Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Assertion (A): D’Alembert’s princ...
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Assertion (A): D’Alembert’s principle states that “for any- body, the algebraic sum of externally applied forces and the forces resisting motion in any given direction is zero.
”Reason (R): D’Alembert principle is used in writing the equation of motion of mechanical systems.
”Reason (R): D’Alembert principle is used in writing the equation of motion of mechanical systems.
- a)Both A and R are true and R is a correct explanation of A.
- b)Both A and R are true but R is not a correct explanation of A.
- c)A is true but R is false.
- d)A is false but R is true.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Assertion (A): D’Alembert’s principle states that “f...
Both assertion and reason are true. However, the correct reason is that ali the forces in the direction of reference direction are considered as positive and the forces opposite to the reference direction are taken as negative due to which the algebraic sum of forces is zero.
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Assertion (A): D’Alembert’s principle states that “f...
Understanding D'Alembert's Principle
D'Alembert's principle is a fundamental concept in dynamics, particularly in classical mechanics. It bridges the gap between statics and dynamics by introducing the notion of inertia into the analysis of motion.
Assertion (A) Explained
- D'Alembert's principle states that:
- The algebraic sum of external forces acting on a body and the inertial forces (which resist motion) is zero.
- This can be expressed as: the sum of forces (F) plus the inertial force (ma) equals zero.
Reason (R) Explained
- D'Alembert’s principle is crucial for:
- Writing equations of motion for mechanical systems.
- It allows for the transformation of dynamic problems into static ones by incorporating inertial forces.
Relationship Between A and R
- Both Assertion (A) and Reason (R) are true:
- The assertion accurately describes D'Alembert's principle.
- The reason correctly explains the application of this principle in deriving equations of motion.
- However, R is not merely a restatement of A but highlights the practical utility of the principle in dynamics.
Conclusion
Thus, the correct answer is option 'B': Both A and R are true, but R is not a correct explanation of A. This distinction emphasizes that while both statements are accurate, they serve different purposes in the context of mechanics.
D'Alembert's principle is a fundamental concept in dynamics, particularly in classical mechanics. It bridges the gap between statics and dynamics by introducing the notion of inertia into the analysis of motion.
Assertion (A) Explained
- D'Alembert's principle states that:
- The algebraic sum of external forces acting on a body and the inertial forces (which resist motion) is zero.
- This can be expressed as: the sum of forces (F) plus the inertial force (ma) equals zero.
Reason (R) Explained
- D'Alembert’s principle is crucial for:
- Writing equations of motion for mechanical systems.
- It allows for the transformation of dynamic problems into static ones by incorporating inertial forces.
Relationship Between A and R
- Both Assertion (A) and Reason (R) are true:
- The assertion accurately describes D'Alembert's principle.
- The reason correctly explains the application of this principle in deriving equations of motion.
- However, R is not merely a restatement of A but highlights the practical utility of the principle in dynamics.
Conclusion
Thus, the correct answer is option 'B': Both A and R are true, but R is not a correct explanation of A. This distinction emphasizes that while both statements are accurate, they serve different purposes in the context of mechanics.
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Assertion (A): D’Alembert’s principle states that “for any- body, the algebraic sum of externally applied forces and the forces resisting motion in any given direction is zero.”Reason (R): D’Alembert principle is used in writing the equation of motion of mechanical systems.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Assertion (A): D’Alembert’s principle states that “for any- body, the algebraic sum of externally applied forces and the forces resisting motion in any given direction is zero.”Reason (R): D’Alembert principle is used in writing the equation of motion of mechanical systems.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): D’Alembert’s principle states that “for any- body, the algebraic sum of externally applied forces and the forces resisting motion in any given direction is zero.”Reason (R): D’Alembert principle is used in writing the equation of motion of mechanical systems.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer?.
Assertion (A): D’Alembert’s principle states that “for any- body, the algebraic sum of externally applied forces and the forces resisting motion in any given direction is zero.”Reason (R): D’Alembert principle is used in writing the equation of motion of mechanical systems.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Assertion (A): D’Alembert’s principle states that “for any- body, the algebraic sum of externally applied forces and the forces resisting motion in any given direction is zero.”Reason (R): D’Alembert principle is used in writing the equation of motion of mechanical systems.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): D’Alembert’s principle states that “for any- body, the algebraic sum of externally applied forces and the forces resisting motion in any given direction is zero.”Reason (R): D’Alembert principle is used in writing the equation of motion of mechanical systems.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer?.
Solutions for Assertion (A): D’Alembert’s principle states that “for any- body, the algebraic sum of externally applied forces and the forces resisting motion in any given direction is zero.”Reason (R): D’Alembert principle is used in writing the equation of motion of mechanical systems.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
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Assertion (A): D’Alembert’s principle states that “for any- body, the algebraic sum of externally applied forces and the forces resisting motion in any given direction is zero.”Reason (R): D’Alembert principle is used in writing the equation of motion of mechanical systems.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Assertion (A): D’Alembert’s principle states that “for any- body, the algebraic sum of externally applied forces and the forces resisting motion in any given direction is zero.”Reason (R): D’Alembert principle is used in writing the equation of motion of mechanical systems.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Assertion (A): D’Alembert’s principle states that “for any- body, the algebraic sum of externally applied forces and the forces resisting motion in any given direction is zero.”Reason (R): D’Alembert principle is used in writing the equation of motion of mechanical systems.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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