Therr workers trying to move a 1x1x1.2-m crate apply to the
cratethe three horizontal forces shown. (a) if p=240 n, replace the
threeforces with an equivalent force-couple system at a. (b)
replace theforce-couple system of part a with a single force, and
determinewhere it should be applied to side ab. (c) determine the
magnitudeof p so that the three forces can be
replaced witha single equivalent force applied at b.

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)?