Question

If the resultant of two forces 6N and 8N is 12N. Find the angle between them

Answer 1

Explanation:

Two forces 6N and 8N acting at a point have their resultant 10N. ... If the angle between the two forces is 60 degrees, what is the magnitude of the resultant force? .... Is these dot product if dot product then.

Answer 2

The angle between two forces is 62.72 degrees.

Explanation:

It is given that,

Force 1, $F_1=6\ N$

Force 2, $F_2=8\ N$

Resultant of force, $F_R=12\ N$

Let $\theta$ is the angle between two forces. The resultant of two force is given by :

$F_R=\sqrt{F_1^2+F_2^2+2F_1F_2\ cos\theta}$

$12=\sqrt{6^2+8^2+2\times 6\times 8\ cos\theta}$

$12=\sqrt{100+96\ cos\theta}$

$144=100+96\ cos\theta$

$44=96\ cos\theta$

$cos\theta=0.45833^{\circ}$

$\theta=62.72^{\circ}$

So, the angle between two forces is 62.72 degrees.

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