Q$2.[0\mathrm{.}6\backslash \%]$

Object $\backslash ($ B $\backslash )$ is leaning against a wall while sitting on a wedge W $.$ The weight of B is $1000$ N $.$ If $\backslash (\backslash$theta$=10\backslash$mathrm$\{$deg$\},\backslash$mu$=0\mathrm{.}3\backslash )($for all surfaces$)$ and the weight of the wedge is almost zero when compared to the weight of $\backslash ($ B $\backslash ),$ calculate the following:

$($a$)$ The minimum force, P $,$ required to push the wedge into the gap between B and the ground.

$($b$)$ The Normal forces, N$1,$ N$2$ and N$3$ and the frictional forces, F$1,$ F$2$ and F$3$ created by this minimum force P$.$ Hint: Use the Free Body Diagrams provided.