Question

The forces $F_1,F_2,F_3.......F_n$acting at the same point Pare said to be in equilibrium if theresultant force is zero,

a) the resultant forces acting at P, and.

b) the additional force

required (if any) for the forces to be in equilibrium.

Short answer

a) If $F_1$ is and $F_2$is then resultant force at P is .

b) If $F_1$ and $F_2$ acting at point P, then the additional force F is for the forces to be in equilibrium.

Step-by-step solution

a.Step 1. Given Information

Given forces $F_1$ =

$F_2$=

Step 2. Applying the formula.

$P=F_1+F_2$

Use algebraic operation property

b.Step 1. Given Information.

Given forces $F_1$ =

$F_2$ =

Step 2. Applying the formula.

$P=F_1+F_2$

Use algebraic operation property

Assume additional force is

Then

For the equilibrium condition

$a+5=0$

$a=-5$

and

$b-3=0$

$b=3$

Then the required force F is