A pendulum consists of a mass m at the end of a massless stick of length l The other end of the stick is made to oscillate vertically with a position given by y(t) = A cos(?t), where A < l.= see= fig.= it= turns= out= that= if= ?= is= large= enough= and= if= the= pendulum= is= initially= nearly= upside-down,= then= it= will= surprisingly= not= fall= over= as= time= goes= by.= instead,= it= will= (sort= of)= oscillate= back= and= forth= around= the= vertical= position.= find= the= equation= of= motion= for= the= angle= of= the= pendulum= (measured= relative= to= its= upside-down= position).= and= explain= why= the= pendulum= doesnt= fall= over,= and= find= the= frequency= of= the= back= and= forth= motion.=>
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