Mechanical Engineering Exam > Mechanical Engineering Questions > The parallel axis theorem gives the moment of...
Start Learning for Free
The parallel axis theorem gives the moment of inertia ______________ to the surface of considerance.
- a)Linear
- b)Non-Linear
- c)Perpendicular
- d)Parallel
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The parallel axis theorem gives the moment of inertia ______________ t...
Parallel axis for any area is used to add the two mutually perpendicular moment of inertias for areas. It gives a moment of inertia perpendicular to the surface of the body. That is the moment of inertia perpendicular to the surface in considerance.
Most Upvoted Answer
The parallel axis theorem gives the moment of inertia ______________ t...
The Parallel Axis Theorem
The parallel axis theorem is a principle in physics that relates the moment of inertia of an object about an axis to its moment of inertia about a parallel axis. It states that the moment of inertia about an axis parallel to an axis through the center of mass is equal to the moment of inertia about the center of mass plus the product of the mass of the object and the square of the distance between the two axes.
Explanation of the Answer
The correct answer to the question is option 'C': Perpendicular.
The parallel axis theorem states that the moment of inertia about an axis parallel to an axis through the center of mass is equal to the moment of inertia about the center of mass plus the product of the mass of the object and the square of the distance between the two axes.
When we consider the surface of consideration, it means that we are choosing a particular axis to calculate the moment of inertia. The parallel axis theorem tells us that the moment of inertia about a parallel axis is equal to the moment of inertia about the center of mass plus the product of the mass and the square of the distance between the two axes.
In this case, the surface of consideration is perpendicular to the axis through the center of mass. This means that the two axes are perpendicular to each other. According to the parallel axis theorem, the moment of inertia about the perpendicular axis is equal to the moment of inertia about the center of mass plus the product of the mass and the square of the distance between the two axes.
Therefore, the moment of inertia is perpendicular to the surface of consideration.
Summary
- The parallel axis theorem relates the moment of inertia of an object about an axis to its moment of inertia about a parallel axis.
- The moment of inertia about a parallel axis is equal to the moment of inertia about the center of mass plus the product of the mass and the square of the distance between the two axes.
- In the case of the surface of consideration being perpendicular to the axis through the center of mass, the moment of inertia is perpendicular to the surface of consideration.
The parallel axis theorem is a principle in physics that relates the moment of inertia of an object about an axis to its moment of inertia about a parallel axis. It states that the moment of inertia about an axis parallel to an axis through the center of mass is equal to the moment of inertia about the center of mass plus the product of the mass of the object and the square of the distance between the two axes.
Explanation of the Answer
The correct answer to the question is option 'C': Perpendicular.
The parallel axis theorem states that the moment of inertia about an axis parallel to an axis through the center of mass is equal to the moment of inertia about the center of mass plus the product of the mass of the object and the square of the distance between the two axes.
When we consider the surface of consideration, it means that we are choosing a particular axis to calculate the moment of inertia. The parallel axis theorem tells us that the moment of inertia about a parallel axis is equal to the moment of inertia about the center of mass plus the product of the mass and the square of the distance between the two axes.
In this case, the surface of consideration is perpendicular to the axis through the center of mass. This means that the two axes are perpendicular to each other. According to the parallel axis theorem, the moment of inertia about the perpendicular axis is equal to the moment of inertia about the center of mass plus the product of the mass and the square of the distance between the two axes.
Therefore, the moment of inertia is perpendicular to the surface of consideration.
Summary
- The parallel axis theorem relates the moment of inertia of an object about an axis to its moment of inertia about a parallel axis.
- The moment of inertia about a parallel axis is equal to the moment of inertia about the center of mass plus the product of the mass and the square of the distance between the two axes.
- In the case of the surface of consideration being perpendicular to the axis through the center of mass, the moment of inertia is perpendicular to the surface of consideration.
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
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
The parallel axis theorem gives the moment of inertia ______________ to the surface of considerance.a)Linearb)Non-Linearc)Perpendiculard)ParallelCorrect answer is option 'C'. Can you explain this answer?
Question Description
The parallel axis theorem gives the moment of inertia ______________ to the surface of considerance.a)Linearb)Non-Linearc)Perpendiculard)ParallelCorrect answer is option 'C'. 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 The parallel axis theorem gives the moment of inertia ______________ to the surface of considerance.a)Linearb)Non-Linearc)Perpendiculard)ParallelCorrect answer is option 'C'. 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 The parallel axis theorem gives the moment of inertia ______________ to the surface of considerance.a)Linearb)Non-Linearc)Perpendiculard)ParallelCorrect answer is option 'C'. Can you explain this answer?.
The parallel axis theorem gives the moment of inertia ______________ to the surface of considerance.a)Linearb)Non-Linearc)Perpendiculard)ParallelCorrect answer is option 'C'. 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 The parallel axis theorem gives the moment of inertia ______________ to the surface of considerance.a)Linearb)Non-Linearc)Perpendiculard)ParallelCorrect answer is option 'C'. 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 The parallel axis theorem gives the moment of inertia ______________ to the surface of considerance.a)Linearb)Non-Linearc)Perpendiculard)ParallelCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The parallel axis theorem gives the moment of inertia ______________ to the surface of considerance.a)Linearb)Non-Linearc)Perpendiculard)ParallelCorrect answer is option 'C'. 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 The parallel axis theorem gives the moment of inertia ______________ to the surface of considerance.a)Linearb)Non-Linearc)Perpendiculard)ParallelCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The parallel axis theorem gives the moment of inertia ______________ to the surface of considerance.a)Linearb)Non-Linearc)Perpendiculard)ParallelCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The parallel axis theorem gives the moment of inertia ______________ to the surface of considerance.a)Linearb)Non-Linearc)Perpendiculard)ParallelCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The parallel axis theorem gives the moment of inertia ______________ to the surface of considerance.a)Linearb)Non-Linearc)Perpendiculard)ParallelCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The parallel axis theorem gives the moment of inertia ______________ to the surface of considerance.a)Linearb)Non-Linearc)Perpendiculard)ParallelCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
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