The use of the D’Alembert’s principle
is for ________.
डी'अलेम्बर्ट के सिद्धांत का उपयोग ________ के लिए है।
determining the stresses in the truss
stability of floating bodies
reduction of problems of kinetics to
equivalent statics problem
design of safe structures
reduction of problems of kinetics to
equivalent statics problem
D’Alembert’s principle is used to
reduce the kinetics problems to equivalent statics problems.
Hence, the correct option is (C).
&Key Points:-
D’Alembert’s principle : It states
that, “If a rigid body is acted upon by a system of forces, this system may be
reduced to a single resultant force whose magnitude, direction and the line of
action may be found out by the methods of graphic statics.”
We know that,
Force acting on a body (F) = ma …(i)
Where, m = Mass of the body
a = Acceleration of the body
Equation (i) may also be written as :
F - ma = 0 … (ii)
Here, eqn. (i) is the equation of
dynamics whereas the eqn. (ii) is the equation of statics, also known as the
equation of dynamic equilibrium under the action of the real force F.
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