In the previous lecture, we related the motion experienced by two observers in relative translational motion with respect to each other. In this lecture we will extend this relation to our third type of observer.That is, observers who accelerate and rotate with respect to each other. As a matter of illustration, let us consider a very simple situation, in which a particle at rest with respect

So far we have used Newton's second law= ma to establish the instantaneous relation between the sum of the forces acting on a particle and the acceleration of that particle. Once the acceleration is known,the velocity (or position) is obtained by integrating the expression of the acceleration (or velocity). There are two situations in which the cumulative effects of unbalanced forces acting on a particle are of interest to us. These involve:

In this lecture we will consider the equations that result from integrating Newtons second law, F=ma, in time. This will lead to the principle of linear impulse and momentum. This principle is very useful when solving problems in which we are interested in determining the global effect of a force acting on a particle over a time interval Linear momentum We consider the curvilinear motion of a particle of mass, m, under the influence of a force F. Assuming that

In this lecture we will look at some applications of Newton's second law, expressed in the different coordinate systems that were introduced in lectures D3-D5. Recall that Newton's second law F=ma, (1) is a vector equation which is valid for inertial observers. In general, we will be interested in determining the motion of a particle given

In this lecture we will look at some other common systems of coordinates. We will present polar coordinates in two dimensions and cylindrical and spherical coordinates in three dimensions. We shall see that these systems are particularly useful for certain classes of problems Like in the case of intrinsic coordinates presented in the previous lecture, the reference frame changes from point to point. However, for the coordinate systems to be presented below, the reference frame depends only on the position of the particle. This is in contrast with the intrinsic coordinates, where the reference frame is a function of the position, as well as the path

We will start by studying the motion of a particle. We think of particle as a body which has mass, but has negligible dimensions. Treating bodies as particles is, of course, an idealization which involves an approximation. This approximation may be perfectly acceptable in some situations and not adequate in some other cases. For instance, if we want to study the motion of planets it is common to consider each planet as a particle

第一代:手工绘制工程图 第二代:二维计算机绘图 第三代:三维线架系统 第四代:曲面造型 第五代:实体造型

一、断裂是机械和工程构件失效的主要形式之一。 二、失效形式:如弹塑性失稳、磨损、腐蚀等。 三、断裂是材料的一种十分复亲的行为,在不同的力学、物理和化学环境下,会有不同的断裂形式。 四、研究断裂的主要目的是防止断裂,以保证构件在服役过程中的安全

第一章概述 第二章原子吸收分光光度法 第三章原子荧光光谱法 第四章荧光及磷光光谱法 第五章化学发光监测技术 第六章色谱分析法理论基础 第七章气相色谱分析法 第八章高效液相色谱分析法

第一章小结本章从并行计算的角度出发,着重讨论当代科学和工程计算问题所要求的高 性能并行计算系统,包括并行计算机系统的互连技术、并行计算机的系统结构模型、存储 访问模型和存储结构组织等