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

Rotational Motion

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

Linear and Angular Quantities atan arad Rotational Motion

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

Kinematical Equations Rotational Motion

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

Rotational Motion

Rotational Motion

Rotational Motion

Rotational Motion

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

Rotational Motion

Rotational Motion

Rotational Dynamics: I Rotational Motion

Parallel-axis Theorem Rotational Motion

Parallel-axis Theorem d Rotational Motion

Rotational Motion

Rotational Motion

Rotational Motion

Rotational Motion