 Ch 1. Particle General Motion Multimedia Engineering Dynamics Position,Vel & Accel. Accel. varyw/ Time Accel. Constant Rect. Coordinates Norm/Tang. Coordinates Polar Coordinates RelativeMotion
 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 - EXAMPLE Particle Motion along Path Example A particle moves along a wire that follows the curve y = 4(e2x + e-2x) at a constant velocity of 4 m/s. What is the normal acceleration of the particle when x = 0? Solution Partical at x = 0 Since the velocity is constant, there is no acceleration tangent to its path. However, there is acceleration normal (perpendicular) to the path as given by,       an = v2/ρ Need to determine, ρ dy/dx = d[ 4(e2x + e-2x) ] / dx               = 8 (e2x - e-2x )      d2y/dx2 = d[ 8(e2x - e-2x ) ] / dx                  = 16 (e2x + e-2x )      (dy/dx)x=0 = 8(1 - 1) = 0      (d2y/dx2)x=0 = 16(1 + 1) = 32 Substituting back into the acceleration equation,      an = v2/ρ = 42 (32) an = 512 ft/s2

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