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If a system is in equilibrium and the position of the system depends upon many independent variables, the principle of virtual- work states that the partial derivatives of its total potential energy with respect to each of the independent variable must be
[2006]
  • a)
    -1.0
  • b)
    0
  • c)
    1.0
  • d)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If a system is in equilibrium and the position of the system depends u...
Total potential energy = f (independent variable) Hence for a system in equilibrium, Total potential energy = Constant Thus, partial derivatives of its total potential energy with respect to each of independent variable must be zero.
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Most Upvoted Answer
If a system is in equilibrium and the position of the system depends u...
The correct answer is b) 0.

The principle of virtual work states that in a system in equilibrium, the total potential energy remains constant when infinitesimal virtual displacements are applied to the system. These virtual displacements are small changes in the independent variables that do not actually occur in reality.

Since the total potential energy remains constant during these virtual displacements, the partial derivatives of the total potential energy with respect to each of the independent variables must be zero. This means that small changes in the independent variables do not affect the total potential energy of the system. Therefore, the correct answer is b) 0.
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If a system is in equilibrium and the position of the system depends upon many independent variables, the principle of virtual- work states that the partial derivatives of its total potential energy with respect to each of the independent variable must be[2006]a)-1.0b)0c)1.0d)∞Correct answer is option 'B'. Can you explain this answer?
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