First slide

Mechanical equilibrium force cases

Question

From the figure, if the mass is at equilibrium then find T₁ and T₂

Moderate

A

100 N, 100 $\sqrt{3}$ N
B

200 N, 100√3 N
C

100 $\sqrt{3}$ N, 200 N
D

100√3 N, 100 N

Solution

From Lami's Theorem
$\frac{T_{1}}{\sin (90^{0} + 60^{0})} = \frac{T_{2}}{\sin (90^{0} + 30^{0})} = \frac{200}{\sin 90^{0}}$
$\frac{T_{1}}{\cos 60^{0}} = \frac{T_{2}}{\cos 30^{0}} = 200$
⇒ T₁ = 100 N; T₂ = 100√3 N

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