I'm uncertain to the correct answer.
If I have forces of 3N, 4N and 5N in the x,y and z directions respectively. The resultant force will be the square root of these components squared ≈ 7N. If I want to describe any of the components as a % of the resultant force, how is this done?
I have seen in a journal paper that from my example the z-component of the force is calculated as 71.4% (5/7*100) of the resultant force, while the y-component was 57% of the resultant force. The addition of these percentages is greater than 100% so this cannot be true.
If I calculate the z-component as a % of the resultant force by dividing the squares of each number (5^2/7^2*100), then the addition of each % component sums up to be 100% (x - 18%, y - 32%,z - 51%). Is this method correct and if so can someone explain to me why it is necessary to square both vectors.
Thank you