goldstain clasical mechanics notes

... of a Particle states that angular momentum, L, is conserved if the total torque T, is zero 1.2 Mechanics of Many Particles Newton’s third law of motion, equal and opposite forces, does not hold

Ngày tải lên: 17/03/2016, 22:17

... Reynolds numbers spanning ve orders of magnitude Figure 3: Fluid problems span a vast range of length scales ME 563 - Intermediate Fluid Dynamics - Su Lecture - Math fundamentals The subject ... Figure 1: Plot of u vs r for t = 0, 0.5, 1, and From Batchelor, An Introduction to Fluid Dynamics ME 563 - Intermediate Fluid Dynamics - Su Lecture 10 - DAlemberts paradox / the velocity p...

Ngày tải lên: 17/03/2014, 13:56

... CONTENTS Contents Historical notes 1.1 1.2 1.3 1.4 1.5 Origins in functional analysis and quantum mechanics Rings of operators (von Neumann algebras) Reduction of unitary group representations ... in nity because it is constant), but an approximate unit may be constructed as follows: take = N , and take In to be a continuous function which is on ;n n] and vanishes for jxj >...

Ngày tải lên: 17/03/2014, 14:41

... notation and formalism, time evolution of quantum systems, angular momentum theory, creation and annihilation operators (the second quantization representation), symmetries and conservation laws, ... Collision Theory 6.1 196 Collisions in one- and three-dimensions 197 6.1.1 One-dimensional square potential barriers 197 6.2 Collision in three dimensions ... of quantum mechanics, but the...

Ngày tải lên: 24/04/2014, 17:12

Ngày tải lên: 06/09/2012, 15:55

... gian biểu) Trịnh Hồng Hải - Nhóm Cơ sở liệu Cơ sở liệu phi cấu trúc với ứng dụng Notes B -Cấu trúc CSDL Notes I-Các đối tợng mà bạn găp tiếp xúc với ứng dụng Notes Các phần tử mà User tạo: - Agents ... Cơ sở liệu phi cấu trúc với ứng dụng Notes III -Notes Hệ quản trị sở liệu quan hệ Lotus Notes hệ quản trị sở liệu quan hệ b...

Ngày tải lên: 07/09/2012, 11:40

... determine the speed of your animation Remember, the greater the distance between the drawings, the quicker the action; the closer together they are, the slower the timing will be 10 Animation: The Mechanics ... images, the principle remains the same Simply put, the closer the subsequent images are to each other in their position on the screen, the slower...

Ngày tải lên: 13/09/2012, 14:19

... beginning of fluid mechanics Fig 1.3 Ancient Greek ship depicted on old vase inclination or supply pressure had to be adjusted to overcome friction with the wall of the conduit This gave rise to much ... was the first to find the least resistive ‘streamline’ shape 4 History of fluid mechanics Leonardo da Vinci (145 2-1 519 ) An all-round genius born in Italy His unceasing z...

Ngày tải lên: 22/10/2012, 10:59

... Kinematic viscosity B Y units 0 1 0 0 m kg -3 -1 1 1 -1 -1 -2 -2 -2 -2 -1 -1 S mls m/s2 kg I m3 N = kg m/s2 Pa = N/m2 J Pa s m2/s Characteristics of a fluid 2.2.2 Dimension All physical quantities ... proportional to the velocity gradient duldy Such fluids are called Newtonian fluids On the other hand, liquid which is not subject to Newton's law of viscosit...

Ngày tải lên: 22/10/2012, 10:59

... semiconductor strain gauge PGM-C Pressure range (MPa) Natural frequency (kHz1 Response frequency (kHz1 PE-J, P (a) Small size 0. 2-1 o 2 5-4 0 5-8 (b) For indicating pressure of an engine 5-2 0 2 5-4 0 5-8 ... pdAor ( ) p+-dz dA-pgdAdz=O 24 Fluid statics Fig 3.4 Balance of vertical minute cylinder dp _ - -PS &" (3.6) Since p is constant for liquid, the following equation ens...

Ngày tải lên: 22/10/2012, 10:59

... direction moves to A‘B’ while rotating by dq, and AD in the y direction rotates by de, Thus av de - - dxdt - ax at4 d = dydt E aY de - L = - d av d~ t I - dx ax de = dt dE2 dy au - ay The angular ... case of two-dimensional flow where w = V is an operator which represents a a a ax ay az i-+j-+k- where i,j , k are unit vectors on the x, y z axes 50 Fundamentals of f...

Ngày tải lên: 22/10/2012, 10:59

... momentum: - (D’ increase in momentum: R - d2)pu: 71 -p[D2u: 71 + -d’pui - (0’ - d2)u: - d’ui] 71 force acting on the fluid: -D’(p, - p ) By the law of momentum, ~ [ D ’ u - (D’ - d2)u: - d ’ ~ ... respectively Then from Bernoulli’s equation Pl u: 2g P2 -+ -+ z PS VI - PS 29 +-+ z2 Assuming that the pipe line is horizontal, z1 = 22 v2 - v: -...

Ngày tải lên: 22/10/2012, 10:59