First slide

Motion in a plane

Question

Eleven forces each equal to 5 N act on a particle simultaneously. If each force makes an angle 30º with the next one, the resultant of all forces is

Moderate

A

15N
B

55 N
C

5 N
D

zero

Solution

$\fn_phv \large \frac{{2\pi }}{N} = \frac{\pi }{6} \Rightarrow N = 12$

Here (N - 1) forces are acting along the N-Polygon.

Hence, resultant = 5 N

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