UPSC Exam > UPSC Questions > If three vectors of equal magnitudes 5N and t...
Start Learning for Free
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.?
Most Upvoted Answer
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.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
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.?
Question Description
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.?.
Solutions 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.? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of 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.? defined & explained in the simplest way possible. Besides giving the explanation of
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.?, a detailed solution 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.? has been provided alongside types of 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.? theory, EduRev gives you an
ample number of questions to practice 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.? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup