In fact, in very complex applicaitons like launching rockets and satellites too, the principles of classical mechanics play a very important role. The laws have been cast into various different forms and methods - Newtonian mechanics, Lagrangian Mechanics and Hamiltonian Mechanics these methods are used according to which provides the answer most easily and conveniently.
Listed below are some of the interesting applications that classical mechanics finds.
Swing a Ball in Air ( Why are Golf balls Dimpled? ) This example shows an application of Bernoulli's theorem to explain the swing of a ball in air.
Lift a Car With Your Muscle Power This example describes a simple application of Pascal's law and how one can considerable reduce the force required to lift a car.
- Helium Balloon in a car - Strange Behavior This example shows the effect of pressure and bouyant force to describe why a helium ballon shows a strange behavior in a moving car.