Mechanical Engineering Exam  >  Mechanical Engineering Questions  >  If a system is in equilibrium and the positio... Start Learning for Free
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
  • a)
    -1.0
  • b)
    0
  • c)
    1.0
  • d)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If a system is in equilibrium and the position of the system depends u...
The system of construction and conductive here among the point and design and low of motion and give to tere ans all

and among this is is ans o
Free Test
Community Answer
If a system is in equilibrium and the position of the system depends u...
The principle of virtual work states that the total potential energy of a system in equilibrium is stationary with respect to small virtual displacements. In other words, if the system is in equilibrium and we make a small change in the position of the system, the total potential energy should not change to first order.

Mathematically, this can be expressed as:

δU = ∂U/∂x1 * δx1 + ∂U/∂x2 * δx2 + ... + ∂U/∂xn * δxn = 0

where U is the total potential energy of the system, x1, x2, ..., xn are the independent variables that determine the position of the system, and δx1, δx2, ..., δxn are the virtual displacements.

Since the system is in equilibrium, the total potential energy U is constant. Therefore, the partial derivatives ∂U/∂x1, ∂U/∂x2, ..., ∂U/∂xn must all be zero in order for the principle of virtual work to hold.

Therefore, the correct answer is:

b) 0
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

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 bea)-1.0b)0c)1.0d)∞Correct answer is option 'B'. Can you explain this answer?
Question Description
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 bea)-1.0b)0c)1.0d)∞Correct answer is option 'B'. 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 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 bea)-1.0b)0c)1.0d)∞Correct answer is option 'B'. 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 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 bea)-1.0b)0c)1.0d)∞Correct answer is option 'B'. Can you explain this answer?.
Solutions for 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 bea)-1.0b)0c)1.0d)∞Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of 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 bea)-1.0b)0c)1.0d)∞Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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 bea)-1.0b)0c)1.0d)∞Correct answer is option 'B'. Can you explain this answer?, a detailed solution for 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 bea)-1.0b)0c)1.0d)∞Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of 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 bea)-1.0b)0c)1.0d)∞Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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 bea)-1.0b)0c)1.0d)∞Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev