First slide

Mechanical equilibrium force cases

Question

The 4 kg block is suspended by two strings OA and OB as shown in figure. Then tension in the string OB is

Moderate

A

20 N
B

30 N
C

$20 \sqrt{3} N$
D

$\frac{40}{\sqrt{3}} N$

Solution

By Lami's theorem,
$\frac{T_{2}}{\sin (180^{o} - 30^{o})} = \frac{40}{\sin 90^{o}} \Rightarrow T_{2} = 20 N$

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