 Ch 2. Particle Force and Acceleration dy Multimedia Engineering Dynamics Rect.Coord. Normal/Tang. Coord. PolarCoord. Orbital Mechanics Computational Mechanics
 Chapter - Particle - 1. General Motion 2. Force & Accel. 3. Energy 4. Momentum - Rigid Body - 5. General Motion 6. Force & Accel. 7. Energy 8. Momentum 9. 3-D Motion 10. Vibrations Appendix Basic Math Units Basic Equations Sections Search eBooks Dynamics Statics Mechanics Fluids Thermodynamics Math Author(s): Kurt Gramoll ©Kurt Gramoll DYNAMICS - CASE STUDY Introduction Problem Diagram A projectile is fired from a cannon into the air. The initial velocity of the projectile is known. The aerodynamic drag on the projectile is a function of the velocity. Integrating to find a solution for this problem could be difficult... Is there another way? What is known: The projectile is launched from x = 0, y = 0. The initial velocity of the projectile is vx = 400 ft/s       vy = 400 ft/s The aerodynamic drag force is given by Question What is the trajectory of the projectile for C = 0.002 ? C = 0.004 ? C = 0.006 ? Approach Because the force (and thus the acceleration) of the particle is given in terms of the absolute value of the velocity, integration to find position and velocity could be difficult. Solve this problem using a method of numeric integration, such as the finite-difference method. Drag equation is a vector relationship that needs to be applied in both vertical and horizontal direction.