 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 Fluids Math Mechanics Statics Thermodynamics Author(s): Kurt Gramoll ©Kurt Gramoll DYNAMICS - EXAMPLE Wire with Bead Example A curved wire is in the shape of r = 3θ. If a bead, point A, moves along the curve at a constant rate of dθ/dt = 8 rad/s, what is the acceleration magnitude at A? Distance units are meters. Solution Acceleration Vectors of Bead The total acceleration is a combination of both the r and θ accelerations. The r terms can be found by taking derivatives, The θ terms are given, Combining equations and terms give, The total acceleration is      a = (ar2 + aθ2)0.5 = ( -201.12 + 3842)0.5 =       v = 433.5 m/s2

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