Case Problem:
Show mathematically how two 3rd-class levers joined together in a series increase angular velocity versus using a single 3rd-class lever. For example, a football player kicking the ball from the tee. Compare when he kicks it with his kicking leg maintained in a straight condition, i.e. only his hip joint rotating (keeping his knee locked allowing no rotation at the knee) as a single 3rd-class lever, versus, more typically, kicking the ball normally by allowing both his hip and knee to rotate during the kicking event. In other words, show how the angular velocity of the kicker's foot is increased when he rotates both knee and hip during the kicking action and how the two levers provide more mechanical advantage over a single lever (hip rotation only scenario).