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  • There are four forces acting at a point P produced by strings as shown in the figure, which is at rest. Find the forces F_1 and F_2.

There are four forces acting at a point P produced by strings as shown in the figure, which is at rest. Find the forces F1 and F2.

Answers (1)

a = 0 … (since the particles are at rest).

 Hence, the resultant force & net components along X & Y axis will also be 0.

Let us resolve all the forces along X-axis,

Fx = 0,

F_{1} + 1 \cos 45^{\circ} - 2 \cos45^{\circ}= 0

Or, F_{1} - 1 \cos 45^{\circ} = 0

F_{1} = \cos 45^{\circ}  

               =\frac{ 1.414}{2}

                = 0.707 N

Now let us resolve all the forces along Y-axis

Fy = 0

-F_{2} + 1 \cos 45^{\circ} - 2 \cos45^{\circ}= 0

-F_{2} =- 3 \cos 45^{\circ}

      = 3 (0.707)

      = 2.121 N

Posted by

infoexpert24

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