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 - EXAMPLE Rotating Bracket Example A angled bracket rotates about a fixed shaft O. If the tangential acceleration and velocity of point B is 400 ft/s2 and 60 ft/s, respectively, what is the total acceleration magnitude of point A? Solution Angular Velocity and Acceleration This problem is a basic fixed-axis rotation problem since the problem explicitly states there is a fixed shaft. First, determine the angular velocity and angular acceleration. Angular Velocity      vB = rB ω      60 = 2 ω      ω = 30 rad/s Angular Acceleration      aBt = rB α      400 = 2 α      α = 200 rad/s2 Use ω and α to find normal and tangent acceleration of point A      aAt = rA α            = (1.5)(200) = 300 ft/s2      aAn = ω2rA            = 900 (1.5) = 1,350 ft/s2 Total Acceleration      aA = (1,3502 + 3002)0.5 = 1,383 ft/s2 A = 1,383 ft/s2

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