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

`R=883.74N`

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=√(\sum f_x^2+\sum f_x^2)`

`R=√(351.596^2+810.788^2)`

`R=883.74N`