Question

the mathematical expression,with usual notations,of d'alemberts principle is
a) f=ma
b) f=mv
c) f-ma=0
d) f-mv=o​

Answer 1

Answer:

option c

Explanation:

D’Alembert’s principle states that

For a system of mass of particles, the sum of difference of the force acting on the system and the time derivatives of the momenta is zero when projected onto any virtual displacement.

It is also known as the Lagrange-d’Alembert principle.

It is an alternative form of Newton’s second law of motion. According to the 2nd law of motion, F = ma while it is represented as F – ma = 0 in D’Alembert’s law.

So it can be said that the object is in equilibrium when a real force is acting on it. Here, F is the real force while -ma is the fictitious force known as inertial force.