Mechanical Engineering - Engineering Mechanics - Discussion
Discussion Forum : Engineering Mechanics - Section 6 (Q.No. 18)
18.
D' Alembert's principle basically depends upon Newton's second law of motion.
Discussion:
2 comments Page 1 of 1.
Prabhatpandey said:
4 years ago
Good, Thanks for explaining @Swapnil.
Swapnil (sp) said:
1 decade ago
Newton's second law F= ma is only true if you measure the quantities in a non-accelerating frame or reference.
If you want to work in an accelerating frame of reference, you have,
F = m(ar + af).
where af is the acceleration of the reference frame and ar is the acceleration measured relative to the accelerating frame.
D'Alembert's principle says this equation is the same as,
F - m af = m ar.
Relative to the accelerating frame of reference, the "-m af" part looks like an imaginary force on the object, called the d'Alembert force.
If you want to work in an accelerating frame of reference, you have,
F = m(ar + af).
where af is the acceleration of the reference frame and ar is the acceleration measured relative to the accelerating frame.
D'Alembert's principle says this equation is the same as,
F - m af = m ar.
Relative to the accelerating frame of reference, the "-m af" part looks like an imaginary force on the object, called the d'Alembert force.
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