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If a Mohr circle is drawn for a fluid element inside a fluid body at rest, it would be
- a)a circle not touching the origin
- b)a circle touching the origin
- c)a point on the normal stress axis
- d)a point on the shear stress axis
Correct answer is option 'C'. Can you explain this answer?
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If a Mohr circle is drawn for a fluid element inside a fluid body at r...
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If a Mohr circle is drawn for a fluid element inside a fluid body at r...
Mohr's circle is a graphical representation used in solid mechanics to determine the state of stress at a point in a material. However, it can also be used to analyze fluid mechanics problems. When a Mohr circle is drawn for a fluid element inside a fluid body at rest, it will be a point on the normal stress axis.
Explanation:
- Mohr's circle is a graphical representation that plots the normal stress (σ) on the x-axis and the shear stress (τ) on the y-axis.
- In a fluid at rest, there is no shear stress present because the fluid is not in motion. Therefore, the shear stress component of the Mohr circle will be zero.
- The normal stress in a fluid at rest is equal in all directions. This is due to the principle of Pascal's law, which states that the pressure in a fluid is transmitted equally in all directions.
- Since the shear stress component is zero and the normal stress component is equal in all directions, the Mohr circle for a fluid element inside a fluid body at rest will be a point on the normal stress axis.
- This point represents the magnitude of the normal stress in the fluid element.
- The position of the point on the normal stress axis will depend on the magnitude of the normal stress in the fluid element. If the fluid element is under compression, the point will be on the negative side of the axis. If the fluid element is under tension, the point will be on the positive side of the axis.
- The radius of the Mohr circle will be zero since there is no shear stress component present.
In conclusion, when a Mohr circle is drawn for a fluid element inside a fluid body at rest, it will be a point on the normal stress axis. This point represents the magnitude of the normal stress in the fluid element, and the position of the point on the axis indicates whether the fluid element is under compression or tension.
Explanation:
- Mohr's circle is a graphical representation that plots the normal stress (σ) on the x-axis and the shear stress (τ) on the y-axis.
- In a fluid at rest, there is no shear stress present because the fluid is not in motion. Therefore, the shear stress component of the Mohr circle will be zero.
- The normal stress in a fluid at rest is equal in all directions. This is due to the principle of Pascal's law, which states that the pressure in a fluid is transmitted equally in all directions.
- Since the shear stress component is zero and the normal stress component is equal in all directions, the Mohr circle for a fluid element inside a fluid body at rest will be a point on the normal stress axis.
- This point represents the magnitude of the normal stress in the fluid element.
- The position of the point on the normal stress axis will depend on the magnitude of the normal stress in the fluid element. If the fluid element is under compression, the point will be on the negative side of the axis. If the fluid element is under tension, the point will be on the positive side of the axis.
- The radius of the Mohr circle will be zero since there is no shear stress component present.
In conclusion, when a Mohr circle is drawn for a fluid element inside a fluid body at rest, it will be a point on the normal stress axis. This point represents the magnitude of the normal stress in the fluid element, and the position of the point on the axis indicates whether the fluid element is under compression or tension.
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If a Mohr circle is drawn for a fluid element inside a fluid body at rest, it would bea)a circle not touching the originb)a circle touching the originc)a point on the normal stress axisd)a point on the shear stress axisCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about If a Mohr circle is drawn for a fluid element inside a fluid body at rest, it would bea)a circle not touching the originb)a circle touching the originc)a point on the normal stress axisd)a point on the shear stress axisCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a Mohr circle is drawn for a fluid element inside a fluid body at rest, it would bea)a circle not touching the originb)a circle touching the originc)a point on the normal stress axisd)a point on the shear stress axisCorrect answer is option 'C'. Can you explain this answer?.
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