question_answer

In a simple spring mass vibrating system, the natural frequency \[{{\omega }_{n}}\] of the system is (k is spring stiffness m is mass and \[{{m}_{s}}\] is spring mass):

A) \[\sqrt{\frac{k}{m-\frac{{{m}_{s}}}{3}}}\]                    

B) \[\sqrt{\frac{k}{m+\frac{{{m}_{s}}}{3}}}\]

C) \[\sqrt{\frac{k}{m+3{{m}_{s}}}}\]                   

D) \[\sqrt{\frac{k}{m-3{{m}_{s}}}}\]