0
D'Alembert's principle states that the virtual work of the inertial forces is equal to the virtual work of the applied forces for a system in equilibrium. By applying this principle to a system described by generalized coordinates, we can derive Lagrange's equation of motion, which relates the generalized forces, generalized coordinates, and Lagrangian of the system. The resulting equations can be used to describe the dynamics of the system without the need for explicit forces or constraints.
Add your answer:
Earn +20 pts
What is the meaning of Biot-Savar's equation?
Biot-Savart's law describes the magnetic field generated by a steady current flowing in a wire. It states that the magnetic field at a point in space is proportional to the current flowing through the wire and inversely proportional to the distance from the wire. This equation is fundamental in calculating magnetic fields around current-carrying conductors.
What are the advantages of variational principle?
The variational principle allows for the determination of the most stable configuration of a system by minimizing a mathematical functional. It provides a systematic approach to finding solutions that optimize a given quantity, such as energy or action. This principle is widely used in physics to derive equations of motion and study the behavior of complex systems.
How do you derive the 3rd equation of motion?
The third equation of motion can be derived by integrating the equation of acceleration with respect to time. Starting with ( a = dv/dt ), integrating both sides with respect to time will give ( v = u + at ), where ( v ) is the final velocity, ( u ) is the initial velocity, ( a ) is the acceleration, and ( t ) is the time taken.
How are the continuity equation and bernoulli's equation related?
The continuity equation states that the mass flow rate is constant in an incompressible fluid, while Bernoulli's equation relates the pressure, velocity, and elevation of a fluid in steady flow. Together, they help describe the relationship between fluid velocity, pressure, and flow rate in a system. The continuity equation can be used to derive Bernoulli's equation for incompressible fluids.
Derive an equation that relates wavelength and energy?
The energy of a photon (E) is directly proportional to its frequency (f) through the equation E = hf, where h is the Planck constant. The frequency of a wave is inversely proportional to its wavelength (λ) through the equation f = c/λ, where c is the speed of light. Combining these two equations gives the equation E = hc/λ, which relates energy and wavelength.
What is clausius mossotti equation?
derive clausious mossotti equation
Derive emf equation of a DC machine?
equation of ac machine
Derive the equation of mobility carrier?
help plzz
In what branch of math would one derive an equation?
Philosophy of Mathematics is a place in math where on would derive an equation. It is the branch of philosophy that studies the: assumptions, foundations, and implications of mathematics.
What is general gas equation and derive it?
General gas Equation is PV=nRT According to Boyls law V
Derive the equation for average value of DC?
The equation for the average over time T is integral 0 to T of I.dt
Derive the balancing equation of wheatstone bridge?
R1/r2=r3/r4
How you can derive mass to charge ratio equation?
It is a simple ratio charge/mass or e/m .
Derive lineweaver-burk plot equation from m m equation?
Go to this link: http://research4.dfci.harvard.edu/attractin/HMS/Michaelis-Menten.pdf
Derive the output equation for differential amplifier and instrumentation amplifier?
Vo=(R2/R1)(V2-V1)
How to derive the equations of motion by method?
1 equation: as u know that a=(v-u)/t so, v-u=a*t therefore, v=u+at which is the first equation of motion
What is the solution to this system of equation x minus y 3x plus 2y equals 8?
There is only one equation - possibly due to the limitations of the browser. There are not enough equations to derive a solution.
