An accelerometer is designed with a seismic mass of 50 g, a spring constant of 5000 N/m, and a damping constant of 30 Ns/m. If the accelerometer is mounted to an object experiencing displacement, x
in(t) = 5 sin(100t) mm, find each of the following:
a. the actual acceleration amplitude of the object.
b. the amplitude of the steady state relative displacement between the seismic mass and the housing of the accelerometer.
c. the acceleration amplitude, as measured by the accelerometer.
d. an expression for the steady state relative displacement of the seismic mass relative to the housing as a function of time [xr(t)].