First slide

Mechanical equilibrium force cases

Question

As shown in figure the tension in the horizontal cord is 30 N. The weight W and tension in the string OA (in newton) are

Moderate

A

$30 \sqrt{3}, 30$
B

$30 \sqrt{3}, 60$
C

$60 \sqrt{3}, 30$
D

None of these

Solution

From the figure $T \sin 30^{0} = 30$
$Tcos 30^{0} = W$
By solving equations (i) and (ii), we get
$W = 30 \sqrt{3} N and T = 60 N$

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