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

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

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)

Prof. Ed Greitzer Prof. Earll Murman \The course faculty is responsible for the structuring of the subject and the development of the learning objectives, subject content and assessment tools. The course faculty will lead all class and team meetings and grade all written and oral material. The course faculty, together with input from the 16.62x staff and Writing Program Instructor, are responsible for assessing

Why search (and cite) the literature of your field? Credibility: To be sure that your work is based on current, sound researchthe-- best in your field. Focus: To be able to place your work in context. Efficiency: To be sure that you're not duplicating work

Introduction A primary goal of your efforts in this course will be to gather empirical data so as to prove(or disprove) your hypothesis Typically the data that you gather will not directly satisfy this goal Rather, it will be necessary to \reduce\the data. to put it into an appropriate form, so that you can

TOPICS TO BE COVERED Why do error analysis? If we don't ever know the true value, how do we estimate the error in the true value? Error propagation in the measurement chain How do errors combine? (How do they behave in general?)

Elements of Designing an Experiment Goal is to assess your hypothesis The main thing is to keep the main thing the main thing-[Tom Curran, AFRL] The design goal for your experiment is to achieve your objective and satisfy your success criteria. Your HOS are the touchstones for your experimental design

DEFINITION OF A HYPOTHESIS Hypothesis A tentative explanation that accounts for facts and can be tested by further investigation; a theory Something taken to be true for the purpose of argument or investigation; an assumption .Experiment test under controlled conditions that is made to demonstrate