Question

In the fig the bar is uniform and weighting $500N$. How large must W be if $T_1$ and $T_2$ are to equal?

• A. $500N$
• B. $300N$
• C. $750N$
• D. $1500N$

Answer 1

The correct option is D $1500N$

Given , $T_1=T_2=T$ (say for our convinience) in problem solving.)
Apply torque equation about COM of ROD;
$T\left(0.5L\right)=T\left(0.2L\right)+W\left(0.2L\right)$
$\Rightarrow w=\frac{3W}{2}$-------->1
apply torque equation about point at which W is tied,
$T\left(0.4L\right)=T\left(0.3L\right)+500\left(0.2L\right)$
$\Rightarrow T=1000N$ .
substitute T ,calculated in 1;
W=1500N.