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The work of a force on a particle along a virtual displacement is known as the virtual work. Historically, virtual work and the associated calculus of variations were formulated to analyze systems of rigid bodies, [1] but they have also been developed for the study of the mechanics of deformable bodies. [2]
There are two main descriptions of motion: dynamics and kinematics.Dynamics is general, since the momenta, forces and energy of the particles are taken into account. In this instance, sometimes the term dynamics refers to the differential equations that the system satisfies (e.g., Newton's second law or Euler–Lagrange equations), and sometimes to the solutions to those equations.
Let the coordinate system (x 1, x 2, x 3) be an inertial frame of reference, r be the position vector of a point particle in the continuous body with respect to the origin of the coordinate system, and v = dr / dt be the velocity vector of that point.
For a system of N particles in 3D real coordinate space, the position vector of each particle can be written as a 3-tuple in Cartesian coordinates: = (,,), = (,,), = (,,) Any of the position vectors can be denoted r k where k = 1, 2, …, N labels the particles.
Newton's laws are often stated in terms of point or particle masses, that is, bodies whose volume is negligible. This is a reasonable approximation for real bodies when the motion of internal parts can be neglected, and when the separation between bodies is much larger than the size of each.
November 30, 2024 at 12:04 AM. If you’re stuck on today’s Wordle answer, we’re here to help—but beware of spoilers for Wordle 1260 ahead. Let's start with a few hints.
Nearly $3.6 billion Canadian (US $2.7 billion) worth of goods and services cross the border each day. About 60% of U.S. crude oil imports are from Canada, and 85% of U.S. electricity imports are ...
Just as the photon, Z boson and W ± bosons are superpositions of the B 0, W 0, W 1, and W 2 fields, the photino, zino, and wino ± are superpositions of the bino 0, wino 0, wino 1, and wino 2. No matter if one uses the original gauginos or this superpositions as a basis, the only predicted physical particles are neutralinos and charginos as a ...
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