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If three vectors of equal magnitudes 5N and they are inclined with each other at an angle of 120degrees.Then find the magnitude of the resultant vector.?
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If three vectors of equal magnitudes 5N and they are inclined with eac...
Given Information:
- Magnitude of each vector = 5N
- Angle between each vector = 120 degrees
Finding the Resultant Vector:
Step 1: Finding the Components of the Vectors
- Let's assume the vectors are A, B, and C.
- The components of each vector in the x-direction will be 5 * cos(120) = -2.5N.
- The components of each vector in the y-direction will be 5 * sin(120) = 4.33N.
Step 2: Summing the Components
- Summing the x-components of the vectors, we get -2.5N + (-2.5N) + (-2.5N) = -7.5N.
- Summing the y-components of the vectors, we get 4.33N + 4.33N + 4.33N = 12.99N.
Step 3: Finding the Resultant Vector
- Using the components calculated above (-7.5N, 12.99N), we can find the magnitude of the resultant vector using Pythagoras theorem.
- Magnitude of the resultant vector = sqrt((-7.5)^2 + (12.99)^2) = sqrt(56.25 + 168.53) = sqrt(224.78) = 14.99N.
Therefore, the magnitude of the resultant vector when three vectors of equal magnitudes 5N are inclined with each other at an angle of 120 degrees is 14.99N.
- Magnitude of each vector = 5N
- Angle between each vector = 120 degrees
Finding the Resultant Vector:
Step 1: Finding the Components of the Vectors
- Let's assume the vectors are A, B, and C.
- The components of each vector in the x-direction will be 5 * cos(120) = -2.5N.
- The components of each vector in the y-direction will be 5 * sin(120) = 4.33N.
Step 2: Summing the Components
- Summing the x-components of the vectors, we get -2.5N + (-2.5N) + (-2.5N) = -7.5N.
- Summing the y-components of the vectors, we get 4.33N + 4.33N + 4.33N = 12.99N.
Step 3: Finding the Resultant Vector
- Using the components calculated above (-7.5N, 12.99N), we can find the magnitude of the resultant vector using Pythagoras theorem.
- Magnitude of the resultant vector = sqrt((-7.5)^2 + (12.99)^2) = sqrt(56.25 + 168.53) = sqrt(224.78) = 14.99N.
Therefore, the magnitude of the resultant vector when three vectors of equal magnitudes 5N are inclined with each other at an angle of 120 degrees is 14.99N.
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If three vectors of equal magnitudes 5N and they are inclined with each other at an angle of 120degrees.Then find the magnitude of the resultant vector.?
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If three vectors of equal magnitudes 5N and they are inclined with each other at an angle of 120degrees.Then find the magnitude of the resultant vector.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If three vectors of equal magnitudes 5N and they are inclined with each other at an angle of 120degrees.Then find the magnitude of the resultant vector.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If three vectors of equal magnitudes 5N and they are inclined with each other at an angle of 120degrees.Then find the magnitude of the resultant vector.?.
If three vectors of equal magnitudes 5N and they are inclined with each other at an angle of 120degrees.Then find the magnitude of the resultant vector.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If three vectors of equal magnitudes 5N and they are inclined with each other at an angle of 120degrees.Then find the magnitude of the resultant vector.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If three vectors of equal magnitudes 5N and they are inclined with each other at an angle of 120degrees.Then find the magnitude of the resultant vector.?.
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