Images taken from slides by B. Bayazit, G. Dudek, J. C. Latombe and. Moore Robot Motion Planning and (a little)Computational Geometry Topics: Transforms Topological Methods Configuration space Skeletonization Potential Functions Cell-decomposition Methods Non-holonomic Motion Collision

3-1 Preface 3-2 Methods to Describe Fluid Motion 3-3 Basic Concepts of Fluid Motion 3-4 Continuity Equation 3-5 Motion Differential Equation of Ideal Fluid 3-6 Bernoulli Equation and Its Application 3-7 System and Control Volume 3-8 Momentum Equation 3-9 Moment of Momentum Equation

Analysis to date has assumed that the atmosphere is calm and fixed -Rarely true since we must contend with gusts and winds -Need to understand how these air motions impact our modeling of the aircraft. Must modify aircraft equations of motion since the aerodynamic forces and moments are functions of the relative motion between the aircraft and the atmosphere, and not of the inertial velocities

In the previous lecture, we related the motion experienced by two observers in relative translational motion with respect to each other. In this lecture we will extend this relation to our third type of observer.That is, observers who accelerate and rotate with respect to each other. As a matter of illustration, let us consider a very simple situation, in which a particle at rest with respect

I. Choose the Correct Answer 1. Which statement is most correct? (C) (A)Uniform circular motion causes a constant force toward the center. (B)Uniform circular motion is caused by a constant force toward the center

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

Chapter 2&3 Kinematics Chapter 3 Motion in One Dimension, Two and Three Dimensions 1. Reference Frames and Displacement 2. Velocity 3. Acceleration 4. Circular Motion

Chapter 10 11 Rotational Motion About Fixed Axis Torque, Rotational Inertia and Law Work and Rotational Kinetic Energy Angular Momentum and Conservation of Angular Momentum

Chapter 13 &14 Wave Motion and Sound 1. Simple Harmonic Waves 2. Wave Equation 3. Energy and Power of Waves Interference of Waves Standing Waves 1. The Doppler Effect

5-1 Motion of Rigid body刚体的平动、转动和定轴转动 5-2 Torque The Law of Rotation rotational Inertia力矩刚体定轴转动定律转动惯量 5-3 Applying the Law of rotation转动定律的应用 5-4 Kinetic Energy and Work in Rotational Motion定轴转动的动能定理 5-5 Angular Momentum of a rigid Body Conservation of Angular Momentum定轴转动的刚体的角动量定理和角动量守恒定律