 Ch 5. Rigid Body General Motion Multimedia Engineering Dynamics Fixed Axis Rotation Plane Motion Velocities Zero Velocity Point Plane Motion Accelerations Multiple Gears Rot. Coord. Velocities Rot. Coord. Acceleration
 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 - CASE STUDY Introduction Problem Graphic People riding the spinning-disk ride at Fun Time, Inc. are complaining about high accelerations. An investigation found that the maximum acceleration was occurring at 2.4 seconds. What is known: The main disk rotates at Ω = 1 rad/s (θ = Ωt). The rider disk rotates at ω = 2 rad/s (β = ωt). Both angular velocities are constant. Both disks have no angular acceleration (dω/dt = 0, dΩ/dt = 0). Question What is the acceleration of the rider at 2.4 seconds and is it unsafe? Approach Use the relative acceleration equation for rotating coordinates, aB = aA + dΩ/dt × rB/A + Ω × (Ω × rB/A)              + 2 Ω × vB/A + aB/A

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