Mar 3, 2025 · This finally leads an extra term to the equation of motion ##f_{\alpha}## representing the additional source of force beside the gravitational force of the mass in reference by varying the lagrangians with the position of the particle. This is done without quoting any reference. I want to know its authenticity.

Jun 12, 2014 · I would expect that the Heisenberg equation of motion for the Dirac field would yield the Dirac equation. Indeed, these lecture notes claim it as a fact in eq 7.7 but without proof. My trouble is that I know the anti-commutation rules for the Dirac field but I don't know how to calculate the commutator with Hamiltonian, even if the Hamiltonian ...

Nov 8, 2022 · Good morning, I'm not a student but I'm curious about physics. I would like to calculate the equation of motion of a system using the Lagrangian mechanics. Suppose a particle subjected to some external forces. From Wikipedia, I found two method: 1. using kinetic energy and generalized forces...

May 21, 2013 · I am having trouble finding the right equation of motion for this system since it has two degrees of freedom and only one mass. For a "normal", where there is a mass at every node, I have not had a problem so far. I would appreciate any help or tips how to handle this problem! Thank you very much!

The equation of motion of a spring-mass-damper system subjected to a harmonic force can be expressed as x ¨ + 2 ζ ω n x ˙ + ω n 2 = f 0 cos ω t where f 0 = m F 0 , ω n = m k , and ζ = c / (2 m ω n ). i. Find the steady-state response of the system in the form x s (t) = C 1 cos ω t …

Derive the equation of motion and find the steady-state response of the system shown in Fig. 3.54 for rotational motion about the hinge O for the following data: k = 5000 N/m, l = 1 m, c = 1000 N-s/m, m = 10 kg, M_0 = 100 N-m, OMEGA = 1000 rpm.

To derive the equation of motion for the first system, start by drawing the free body diagram and identifying all forces and moments acting on the cylinder. Step 1 To derive motion equations as well as establish the natural frequency for each system, we will opt t...

Apr 14, 2009 · Please guide me towards the "differential equation of motion" for the following 2 DOF Spring-damper system. And furthermore, if above system is in a uniform speed rotating frame, then what can be the effect on this system? Thank you very much.

Jun 7, 2011 · 1. The equation of motion is given by s=sin2πt (m) . Find the acceleration after 4.5 seconds The Attempt at a Solution Im getting confused on whether the above equation is for velocity or distance. I know the derivative of distance is …

Sep 19, 2015 · If I want to find the equation of motion of this, I know I can start from action and use the Euler Lagrange equation or directly use d*F=0 (Maxwell's equation). This is one of the very rare times where I encounter general relativity as I am still a second year physics student.