E. Circular Motion and Rotation

E.1 Uniform Circular Motion

E.1.a Relate radius and speed to acceleration

E.1.b Direction of velocity and acceleration

E.1.c Components of velocity and acceleration vectors, graphs

E.1.d Forces associated with Circular Motion

E.1.d.1 Horizontal Circles

E.1.d.2 Vertical Circles

E.2 Torque and Rotational Statics

E.2.a.1 Calculate the Magnitude and Direction of Torque

E.2.a.2 Calculate the Torque on a rigid body due to gravity

E.2.b.1 State the conditions for translational and rotational equilibrium

E.2.b.2 Apply conditions for translational and rotational equilibrium

E.2.c.1 Determine by inspection rotational inertia of symmetrical objects.

E.2.c.2 Rotational Inertia changes due to change in objects dimensions

E.2.d.1 Calculating rotational inertia of collection of point masses

E.2.d.2 Calculating rotational inertia of thin rod

E.2.d.3 Calculating rotational inertia of coaxial shells (disc, ring)

E.2.4 State and apply the Parallel Axis Theorem

E.3.c.5 Analyze problems involving strings and massive pulleys

E.4.a.3 Angular Momentum Vector

E.4.b.4 Analyze a collision between a moving particle and a rigid object