What is the period for vibrations for the given system Ignor

What is the period for vibrations for the given system? Ignore the mass of the rollers. 3.12 sec/cycle 4.47 dec/cycle 1.40 sec/cycle 2.41 sec/cycle 3.79 sec/cycle

Solution

Angular Frequency of vibration for spring mass system is given by

Wn =   sqrt(k/m)   = sqrt(2000 / 100)   = 4.472 radian/sec

period of vibrations = 2 * pi / Wn   = 2 * 3.14 / 4.472   = 1.4 sec/cycle

option 3 is correct