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Chapter 9: Rotational Motion

Chapter 9: Rotational Motion. Rigid body instead of a particle Rotational motion about a fixed axis Rolling motion (without slipping). Angular Quantities. Kinematical variables to describe the rotational motion:  Angular position, velocity and acceleration. “ R ” from the Axis (O).

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Chapter 9: Rotational Motion

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

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

  4. Linear and Angular Quantities atan arad Rotational Motion

  5. Kinematical Equations Rotational Motion

  6. Chapter 10: Rotational Motion (II) Rigid body instead of a particle Rotational motion about a fixed axis Rotational dynamics Rolling motion (without slipping) Rotational Motion

  7. 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

  8. Rotational Dynamics: t (a) ax la (b) a lb m I Rotational Motion

  9. Note: t = F R sinq Rotational Motion

  10. Note: sign of t Rotational Motion

  11. Rotational Dynamics: I m2 m1 m3 Rotational Motion

  12. Rotational Dynamics: I d Rotational Motion

  13. Parallel-axis Theorem d Rotational Motion

  14. Parallel-axis Theorem Rotational Motion

  15. Example 1 Calculate the torque on the 2.00-m long beam due to a 50.0 N force (top) about (a) point C (= c.m.) (b) point P Calculate the torque on the 2.00-m long beam due to a 60.0 N force about (a) point C (= c.m.) (b) point P Calculate the torque on the 2.00-m long beam due to a 50.0 N force (bottom) about (a) point C (= c.m.) (b) point P Rotational Motion

  16. Example 1 (cont’d) Calculate the net torque on the 2.00-m long beam about (a) point C (= c.m.) (b) point P Rotational Motion

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