A120 kg machine is mounted on a spring of stffness 7.68x10 n/m with no viscous damping. during operation the machine develops a harmonic force at a frequency of 100 rad/s. is it better to use an accelerometer of natural frequency 600 rad/s or a seismometer of natural frequency 600 rad/s to measure the vibrations? explain.

An external consultant recommends that a plant installs a bank of capacitors for power factor correction. this will reduce the peak electrical demand charges by an average of 93 kw every month. the plant current pays $13 per kw in peak demand charges. the capacitor bank will include 223 kw of fixed capacitors, and 183 of variable capacitors. the fixed capacitors cost $59 per kw, and the variable capacitors will cost $65 per kw. the consultant charges 21% of the equipment costs to install the capacitors. because this project will reduce the demand for the electric utility, they are prepared to provide a one-time rebate of $42 per kw of reduced demand. what is the simple payback period for this project (in years)?