 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 - CASE STUDY Introduction Robotic Arm Problem A robotic arm on an assembly line handles delicate components. To properly place these components, the position of the arm must be specified as a function of time. If, however, the acceleration of the arm is too great, the components may be damaged. What is known: The arm moves along a linear path. The position of the arm is given by x(t) = 0.3 t2 - 0.2 t3 m   for 0 ≤ t ≤ 1.5 seconds Questions Knowing the position of the arm as a function of time, What is the velocity as a function of time? What is the acceleration as a function of time? Approach Analyze the rectilinear motion of a particle to determine the relationship between position, velocity, and acceleration. Use differentiation to determine the velocity and acceleration of the arm.

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