Question

There are 3 people pulling on an object, the first person pulls with a force of 226 newtons at a direction of 145 degrees the second person pulls with a force of 331 newtons at a direction of 303 degrees. The third person pulls with a force of 377 newtons at a direction of 77 degrees. find the resultant vector . find the resultant force . find the direction

Answer 1

Answer:

$R=883.74N$

Step-by-step explanation:

From the question we are told that:

Force 1 $F_1=226N$

Force 2 $F_2=331N$

Force 3 $F_3=377N$

Direction 1  $\theta_1=145 degrees \approx 35 \textdegree (2nd qudrant)$

Direction 2 $\theta_2=303 degrees \approx 57 \textdegree (3rd qudrant)$

Direction 3 $\theta_3=77 degrees$

Generally Resolving forces to X axis is mathematically given by

 $\sum f_x=337cos77+331cos57+226sin35$

 $\sum f_x=351.596N$

Generally Resolving forces to Y axis is mathematically given by

 $\sum f_y=337sin77+331sin57+226cos35$

 $\sum f_x=810.788N$

Generally the equation for Resultant force R is mathematically given by

 $R=\sqrt{\sum f_x^2+\sum f_x^2}$

 $R=\sqrt{351.596^2+810.788^2}$

 $R=883.74N$