Problem $17\mathrm{.}14$

The portable hydraulic crane with mass $m_G=60kg$ is stationary as it lifts the crate with mass $m_C=110kg$ vertically with acceleration $a_C.$ The mass center of the crate is at $C$ and the mass center of the crane is at $G.$ If $d=0\mathrm{.}145m,l=1\mathrm{.}3m,$ and $h=0\mathrm{.}27m,$ determine the maximum value of the acceleration $a_C,$ such that no wheel reaction exceeds $400$ N $.$ Assume that the crane is laterally symmetric so that the loads on the front wheels are equal and the loads on the rear wheels are equal.