If thehangingasss displacedtomtheequilibriumpositionand released, then simple harmonic motion (SHM) will occur. SHM means thatpositionchangewitha sinusoidalependencetime x=x cos wt) Thefollowingaretheequationforvelocityandacceleration v= x w cos wt a= x wacos ct) .. a= wax By substitutirequations 2, 4 and 1 intoNewton'Seconddaw, one canderiveheequationortheangularresonarfrequencyf the oscillatingystem m where k is thespringonstarand m themasofthesystem undergoirthesimplearmonimotionTheunitof angulafrequency is radians per second = rad S Thenaturalesonarfitequenoof theoscillatoranbechangebly changingithethespring onstarodrtheoscillatingassUsinga stifferspringvouldncreasthefrequencyf theoscillatingystem Adding mass to the system would decrease its resonant frequency. Two other important characteristics of the oscillation system are period (T) andinearfrequency f). Theperiodoftheoscillationis thetimeit takeanobjectocompleteneoscillationLinearfrequens the numbeoftheoscillationseronesecondTheperiods inversely proportional to the linear frequency. T = Theunitoftheperiods a seconds) andtheunitof thefrequens Hertzor s-1 Hz=_