The coefficient of friction can be given as,
[tex]\mu=\tan \theta[/tex]Plug in the known value,
[tex]\begin{gathered} \mu=\tan 31.52^{\circ} \\ =0.613 \end{gathered}[/tex]The force of static friction is given as,
[tex]f=\mu mg[/tex]Substitute the known values,
[tex]\begin{gathered} f=(0.613)(45.01kg)(9.8m/s^2)(\frac{1\text{ N}}{1kgm/s^2}) \\ =270.4\text{ N} \end{gathered}[/tex]Thus, the force of static friction is 270.4 N.
