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Assertion (A): A circular plate is immersed in a liquid with its periphery touching the free surface and the plane makes anangle q with the free surface with different values of q , the position of centre of pressure will be different.
Reason (R): Since the center of pressure is dependent on second moment of area, with different values of q , second moment ofarea for the circular plate will change.
Reason (R): Since the center of pressure is dependent on second moment of area, with different values of q , second moment ofarea for the circular plate will change.
- a)Both A and R are individually true and R is the correct explanation ofA
- b)Both A and R are individually true but R is not the correct explanationof A
- c)A is true but R is false
- d)A is false but R is true
Correct answer is option 'C'. Can you explain this answer?
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Assertion (A): A circular plate is immersed in a liquid with its perip...
Ans. (c)
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Assertion (A): A circular plate is immersed in a liquid with its perip...
Assertion (A): A circular plate is immersed in a liquid with its periphery touching the free surface and the plane makes an angle q with the free surface with different values of q, the position of the center of pressure will be different.
Reason (R): Since the center of pressure is dependent on the second moment of area, with different values of q, the second moment of area for the circular plate will change.
Explanation:
The center of pressure is the point at which the total force due to the liquid pressure acts on a submerged surface. It is an important concept in fluid mechanics and is used to determine the stability and equilibrium of submerged objects.
Understanding the Assertion (A):
When a circular plate is immersed in a liquid with its periphery touching the free surface, the angle at which the plane of the plate makes with the free surface will determine the position of the center of pressure. This means that as the angle q changes, the position of the center of pressure will also change.
Understanding the Reason (R):
The position of the center of pressure is dependent on the second moment of area of the submerged surface. The second moment of area, also known as the moment of inertia, is a property of a shape that describes its resistance to bending and torsional forces.
When the circular plate is inclined at different angles q, the distribution of liquid pressure on the surface of the plate changes. This leads to a change in the second moment of area of the plate, which in turn affects the position of the center of pressure.
Verification of the Assertion and Reason:
The assertion (A) is true because the position of the center of pressure does change with different values of q.
The reason (R) is also true because the second moment of area is indeed dependent on the angle q, and as q changes, the second moment of area for the circular plate will change as well.
Conclusion:
Both the assertion (A) and reason (R) are individually true. The reason (R) is the correct explanation of the assertion (A). Therefore, the correct answer is option (C).
Reason (R): Since the center of pressure is dependent on the second moment of area, with different values of q, the second moment of area for the circular plate will change.
Explanation:
The center of pressure is the point at which the total force due to the liquid pressure acts on a submerged surface. It is an important concept in fluid mechanics and is used to determine the stability and equilibrium of submerged objects.
Understanding the Assertion (A):
When a circular plate is immersed in a liquid with its periphery touching the free surface, the angle at which the plane of the plate makes with the free surface will determine the position of the center of pressure. This means that as the angle q changes, the position of the center of pressure will also change.
Understanding the Reason (R):
The position of the center of pressure is dependent on the second moment of area of the submerged surface. The second moment of area, also known as the moment of inertia, is a property of a shape that describes its resistance to bending and torsional forces.
When the circular plate is inclined at different angles q, the distribution of liquid pressure on the surface of the plate changes. This leads to a change in the second moment of area of the plate, which in turn affects the position of the center of pressure.
Verification of the Assertion and Reason:
The assertion (A) is true because the position of the center of pressure does change with different values of q.
The reason (R) is also true because the second moment of area is indeed dependent on the angle q, and as q changes, the second moment of area for the circular plate will change as well.
Conclusion:
Both the assertion (A) and reason (R) are individually true. The reason (R) is the correct explanation of the assertion (A). Therefore, the correct answer is option (C).
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Assertion (A): A circular plate is immersed in a liquid with its periphery touching the free surface and the plane makes anangle q with the free surface with different values of q , the position of centre of pressure will be different.Reason (R): Since the center of pressure is dependent on second moment of area, with different values of q , second moment ofarea for the circular plate will change.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer?
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Assertion (A): A circular plate is immersed in a liquid with its periphery touching the free surface and the plane makes anangle q with the free surface with different values of q , the position of centre of pressure will be different.Reason (R): Since the center of pressure is dependent on second moment of area, with different values of q , second moment ofarea for the circular plate will change.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect 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 Assertion (A): A circular plate is immersed in a liquid with its periphery touching the free surface and the plane makes anangle q with the free surface with different values of q , the position of centre of pressure will be different.Reason (R): Since the center of pressure is dependent on second moment of area, with different values of q , second moment ofarea for the circular plate will change.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect 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 Assertion (A): A circular plate is immersed in a liquid with its periphery touching the free surface and the plane makes anangle q with the free surface with different values of q , the position of centre of pressure will be different.Reason (R): Since the center of pressure is dependent on second moment of area, with different values of q , second moment ofarea for the circular plate will change.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer?.
Assertion (A): A circular plate is immersed in a liquid with its periphery touching the free surface and the plane makes anangle q with the free surface with different values of q , the position of centre of pressure will be different.Reason (R): Since the center of pressure is dependent on second moment of area, with different values of q , second moment ofarea for the circular plate will change.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect 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 Assertion (A): A circular plate is immersed in a liquid with its periphery touching the free surface and the plane makes anangle q with the free surface with different values of q , the position of centre of pressure will be different.Reason (R): Since the center of pressure is dependent on second moment of area, with different values of q , second moment ofarea for the circular plate will change.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect 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 Assertion (A): A circular plate is immersed in a liquid with its periphery touching the free surface and the plane makes anangle q with the free surface with different values of q , the position of centre of pressure will be different.Reason (R): Since the center of pressure is dependent on second moment of area, with different values of q , second moment ofarea for the circular plate will change.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Assertion (A): A circular plate is immersed in a liquid with its periphery touching the free surface and the plane makes anangle q with the free surface with different values of q , the position of centre of pressure will be different.Reason (R): Since the center of pressure is dependent on second moment of area, with different values of q , second moment ofarea for the circular plate will change.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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ample number of questions to practice Assertion (A): A circular plate is immersed in a liquid with its periphery touching the free surface and the plane makes anangle q with the free surface with different values of q , the position of centre of pressure will be different.Reason (R): Since the center of pressure is dependent on second moment of area, with different values of q , second moment ofarea for the circular plate will change.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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