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Rotational Motion: Key Concepts and Equations

Explore concepts of rotational motion, angular quantities, kinematics equations, and the parallel-axis theorem. Learn about angular position, velocity, and acceleration, and the relationship between linear and angular quantities. Dive into solid disk and cylinder rotation, and grasp the mathematical principles governing rotational dynamics.

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Rotational Motion: Key Concepts and Equations

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  1. Chapter 9: Rotational Motion Rigid body instead of a particle Rotational motion about a fixed axis Rolling motion (without slipping) Rotational Motion

  2. Rotational Motion

  3. Angular Quantities Kinematical variables to describe the rotational motion: Angular position, velocity and acceleration Rotational Motion

  4. Linear and Angular Quantities atan arad Rotational Motion

  5. “R” from the Axis (O) Solid Disk Solid Cylinder Rotational Motion

  6. Angular Quantities: Vector Kinematical variables to describe the rotational motion: Angular position, velocity and acceleration Vector natures z R.-H. Rule y x Rotational Motion

  7. Kinematical Equations Rotational Motion

  8. 2r1 2r2 = N1 N2 2 1 vtan= same = r11= r22 Tooth spacing is the same N1 = N2 Rotational Motion

  9. Rotational Motion

  10. Rotational Motion

  11. Rotational Motion

  12. Rotational Motion

  13. 1 2 I =  R2 dm = M ( R12 + R22 ) dm =  dV =  2h RdR Rotational Motion

  14. Rotational Motion

  15. Rotational Motion

  16. Rotational Dynamics: I d Rotational Motion

  17. Parallel-axis Theorem Rotational Motion

  18. Parallel-axis Theorem d Rotational Motion

  19. Rotational Motion

  20. Rotational Motion

  21. Rotational Motion

  22. Rotational Motion

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