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Net force on a control volume due to uniform normal pressure alone
  • a)
    Depends upon the shape of the control volume 
  • b)
    Translation and rotation
  • c)
    Translation and deformation
  • d)
    Deformation only
Correct answer is option 'C'. Can you explain this answer?
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The correct answer is option C: Translation and deformation.

Explanation:

Net force is the vector sum of all the forces acting on an object or a control volume. In this case, we are considering the net force on a control volume due to uniform normal pressure alone.

Uniform normal pressure is a pressure that acts perpendicular to the surface of an object or control volume. It is the same at all points on the surface.

To understand the net force on a control volume due to uniform normal pressure alone, let's consider a simple example of a rectangular control volume.

1. Translation:
When a uniform normal pressure acts on a control volume, it exerts a force on each face of the control volume. The forces acting on opposite faces are equal in magnitude and opposite in direction. As a result, the net force due to uniform normal pressure on the control volume in the direction perpendicular to the pressure is zero. Therefore, there is no net force causing translation of the control volume.

2. Deformation:
However, uniform normal pressure can cause deformation of the control volume. When pressure is applied to a control volume, the forces acting on the faces of the control volume result in internal stresses within the material. These internal stresses can cause the control volume to deform or change shape.

For example, if a uniform normal pressure is applied to a rectangular control volume, the forces exerted by the pressure on the top and bottom faces will tend to compress the control volume in the vertical direction, while the forces on the front and back faces will tend to elongate the control volume in the horizontal direction. This deformation of the control volume is due to the internal stresses caused by the pressure.

Therefore, the net force on a control volume due to uniform normal pressure alone includes both translation and deformation. The translation component is zero, but the deformation component is present.

To summarize, the net force on a control volume due to uniform normal pressure alone includes translation and deformation. The uniform normal pressure does not cause translation of the control volume, but it does cause deformation of the control volume due to internal stresses within the material.
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Net force on a control volume due to uniform normal pressure alonea)Depends upon the shape of the control volumeb)Translation and rotationc)Translation and deformationd)Deformation onlyCorrect answer is option 'C'. Can you explain this answer?
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