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15讲:质量、动量、动量守恒的中心

Lecture 15: Momentum - Conservation of Momentum - Center of Mass
课程网址: http://videolectures.net/mit801f99_lewin_lec15/  
主讲教师: Walter H. G. Lewin
开课单位: 麻省理工学院
开课时间: 2008-10-10
课程语种: 英语
中文简介:
** 1。动量守恒:**讨论了动量矢量,内力,外力和动量守恒。 ** 2。一维碰撞的动能和动量:**动量守恒用于计算碰撞并粘在一起的一对质量的最终速度(这称为完全非弹性碰撞)。结果表明,动能总是丢失,但动量是守恒的。 ** 3。二维汽车碰撞的能量和动量:**撞击时间很短,以至于可以忽略在撞击过程中施加在汽车上的摩擦力所做的工作。汽车之间的内部摩擦力将残骸合并成一个质量块。草图绘制了动量图。这是一次完全无弹性的碰撞。如果我们比较碰撞之前和之后的瞬间,动能就会消失,但动量会得到保留。 ** 4。增加动能的场景:**当炸弹爆炸时,爆炸前动量和动能为零。因此总动量必须保持为零,但爆炸后动能明显增加。 Lewin教授做了一些空气轨道实验,释放的能量来自压缩弹簧;动能增加但动量得以保留。 ** 5。系统质量中心:**描述质心的定义。在这一点上,质心就好像所有物质都在一起。在系统上没有外力的情况下,物体系统的质心沿着直线以恒定速度移动(允许物体之间的内力 - 例如物体可能碰撞)。一个例子是计算三个质量系统的质心的位置矢量。空中轨道演示显示振荡系统(2个物体)的质心以恒定速度移动。网球拍的质心在空中翻滚时遵循抛物线轨迹。
课程简介: **1. Conservation of Momentum:** The momentum vector, internal forces, external forces and the conservation of momentum are discussed. **2. Kinetic Energy and Momentum for a 1D Collision:** Conservation of momentum is used to calculate the final velocity of a pair of masses that collide and stick together (this is called a completely inelastic collision). It is shown that kinetic energy is then always lost, but momentum is conserved. **3. Energy and Momentum for a 2D Car Collision:** The impact time is so short that the work done by the frictional force from the road exerted on the cars during the impact can be ignored. Internal frictional forces between the cars will merge the wrecks into one mass. A momentum diagram is sketched. This is a completely inelastic collision. If we compare the moment just before and just after the collision, kinetic energy is lost, but momentum is conserved. **4. Scenarios that Increase the Kinetic Energy:** When there is a bomb explosion, the momentum and kinetic energy are zero before the explosion. Thus the total momentum must remain zero, but the kinetic energy clearly increases after the explosion. Professor Lewin does some air track experiments where the released energy is from a compressed spring; kinetic energy increases but momentum is conserved. **5. Center of Mass of a System:** The definition of the center of mass is described. The center of mass behaves as if all the matter were together at that point. The center of mass of a system of objects moves with constant speed along a straight line in the absence of external forces on the system (internal forces between the objects are allowed - e.g. the objects can collide). An example is worked calculating the position vector for the center of mass for a system of three masses. An air track demonstration shows the center of mass of an oscillating system (2 objects) is moving at constant velocity. The center of mass of a tennis racket follows a parabolic trajectory while it tumbles through the air.
关 键 词: 能量和动量; 质量中心系统; 三维测量; 抛物线轨迹
课程来源: 视频讲座网
最后编审: 2020-07-05:liush
阅读次数: 104