10 Rotational Motion–I
10.1 The Rotational Variables
10.1.1 Angular Displacement Vector
10.1.2 Angular Velocity Vector
10.1.3 Angular Acceleration
10.1.4 Finite Rotations
10.1.5 Infinitesimal Rotations
10.2 Kinetic Energy of Rotation
10.3 Calculating the Rotational Inertia
10.3.1 (a) Hoop about central axis
10.3.2 (b) Annular cylinder about central axis
10.3.3 (c) Solid cylinder about central axis
10.3.4 (e) Thin rod about axis through center perpendicular to length
10.3.5 (g) The spherical shell about any diameter
10.3.6 (f) Solid sphere about any diameter
10.3.7 (h) Hoop about any diameter
10.3.8 Parallel-Axis Theorem
10.3.9 (d) Solid cylinder about central diameter
10.3.10 (i) Slab about perpendicular axis through center
10.4 Torque
10.5 Newton’s Second Law for Rotation
10.6 Work and Rotational Kinetic Energy
Unlike the linear displacement,
the angular displacement vector for the resulting rotation can not be taken to be the sum of the two angular displacement vectors that describe the two consecutive rotations.