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

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

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

Linear and Angular Quantities atan arad Rotational Motion

Kinematical Equations Rotational Motion

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

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

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

Note: t = F R sinq Rotational Motion

Note: sign of t Rotational Motion

Rotational Dynamics: I Rotational Motion

Rotational Dynamics: I Rotational Motion

Parallel-axis Theorem d Rotational Motion

Parallel-axis Theorem Rotational Motion

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

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