Question

Five equal forces of 10 N each are applied at one point and all are lying in one plane. If the angles between them are equal, the resultant force will be

• A. Zero
• B. 10 N
• C. 20 N
• D. $10\sqrt{2}N$

Answer 1

The correct option is (A) Zero

Step 1,

Let the given five forces are $F_1,F_2,F_3,F_{4}and{F}_5$ .

All these forces are acting on the same point and the angle between them is equal

It can be represented as

Step 2,

By polygon rule of vector addition

$F_1+F_2+F_3+F_4=-F_5$

Or, $F_5=-F_5$

From the above equation, we can say that the resultant of all the forces will be zero.