# 11.1.4. Equilibrium of a Rigid Body under the Effect of Coplanar Forces Meeting at a Point

In the figure below, a force having a magnitude of N is acting on a particle at making an angle measuring with the horizontal. Two strings are connected to the particle at the point , and their other ends are attached to and , which are on the same horizontal line. If the particle is in equilibrium, find the tension in each string to the nearest two decimal places.

• AN, N
• BN, N
• CN, N
• DN, N

### Example

In the figure below, a force having a magnitude of N is acting on a particle at making an angle measuring with the horizontal. Two strings are connected to the particle at the point , and their other ends are attached to and , which are on the same horizontal line. If the particle is in equilibrium, find the tension in each string to the nearest two decimal places.

### Solution

The particle is in equilibrium under the forces , , and .

By applying Lami's rule,

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