
${F=\mu R=0.5 \times m g=0.5 \times 60=30 \mathrm{N}}$
$\mathrm{Now}$ $\mathrm{F}=\mathrm{T}_{1}=\mathrm{T}_{2} \cos 45^{\circ}$
$\text { or } \quad 30=\mathrm{T}_{2} \cos 45^{\circ}$
${\text { and }} {W=T_{2} \sin 45^{\circ}} $
${\therefore \quad} {W=30 \mathrm{N}}$

$Statement$ $(I)$ : The limiting force of static friction depends on the area of contact and independent of materials.
$Statement$ $(II)$ : The limiting force of kinetic friction is independent of the area of contact and depends on materials.
In the light of the above statements, choose the most appropriate answer from the options given below:

$Image$
$(A)$ $\mu_1=0 \mu_2 \neq 0$ and $N _2 \tan \theta=\frac{ mg }{2}$
$(B)$ $\mu_1 \neq 0 \mu_2=0$ and $N_1 \tan \theta=\frac{m g}{2}$
$(C)$ $\mu_1 \neq 0 \mu_2 \neq 0$ and $N _2 \tan \theta=\frac{ mg }{1+\mu_1 \mu_2}$
$(D)$ $\mu_1=0 \mu_2 \neq 0$ and $N _1 \tan \theta=\frac{ mg }{2}$