Solution 5.4b

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\displaystyle mg=20\times 9\textrm{.}8=196\ \text{N}


Resolving up the plane


\displaystyle \begin{align} & F-mg\sin {{30}^{\circ }}=0 \\ & F=196\times 0\textrm{.}5=98\ \text{N} \\ \end{align}


Resolving in the normal direction


\displaystyle \begin{align} & R-mg\cos {{30}^{\circ }}=0 \\ & R=196\times 0\textrm{.}866=170\ \text{N} \\ \end{align}