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

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

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Diễm Thu 2 months 2021-07-18T23:33:43+00:00 1 Answers 1 views 0

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    2021-07-18T23:35:34+00:00

    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

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