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The parallel axis theorem can add any angle varied moment of inertias to give the perpendicular moment of inertia.
- a)True
- b)False
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The parallel axis theorem can add any angle varied moment of inertias ...
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.
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The parallel axis theorem can add any angle varied moment of inertias ...
Explanation:
Parallel Axis Theorem:
- The parallel axis theorem states that the moment of inertia of a rigid body about any axis parallel to an axis through the center of mass is equal to the sum of the moment of inertia about the center of mass and the product of the mass of the body and the square of the perpendicular distance between the two axes.
Adding Moment of Inertias:
- The parallel axis theorem allows us to add the moment of inertia of a rigid body about different axes to obtain the moment of inertia about a perpendicular axis passing through the center of mass.
- However, the theorem does not directly add any angle varied moment of inertias to give the perpendicular moment of inertia. It only deals with adding moments of inertia about parallel axes.
Correct Answer:
- Therefore, the statement that the parallel axis theorem can add any angle varied moment of inertias to give the perpendicular moment of inertia is false.
Conclusion:
- It is important to understand the limitations and applications of the parallel axis theorem in calculating moments of inertia for rigid bodies. While it is a powerful tool for simplifying calculations, it has specific rules and conditions that must be followed.
Parallel Axis Theorem:
- The parallel axis theorem states that the moment of inertia of a rigid body about any axis parallel to an axis through the center of mass is equal to the sum of the moment of inertia about the center of mass and the product of the mass of the body and the square of the perpendicular distance between the two axes.
Adding Moment of Inertias:
- The parallel axis theorem allows us to add the moment of inertia of a rigid body about different axes to obtain the moment of inertia about a perpendicular axis passing through the center of mass.
- However, the theorem does not directly add any angle varied moment of inertias to give the perpendicular moment of inertia. It only deals with adding moments of inertia about parallel axes.
Correct Answer:
- Therefore, the statement that the parallel axis theorem can add any angle varied moment of inertias to give the perpendicular moment of inertia is false.
Conclusion:
- It is important to understand the limitations and applications of the parallel axis theorem in calculating moments of inertia for rigid bodies. While it is a powerful tool for simplifying calculations, it has specific rules and conditions that must be followed.
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The parallel axis theorem can add any angle varied moment of inertias to give the perpendicular moment of inertia.a)Trueb)FalseCorrect answer is option 'B'. Can you explain this answer?
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