Two forces of 20 N and 10 N are making an angle of 120 degree with eachother. find a single pull that would (a) replace the given forces sys

Question

Two forces of 20 N and 10 N are making an angle of 120 degree with eachother. find a single pull that would (a) replace the given forces system (b) balance the given forces system.

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Đan Thu 1 week 2021-07-19T16:57:01+00:00 1 Answers 5 views 0

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    2021-07-19T16:58:36+00:00

    Answer:

    (a) The resultant force is 26.46 N

    (b) upward forces = downward forces = 30 N

    Explanation:

    Given;

    two forces, 20 N and 10 N

    angle between the forces, θ = 120°

    (a)

    The resultant force is given by cosine rule;

    R² = 20² + 10² – 2(20 x 10)Cos120

    R² = 500 – (-200)

    R² = 500 + 200

    R² = 700

    R = √700

    R = 26.46 N

    (b)

    sum of the upward forces = sum of the downward forces

    F_u_p = F_d_o_w_n\\\\F_u_p =  20 + 10\\\\F_u_p =30 \ N

    downward forces = 30 N

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