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The maximum and minimum magnitudes of the resultant of two forces are 35 Newton and 5 Newton respectively find the magnitude of resultant force when act orthogonally to each other?
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The maximum and minimum magnitudes of the resultant of two forces are ...
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The maximum and minimum magnitudes of the resultant of two forces are ...
Orthogonal Forces Resultant Magnitude Calculation
1. Given Information:
- Maximum magnitude of resultant force = 35 Newton
- Minimum magnitude of resultant force = 5 Newton
2. Understanding Orthogonal Forces:
- When two forces act orthogonally to each other, their resultant force can be calculated using the Pythagorean theorem.
3. Calculation:
- Let's assume the magnitudes of the two forces are A and B.
- According to the Pythagorean theorem, the magnitude of the resultant force (R) is given by:
R^2 = A^2 + B^2
4. Using Given Information:
- Given that the maximum resultant force magnitude is 35 Newton, we have:
35^2 = A^2 + B^2
- Given that the minimum resultant force magnitude is 5 Newton, we have:
5^2 = A^2 + B^2
5. Solving the Equations:
- By solving the above equations simultaneously, we can find the values of A and B.
- Once we have the values of A and B, we can calculate the magnitude of the resultant force using the Pythagorean theorem.
6. Conclusion:
- By following the above steps and calculations, the magnitude of the resultant force when two forces act orthogonally to each other can be determined.
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The maximum and minimum magnitudes of the resultant of two forces are 35 Newton and 5 Newton respectively find the magnitude of resultant force when act orthogonally to each other?
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