Note can develop good approximation of key aircraft motion(Phugoid) using simple balance between kinetic and potential energies. Consider an aircraft in steady, level flight with speed U and height ho. The motion is perturbed slightly so that
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
In lecture D9, we saw the principle of impulse and momentum applied to particle motion. This principle was of particular importance when the applied forces were functions of time and when interactions between particles occurred over very short times, such as with impact forces. In this lecture, we extend these principles to two dimensional rigid body dynamics. Impulse and Momentum Equations Linear Momentum In lecture D18, we introduced the equations of motion for a two dimensional rigid body. The linear momen- tum for a system of particles is defined
In this lecture we will look at some applications of Newton's second law, expressed in the different coordinate systems that were introduced in lectures D3-D5. Recall that Newton's second law F=ma, (1) is a vector equation which is valid for inertial observers. In general, we will be interested in determining the motion of a particle given
is a vector equation that relates the magnitude and direction of the force vector, to the magnitude and direction of the acceleration vector. In the previous lecture we derived expressions for the acceleration vector expressed in cartesian coordinates. This expressions can now be used in Newton's second law, to produce the equations of motion expressed in cartesian coordinates
In this course we will study Classical Mechanics. Particle motion in Classical Mechanics is governed by Newton's laws and is sometimes referred to as Newtonian Mechanics. These laws are empirical in that they combine observations from nature and some intuitive concepts. Newton's laws of motion are not self evident. For instance, in Aristotelian mechanics before Newton, force was thought to be required in order
Definition: intra-articular and extra-articular processes may restrictjaw motion severely. Ankylosis of the TMJ is an intra-articular process characterized by fibrous,fibo- -osseous, or osseous obliteration(消失) of the joint space. Extracapsular causes of restricted jaw motion (pseudoankylosis) include but are not limited to coronoid-zygomatic fusion(融合), coronoid hypertropy, and muscular fibrosis
§14-4 Damped Vibration& Forced Vibration Resonance 阻尼振动 受迫振动 共振 §14-5 Superposition of two SHM with same Frequency in same Direction 同方向同頻率的简谐振动的合成 §14-6 Superposition of two Perpendicular SHM 相互垂直的简谐振动的合成 §14-3 The Energy of SHM 简谐振动的能量 §14-2 Amplitude Period Frequency & Phase 简谐振动的振幅, 周期，頻率和位相 §14-1 Simple Harmonic Motion (SHM) 简谐振动
14-1 Simple Harmonic Motion (SHM)简谐振动 14-2 Amplitude Period Frequency phase简谐振动的振幅,周期,頻率和位相 14-3 The Energy of SHM简谐振动的能量 14-4 Damped Vibration& Forced Vibration Resonance阻尼振动受迫振动共振 14-5 Superposition of two SHM with same Frequency in same Direction同方向同頻率的简谐振动的合成 14-6 Superposition of two Perpendicular SHM相互垂直的简谐振动的合成
