It was pointed out by L . Thomas that there is a second relativistic effect : an electric field component perpendicular to the electron velocity causes an additional acceleration of the electron perpendicular to its instantaneous velocity, so the electron moves in a curved path.
42.
Just as you can develop a theory of instantaneous velocity by taking the limit of the velocity over successively smaller time intervals, so you can develop a theory of " angular momentum at a point " by taking a limit of successively smaller spinning objects.
43.
Purely " translational motion " occurs when every particle of the body has the same instantaneous velocity as every other particle; then the path traced out by any particle is exactly parallel to the path traced out by every other particle in the body.
44.
Where \ rho is the mass density of the fluid, U _ j is the instantaneous velocity, P is fluid pressure, g are the external body forces acting on the fluid, and \ tau _ { ij } is the momentum transport coefficient.
45.
If you dropped a feather and a bowling ball in " air " at a height of 5m and then measure their instantaneous velocity before impact, are you suggesting that the " measured " value of g would be the same in both cases?
46.
Thus, despite that rolling is different from rotation around a fixed axis, the " instantaneous velocity " of all particles of the rolling object is the same as if it was rotating around an axis that passes through the point of contact with the same angular velocity.
47.
If this interval is made to be infinitesimally small, such that { \ Delta s } becomes { ds } and { \ Delta t } becomes { dt }, the result is the instantaneous velocity at time t, or the derivative of the position with respect to time.
48.
If the torque is defined as the z-component of this cross product, then the torque is simply " rF " perp where " F " perp is the force perpendicular to the radius vector, or tangential to the instantaneous velocity of the blade ( See figure below)
49.
If we make some additional assumptions, like constant acceleration / deceleration and no rest time at each end, we might even be able to come up with a graph of the instantaneous velocity at each point in the cycle, from the data you supplied . talk ) 23 : 19, 8 March 2011 ( UTC)
50.
By definition, there is no sliding when the instantaneous velocity of the rolling object in all the points in which it contacts the surface is the same as that of the surface; in particular, for a reference plane in which the rolling surface is at rest, the instantaneous velocity of the point of contact of the rolling object is zero.
