It is pointed out that the current form of extrinsic equation of motion for a particle constrained to remain on a hypersurface is in fact a half-finished version for it is established without regard to the fact that the particle can never depart from the geodesics on the surface. Once the ...
2.For the respiratory system, an equation that relates the forces involved in breathing to the displacements they produce. Typically, pressure differences are used to represent generalized forces and volume changes are used to represent generalized displacements. The simplest equation of motion written ...
In order to have a particle under central force in a uniform circular motion, the centripetal force should be as follows: mv2r=F(r) r: is the original radius. v: is a speed that satisfies the centripetal force equation. The relevance of the particles central motion of force: Many natura...
One can derive AMB+ either phenomenologically by writing down a general theory of a certain order in gradients and fields (top-down approach) or microscopically by explicit coarse-graining of the microscopic equations of motion of active particles (bottom-up approach)20. Here, the bottom-up ...
a因为他认为自己的事情应自己解决。 正在翻译,请等待...[translate] aWhen a prescribed force is applied to cause a mass to slide, Fig. 2, the equation of the motion is given by 当应用被规定的力量造成大量滑。 行动的等式给2[translate]
Let us express the previously mentioned fundamental principles of Stochastic Optimal Control Theory of quantum mechanics in mathematical terms. The stochastic equation of motion of the Brownian particle24 is: $$\begin{aligned}dx_\mu =u_\mu ds+ \sigma _\mu dW_\mu , \quad \mu =0..3, \en...
At low-Reynolds-numbers, the inertial terms in the equation of motion are negligible and a point force f at position x gives rise to a (planar) viscous fluid velocity at x' proportional to both f and log 1.x x' I, hence to the by these is (7) where J( x - x') a log ( x...
aThroughout stage (iv) the fabric acceleration is opposed by an elastic restoring force provided by the hoop stress which is set up in the fabric. This results in an additional term appearing in the equation of motion. With this addition, the new equation of motion is: 在阶段(iv中)织品...
In a fluid, the rigid body equation of motion F=mdv/dt is differentiated with respect to volume, giving f=ρ Dv/Dt, where f is the force density and ρ is density of the fluid. The convective derivative Dv/Dt takes into account both local, temporal velocity changes and velocity changes...
Fd –Drag force; ρ –Liquid's density; u –Relative velocity; A –Reference area; and Cd –Drag coefficient. The reference area A for an object of a simple shape is the cross-sectional area orthogonal to the direction of the motion. For example, for a sphere of radius r, we would ...