By U.S. DEPARTMENT OF THE NAVY
CNATRA P-202 - basics of Aerodynamics 1998 (REPRINT).. free LEAF UNBOUND version NO BINDER.
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Extra resources for Fundamentals of Aerodynamics CNATRA P-202
Mass distribution and point of application of forces of a dynamical system clearly affect the resulting motion and must be taken into account. The motions are found by solving the system equations of motion which form the cause/effect model between the forces acting on the system and the resulting translational, rotational and deformational accelerations. In this chapter, we will first consider the dynamics of a single particle and then that of a system of particles. An example of a system of particles would be the solar system with the various planets within it idealized as particles.
Upon integrating Eq. 26) from time t1 to t2 the following work/energy equation is obtained. 4: A mass m of 10 kg has an initial kinetic energy of 40 Joules (1 Joule = 1 J = 1 kg m2 /s2 = 1 Nm). A constant force F = 4 N is acting on this mass from the initial position r(t0 ) = 0 m to the final position at r(tf = 10 m. What is the work done on the mass and what is the final velocity at tf ? Using Eq. 2 SINGLE PARTICLE DYNAMICS 35 Using Eq. 30) The momentum measure provides a sense of how difficult it will be to change a motion of a particle.
Let the spring have a spring constant k and a linear deflection x. 12) The current potential energy indicates how much work was performed to stretch the spring from a zero reference deflection state to the deflection x. The force exerted by the spring on a mass m is given by the famous Hook’s Law. 1: Let us find a first order approximation of the gravity potential function in Eq. 6) that a body with m would experience near the Earth’s surface. Assume a spherical Earth with radius Re and mass me .