Outline Review of Equations of Motion Rotational Motion Equations of Motion in Rotating coordinates Euler Equations Example: Stability of Torque Free Motion Gyroscopic Motion Euler Angles Steady Precession Steady Precession with M=0 MIT

In this lecture, we will derive expressions for the angular momentum and kinetic energy of a 3D rigid body. We shall see that this introduces the concept of the Inertia Tensor. Angular Momentum We start form the expression of the angular momentum of a system of particles about the center of mass

In this lecture, we will consider how to transfer from one orbit, or trajectory, to another. One of the assumptions that we shall make is that the velocity changes of the spacecraft, due to the propulsive effects, occur instantaneously. Although it obviously takes some time for the spacecraft to accelerate to the velocity of the new orbit, this assumption is reasonable when the burn time of the rocket is much smaller than the period of the orbit. In such cases, the Av required to do the maneuver is simply the difference between the

When the only force acting on a particle is always directed to- wards a fixed point, the motion is called central force motion. This type of motion is particularly relevant when studying the orbital movement of planets and satellites. The laws which gov- ern this motion were first postulated by Kepler and deduced from observation. In this lecture, we will see that these laws are a con- sequence of Newton's second law. An understanding of central

Solution General solution x(t)= A cos wnt +B sin wnt or, x(t)=Csin(wnt+φ) Initial conditions

Lecture D32: Damped Free Vibration Spring-Dashpot-Mass System k Spring Force Fs =-kx, k>0 Dashpot Fd =-cx, c>0 Newton's Second Law (mx =EF) mx +cx+kx (Define)Natural Frequency wn=k/m,and

一、名词解释 复出口:外国商品进口以后未经加工制造又出口 (reexport). 复进口:本国商品运往国外未经加工后又输入国内 (reimport)

第一节国际无形贸易概述 第二节与国际服务贸易有关的一些行业

商品的品质:商品的外观形态和内在质量的综合, 是商品满足用户需要、适合一定用途的各种特 征。 在书面合同中,商品品质条件列在“货号、品 名和规格”栏目内,是国际贸易合同中主要的 交易条件之一

商品检验(Commodity Inspection) 国家设置的检验管理机构或政府认可的民间公 证鉴定机关对国际贸易中的商品进行品质、数 量、包装、卫生、安全及残损、短缺的检验和 鉴定,根据检验结果出具商检证书。 国际贸易合同中的商检条款内容 通常包括对商检时间、地点、检验机关、检验 证书等内容的规定