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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:
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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
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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
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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
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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
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第一节机床的分类、型号编制方法和构造 第二节车床与车刀 第三节钻床、镗床与孔加工刀具 第四节铣床与铣刀 第五节刨床、拉床及工艺特点 第六节磨床与砂轮 第七节齿轮加工机床与齿轮加工刀具
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第一节金属的切削过程 第二节切削力与切削功率 第三节切削热与切削温度 第四节刀具的磨损及使用寿命 第五节刀具合理几何参数的选择 第六节工件材料的切削加工性
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通过课程学习,使学生掌握生物工程学的基本概念、基本知识和基本原理,了解生物工程的发展方向,及其与其它学科、社会发展的联系
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(一)生物技术定义 生物技术(Biotechnology)生物工程(Bioengineering)应用自然科学及工程学的原理,依靠生物催化剂的作用将物料进行加工以提供产品或为社会服务
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1、神经系统的组成及其功能 Composition of Nevous System and Function 2、感觉与知觉 Perception and Consciousness 3、视觉与本体感觉 4、人的心理特征
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