Question

The system shown in the figure is in equilibrium. The maximum value of $W$, so that the maximum value of static frictional force on $100kg$ body is $450N$, will be:

• A. $100N$
• B. $250N$
• C. $450N$
• D. $1000N$

Answer 1

The correct option is C $450N$

As shown in figure of FBD of the system,

Let tension in the string is $T_1$ and $T$ as shown in figure.

$\Rightarrow T_1=f=450N$

Using Lami's Theorem, $\Rightarrow \frac{T_1}{sin\left({135}^o\right)}=\frac{W}{sin\left({135}^o\right)}=\frac{T}{sin\left({90}^o\right)}$

$\Rightarrow W=T_1=450N$

Hence, the maximum value of the $W=450N$