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If point A is in equilibrium under the action of the applied forces, the values of tension. TAC = ?

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  1. 520 N
  2. 150 N
  3. 400 N
  4. 450 N

Answer (Detailed Solution Below)

Option 3 : 400 N
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Detailed Solution

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Concept:

Lami's theorem:

It states that if three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two forces. Consider three forces FA, FB, FC acting on a particle or rigid body making angles α, β and γ with each other.

Therefore, 
Calculation:

Given:

We have angle BAC = 180° - (30° + 60°) = 90°

angle BAC = 90°

By Lami’s Theorem,

TAC = 400 N

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