A sphere of radius $0.10 \mathrm{m}$ and mass $10 \mathrm{kg}$ rests in the corner formed by a $30°$ inclined plane and a smooth vertical wall. Choose the correct options

If we take moments about an axis through the center of the sphere. Only $f$ can have a torque. 

$\sum \tau =0$; Take $\sum F_y=0$ yields

$N_2\cos 30°=mg=(10 \mathrm{kg})\left(9.8 \mathrm{m}/{\mathrm{s}}^2\right)$

$\sum F_x=0\text{ yields }{N}_2\sin 30°-N_1=0$

or $N_1=56.5 \mathrm{N},N_2=113 \mathrm{N}$