In this lecture, we consider the motion of a 3D rigid body. We shall see that in the general three dimensional case, the angular velocity of the body can change in magnitude as well as in direction, and, as a consequence, the motion is considerably more complicated than that in two dimensions. Rotation About a Fixed Point We consider first the simplified situation in which the 3D body moves in such a way that there is always a point, O, which is fixed. It is clear that, in this case, the path of any point in the rigid body which is at a

A pendulum is a rigid body suspended from a fixed point (hinge) which is offset with respect to the body's center of mass. If all the mass is assumed to be concentrated at a point, we obtain the idealized simple pendulum. Pendulums have played an important role in the history of dynamics. Galileo identified the pendulum as the first example of synchronous motion, which led to the first successful clock developed

D244BD RIGID BODY DYNAMICS KINETIC EWEGY In echure we derwed am kinenc a susem u dm T= Fere ts the velouty relanve to G. for a nald body we ca wate Uing the vechor nidontklyAxB=Ax

In this lecture, we consider the problem of a body in which the mass of the body changes during the motion, that is, m is a function of t, i.e. m(t). Although there are many cases for which this particular model is applicable, one of obvious importance to us are rockets. We shall see that a significant fraction of the mass of a rocket is the fuel, which is expelled during flight at a high velocity and thus, provides the propulsive force for the rocket

In lecture D28, we derived three basic relationships embodying Kepler's laws: Equation for the orbit trajectory

Lecture D33: Forced Vibration Fosinwt m Spring Force Fs =-kx, k>0 Dashpot Fd =-ci, c>0 Forcing Fext Fo sin wt Newton's Second Law (mix =CF) mx+cx+kx= Fo sin wt =k/m,=c/(2mwn)

一、斯威齐模型 二、也称为折弯需求曲线模型。 三、由美国经济学家斯威齐于1939年提出。 四、用于解释一些寡头市场上的价格刚性现象

一、疫苗可预防疾病最多发病例数和目前情况比较(美国)

一、国内外饮水水质检测项目极其标准 1、世界卫生组织饮水水质准则,第三版,2004年 2、欧盟饮水标准 3、美国标准(2004年) 4、日本饮水标准 5、俄罗斯国家饮用水标准

一、抗菌肽简介 从微生物代谢产物中分离得到的一些多肽类抗 生素很早已经被应用; 但继1980年在美国天蚕体内发现了第一个动物 来源的抗生素多肽杀菌肽(cecropin)以来, 在昆虫、两栖类、水产动物、包括人在内的哺 乳动物甚至植物及细菌等广泛的生物谱中发现 了至少1700余种抗菌肽; 它们构成了宿主抵抗外来病原菌感染的第一道 防线