Question

the two forces p and q acts on a bolt a. determine their resultant

Answer 1

Your answer is given below

Answer 2

Given:

There are two forces given

P=40N, Q=60N

The Angle between the forces, $\alpha = 25^o$

To Find:

Determine the Resultant force?

Explanation Step by Step:

• There are two forces are given P and Q, Which are acting on a point at an angle of $\alpha = 25^o$.
• We can find the resultant for these two forces by applying Law of Parallelogram and apply the following formula over the given figure:

        $R^2= P^2+Q^2+2PQ \cos \alpha$

• Put the value of all variables in the above formula:

         $R^2 = 40^2+ 60^2+ 2\times 40\times 60 \cos 25^o\\R^2= 1600 + 3600 + 11520000 \times 0.9912\\R^2 = 5200 + 11418656.39\\R^2 = 11423856.39\\R = \sqrt{11423856.39}\\R = 3379.91 N$

The Resultant will be "3379.91 N".