Question

two force of 100N and 150N are acting simultaneously at a point. what is the resultant of two force. If the angle between them is 45°.​

Answer 1

Given:

100 N and 150 N are acting at same point at an angle of 45°.

To find:

Net resultant of the forces?

Solution:

Let net force be 'F'.

Applying expression for vector addition:

$\rm \: F = \sqrt{ {100}^{2} + {150}^{2} + 2.100.150. \cos( {45}^{ \circ} ) }$

$\rm \implies \: F = \sqrt{ 10000 + 22500 + \dfrac{300000}{ \sqrt{2} } }$

$\rm \implies \: F = \sqrt{ 10000 + 22500 + 15000 \sqrt{2} }$

$\rm \implies \: F = \sqrt{53713.2}$

$\rm \implies \: F = 231.76 \: N$

So, net force is 231.76 N