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Two forces each equal to F theta is 60 degrees , their resultant is?
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Two forces each equal to F theta is 60 degrees , their resultant is?
Calculation of Resultant Force of Two Forces at 60 degrees
Given Information
- Two forces each equal to F
- The angle between the forces is 60 degrees
Step-by-Step Solution
- First, find the horizontal and vertical components of each force:
- The horizontal component of F is F cos 60 degrees = 0.5F
- The vertical component of F is F sin 60 degrees = (sqrt(3)/2)F
- Next, find the horizontal and vertical components of the other force:
- The horizontal component of F is F cos 60 degrees = 0.5F
- The vertical component of F is -F sin 60 degrees = -(sqrt(3)/2)F
- Add the horizontal and vertical components of each force separately:
- Horizontal component = 0.5F + 0.5F = F
- Vertical component = (sqrt(3)/2)F - (sqrt(3)/2)F = 0
- Using the Pythagorean theorem, find the magnitude of the resultant force:
- Magnitude of the resultant force = sqrt((F)^2 + (0)^2) = F
- Find the angle of the resultant force:
- The angle of the resultant force is tan inverse (0/F) = 0 degrees
- The resultant force is F and its direction is horizontal.
Conclusion
- The resultant force of two forces each equal to F at 60 degrees is F, and its direction is horizontal.
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Two forces each equal to F theta is 60 degrees , their resultant is?
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Two forces each equal to F theta is 60 degrees , their resultant is? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two forces each equal to F theta is 60 degrees , their resultant is? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two forces each equal to F theta is 60 degrees , their resultant is?.
Two forces each equal to F theta is 60 degrees , their resultant is? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two forces each equal to F theta is 60 degrees , their resultant is? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two forces each equal to F theta is 60 degrees , their resultant is?.
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