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If the non-Uniform loading is of the type of parabola then for calculating the moment of inertia for areas?
- a)The net load will not be formed as all the forces will be cancelled
- b)The net force will act the centre of the parabola
- c)The net force will act on the base of the loading horizontally
- d)The net force will act at the centroid of the parabola
Correct answer is option 'D'. Can you explain this answer?
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If the non-Uniform loading is of the type of parabola then for calcula...
The net force will act at the centroid of the parabola. Whether it be a parabola or the cubic curve the centroid is the only point at which the net force act. Force can’t be acted horizontally if the loading is vertical. Hence whatever be the shape of the loading, the centroid is the point of action of net force. Thus the use of centroid.
Most Upvoted Answer
If the non-Uniform loading is of the type of parabola then for calcula...
The correct answer is option 'D': The net force will act at the centroid of the parabola.
- The moment of inertia is a property of an object that describes how its mass is distributed around an axis of rotation. It is an important parameter in determining the object's resistance to changes in rotational motion.
- When dealing with non-uniform loading, the moment of inertia needs to be calculated by considering the distribution of forces or loads along the object.
- In this case, if the non-uniform loading is of the type of a parabola, the shape of the loading follows a specific curve.
Explanation:
1. Net force and centroid:
- The centroid is a geometric property of a shape that represents the average position of all the points in the shape.
- In the case of a parabola, the centroid is located at the center of mass of the parabolic shape.
- The net force acting on the parabola will be equal to the area under the parabolic loading curve, as the force at each point is proportional to the height of the curve.
- The centroid of the parabola will be the point where the net force acts.
2. Moment of inertia calculation:
- The moment of inertia for a non-uniformly loaded shape is calculated by integrating the product of the area element and the square of the distance from the axis of rotation.
- For a parabolic loading, the moment of inertia calculation can be simplified by using the parallel axis theorem.
- The parallel axis theorem states that the moment of inertia about an axis parallel to and a distance 'd' away from an axis passing through the centroid is equal to the moment of inertia about the centroid plus the product of the area and the square of the distance 'd'.
- Since the net force acts at the centroid of the parabola, the moment of inertia calculation can be simplified by considering the moment of inertia about the centroid only.
In conclusion, when the non-uniform loading is of the type of a parabola, the net force will act at the centroid of the parabola. This simplifies the calculation of the moment of inertia, as only the moment of inertia about the centroid needs to be considered.
- The moment of inertia is a property of an object that describes how its mass is distributed around an axis of rotation. It is an important parameter in determining the object's resistance to changes in rotational motion.
- When dealing with non-uniform loading, the moment of inertia needs to be calculated by considering the distribution of forces or loads along the object.
- In this case, if the non-uniform loading is of the type of a parabola, the shape of the loading follows a specific curve.
Explanation:
1. Net force and centroid:
- The centroid is a geometric property of a shape that represents the average position of all the points in the shape.
- In the case of a parabola, the centroid is located at the center of mass of the parabolic shape.
- The net force acting on the parabola will be equal to the area under the parabolic loading curve, as the force at each point is proportional to the height of the curve.
- The centroid of the parabola will be the point where the net force acts.
2. Moment of inertia calculation:
- The moment of inertia for a non-uniformly loaded shape is calculated by integrating the product of the area element and the square of the distance from the axis of rotation.
- For a parabolic loading, the moment of inertia calculation can be simplified by using the parallel axis theorem.
- The parallel axis theorem states that the moment of inertia about an axis parallel to and a distance 'd' away from an axis passing through the centroid is equal to the moment of inertia about the centroid plus the product of the area and the square of the distance 'd'.
- Since the net force acts at the centroid of the parabola, the moment of inertia calculation can be simplified by considering the moment of inertia about the centroid only.
In conclusion, when the non-uniform loading is of the type of a parabola, the net force will act at the centroid of the parabola. This simplifies the calculation of the moment of inertia, as only the moment of inertia about the centroid needs to be considered.
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If the non-Uniform loading is of the type of parabola then for calculating the moment of inertia for areas?a)The net load will not be formed as all the forces will be cancelledb)The net force will act the centre of the parabolac)The net force will act on the base of the loading horizontallyd)The net force will act at the centroid of the parabolaCorrect answer is option 'D'. Can you explain this answer?
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If the non-Uniform loading is of the type of parabola then for calculating the moment of inertia for areas?a)The net load will not be formed as all the forces will be cancelledb)The net force will act the centre of the parabolac)The net force will act on the base of the loading horizontallyd)The net force will act at the centroid of the parabolaCorrect 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 the non-Uniform loading is of the type of parabola then for calculating the moment of inertia for areas?a)The net load will not be formed as all the forces will be cancelledb)The net force will act the centre of the parabolac)The net force will act on the base of the loading horizontallyd)The net force will act at the centroid of the parabolaCorrect 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 the non-Uniform loading is of the type of parabola then for calculating the moment of inertia for areas?a)The net load will not be formed as all the forces will be cancelledb)The net force will act the centre of the parabolac)The net force will act on the base of the loading horizontallyd)The net force will act at the centroid of the parabolaCorrect answer is option 'D'. Can you explain this answer?.
If the non-Uniform loading is of the type of parabola then for calculating the moment of inertia for areas?a)The net load will not be formed as all the forces will be cancelledb)The net force will act the centre of the parabolac)The net force will act on the base of the loading horizontallyd)The net force will act at the centroid of the parabolaCorrect 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 the non-Uniform loading is of the type of parabola then for calculating the moment of inertia for areas?a)The net load will not be formed as all the forces will be cancelledb)The net force will act the centre of the parabolac)The net force will act on the base of the loading horizontallyd)The net force will act at the centroid of the parabolaCorrect 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 the non-Uniform loading is of the type of parabola then for calculating the moment of inertia for areas?a)The net load will not be formed as all the forces will be cancelledb)The net force will act the centre of the parabolac)The net force will act on the base of the loading horizontallyd)The net force will act at the centroid of the parabolaCorrect answer is option 'D'. Can you explain this answer?.
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If the non-Uniform loading is of the type of parabola then for calculating the moment of inertia for areas?a)The net load will not be formed as all the forces will be cancelledb)The net force will act the centre of the parabolac)The net force will act on the base of the loading horizontallyd)The net force will act at the centroid of the parabolaCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for If the non-Uniform loading is of the type of parabola then for calculating the moment of inertia for areas?a)The net load will not be formed as all the forces will be cancelledb)The net force will act the centre of the parabolac)The net force will act on the base of the loading horizontallyd)The net force will act at the centroid of the parabolaCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of If the non-Uniform loading is of the type of parabola then for calculating the moment of inertia for areas?a)The net load will not be formed as all the forces will be cancelledb)The net force will act the centre of the parabolac)The net force will act on the base of the loading horizontallyd)The net force will act at the centroid of the parabolaCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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