Mechanical Engineering Exam  >  Mechanical Engineering Questions  >  If two forces magnitude F each are acting in ... Start Learning for Free
If two forces magnitude F each are acting in the Cartesian coordinate and are acting at the points A(3,3) and B(-3,3). They are heading towards negative z direction and positive z direction respectively. The distance between them is given as r. The radius vectors of the force at A and B are Ra and Rb respectively. Then the moment is given as:

  • a)
    (Ra-Rb).F

  • b)
     (Rb-Ra).F

  • c)
    (Ra-Rb)xF

  • d)
    (Rb-Ra)xF

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If two forces magnitude F each are acting in the Cartesian coordinate ...
The moment of couple as we know is the cross product of the force and the distance between them. But in this case we are given the radius vectors of the forces. So when we apply the vector maths to find the distance between the forces we get that the distance r = Rb-Ra. Now that we have the distance, we cross it with the force.
View all questions of this test
Most Upvoted Answer
If two forces magnitude F each are acting in the Cartesian coordinate ...
Explanation:

Given Information:
- Magnitude of each force: F
- Points of application: A(3,3) and B(-3,3)
- Directions: Negative z and positive z
- Distance between points: r
- Radius vectors at A and B: Ra and Rb

Calculating Moment:
- The moment of a force about a point is given by the cross product of the radius vector and the force vector.
- Mathematically, moment = r x F
- In this case, the moment is given by (Rb - Ra) x F because the force at B is heading towards the positive z direction, while the force at A is heading towards the negative z direction.
- Therefore, the correct answer is (Rb - Ra) x F.

Conclusion:
- The correct expression for the moment of the forces at points A and B is (Rb - Ra) x F, as the forces are acting in opposite directions along the z-axis.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

If two forces magnitude F each are acting in the Cartesian coordinate and are acting at the points A(3,3) and B(-3,3). They are heading towards negative z direction and positive z direction respectively. The distance between them is given as r. The radius vectors of the force at A and B are Ra and Rb respectively. Then the moment is given as:a)(Ra-Rb).Fb)(Rb-Ra).Fc)(Ra-Rb)xFd)(Rb-Ra)xFCorrect answer is option 'D'. Can you explain this answer?
Question Description
If two forces magnitude F each are acting in the Cartesian coordinate and are acting at the points A(3,3) and B(-3,3). They are heading towards negative z direction and positive z direction respectively. The distance between them is given as r. The radius vectors of the force at A and B are Ra and Rb respectively. Then the moment is given as:a)(Ra-Rb).Fb)(Rb-Ra).Fc)(Ra-Rb)xFd)(Rb-Ra)xFCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about If two forces magnitude F each are acting in the Cartesian coordinate and are acting at the points A(3,3) and B(-3,3). They are heading towards negative z direction and positive z direction respectively. The distance between them is given as r. The radius vectors of the force at A and B are Ra and Rb respectively. Then the moment is given as:a)(Ra-Rb).Fb)(Rb-Ra).Fc)(Ra-Rb)xFd)(Rb-Ra)xFCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If two forces magnitude F each are acting in the Cartesian coordinate and are acting at the points A(3,3) and B(-3,3). They are heading towards negative z direction and positive z direction respectively. The distance between them is given as r. The radius vectors of the force at A and B are Ra and Rb respectively. Then the moment is given as:a)(Ra-Rb).Fb)(Rb-Ra).Fc)(Ra-Rb)xFd)(Rb-Ra)xFCorrect answer is option 'D'. Can you explain this answer?.
Solutions for If two forces magnitude F each are acting in the Cartesian coordinate and are acting at the points A(3,3) and B(-3,3). They are heading towards negative z direction and positive z direction respectively. The distance between them is given as r. The radius vectors of the force at A and B are Ra and Rb respectively. Then the moment is given as:a)(Ra-Rb).Fb)(Rb-Ra).Fc)(Ra-Rb)xFd)(Rb-Ra)xFCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of If two forces magnitude F each are acting in the Cartesian coordinate and are acting at the points A(3,3) and B(-3,3). They are heading towards negative z direction and positive z direction respectively. The distance between them is given as r. The radius vectors of the force at A and B are Ra and Rb respectively. Then the moment is given as:a)(Ra-Rb).Fb)(Rb-Ra).Fc)(Ra-Rb)xFd)(Rb-Ra)xFCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If two forces magnitude F each are acting in the Cartesian coordinate and are acting at the points A(3,3) and B(-3,3). They are heading towards negative z direction and positive z direction respectively. The distance between them is given as r. The radius vectors of the force at A and B are Ra and Rb respectively. Then the moment is given as:a)(Ra-Rb).Fb)(Rb-Ra).Fc)(Ra-Rb)xFd)(Rb-Ra)xFCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for If two forces magnitude F each are acting in the Cartesian coordinate and are acting at the points A(3,3) and B(-3,3). They are heading towards negative z direction and positive z direction respectively. The distance between them is given as r. The radius vectors of the force at A and B are Ra and Rb respectively. Then the moment is given as:a)(Ra-Rb).Fb)(Rb-Ra).Fc)(Ra-Rb)xFd)(Rb-Ra)xFCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of If two forces magnitude F each are acting in the Cartesian coordinate and are acting at the points A(3,3) and B(-3,3). They are heading towards negative z direction and positive z direction respectively. The distance between them is given as r. The radius vectors of the force at A and B are Ra and Rb respectively. Then the moment is given as:a)(Ra-Rb).Fb)(Rb-Ra).Fc)(Ra-Rb)xFd)(Rb-Ra)xFCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If two forces magnitude F each are acting in the Cartesian coordinate and are acting at the points A(3,3) and B(-3,3). They are heading towards negative z direction and positive z direction respectively. The distance between them is given as r. The radius vectors of the force at A and B are Ra and Rb respectively. Then the moment is given as:a)(Ra-Rb).Fb)(Rb-Ra).Fc)(Ra-Rb)xFd)(Rb-Ra)xFCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev