33106 Lecture Notes - Lecture 3: Cross Product, Angular Velocity
Document Summary
4 september 2015 (cid:126)a (cid:126)b = (cid:126)b (cid:126)a (cid:126)a ( (cid:126)b + (cid:126)c) = (cid:126)a (cid:126)b + (cid:126)a (cid:126)c. Algebraic (cid:126)a (cid:126)b = (ax i + ay j + az. K) (bx i + by j + bz z) = (aybz azby) i + (azbx axbz) j + (axby aybx) k (cid:126)a (cid:126)b = Torque is the force applied times the distance from the axle. The force applied is only the component perpendicular to (cid:126)r. to nd the component force perpendicular to the (cid:126)r is through the use of the cross product. The right hand rule is also used to determine the direction that angular velocity is applied. A circle on this page turning counterclockwise would have a angular velocity vector pointing out of the page. Describing the geometry of motion for ideal particles (points having no size or structure). However, they have mass. x(t) is a complete description of a particle.
