( ( Shows ( ( the ( kinetic ( , ( potential ( and ( total ( energy density ) ) ) ) ) ) ) ( per ( ( unit length ) ( for ( ( a string ) ( vibrating ( as ( a ( standing ( sinusoidal wave ) ) ) ) ) ) ) ) ) ) ) . )
(ROOT (S (VP (VBZ Shows) (NP (NP (DT the) (JJ kinetic) (, ,) (JJ potential) (CC and) (JJ total) (NN energy) (NN density)) (PP (IN per) (NP (NP (NN unit) (NN length)) (PP (IN for) (NP (NP (DT a) (NN string)) (VP (VBG vibrating) (PP (IN as) (NP (DT a) (NN standing) (NN sinusoidal) (NN wave)))))))))) (. .)))
Shows the kinetic, potential and total energy density per unit length for a string vibrating as a standing sinusoidal wave.
(ROOT (S (PP (IN Like) (NP (NP (DT the) (NNS strings)) (PP (IN of) (NP (NN cello))))) (, ,) (NP (NP (NN anything)) (SBAR (WHNP (WDT that)) (S (VP (VBZ vibrates))))) (VP (VBZ produces) (NP (NP (NNS waves)) (PP (IN of) (NP (NN energy))))) (. .)))