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11 August, 05:15

Two forces of 6 lbs and 8 lbs act on an object. If these two forces form an angle of 60, then find the magnitude of the resultant force.

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  1. 11 August, 05:43
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    The magnitude of Resultant force is F = 7.21-lbs

    Explanation:

    Two forces acting on an object which are named as F1 and F2.

    The angle formed by the forces are 60-degrees

    F1 = 6-lbs, F2 = 8-lbs

    theeta = 60°

    F = √F1²+F2²-2 (F1) (F2) cos (theeta)

    F = √ (6) ² + (8) ²-2 (6) (8) cos (60)

    F = √36+64 - (96) cos (60)

    F = 7.21-lbs

    where,

    F1 = magnitude of force 1

    F2 = magnitude of force 2

    theeta = angle formed by forces
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