a forced mass spring damper system obeys the following linear dif36262
Question
A forced mass-spring-damper system obeys the following linear differential equation m \ddot{x}+c \dot{x}+k x=f The dependent variable 'x' represents displacement of the mass 'm'. The value of 'm', along with those of the specified undamped natural frequency on and damping ratio Ç are provided in the datasheet. Calculate the: (a) Required values of c and k in Sl units (b) Gain (dB) of the force-to-displacement transfer function x(s)/f(s) at angular (radian)frequencies o of 0.1, 1.0 and 10 times on.