A cantilevered steel arm supports light assembly as shown in the following figure. The total weight of 10 lb of the light assembly is subjected to white noise as shown in the following figure. The...

A cantilevered steel arm supports light assembly as shown in the following figure. The total weight of 10 lb of the light assembly is subjected to white noise as shown in the following figure. The power spectrum density input due to wind-induced vibration is S0 = 0.3 G2/ Hz from 5 to 40 Hz. If the random vibration duration is 10 min, determine the remaining life of the system. Assume that the steel bar has Sut = 80 kpsi and damping of c = 0.35 lb/in/s.