A traveler at Newark airport pulls his 294N suitcase with constant velocity to the check-in counter applying a force of 159N at an angle of

Question

A traveler at Newark airport pulls his 294N suitcase with constant velocity to the check-in counter applying a force of 159N at an angle of 37 degrees with the horizontal. Calculate the Normal force, frictional force and the coefficient of friction between the suitcase and the airport floor.

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Latifah 5 years 2021-08-03T14:52:02+00:00 1 Answers 172 views 0

Answers ( )

  1. thaiduong
    0
    2021-08-03T14:53:57+00:00
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    Answer:

    N = 198.3 N,  fr = 126.98 N and    μ = 0.64

    Explanation:

    For this exercise we must use the translational equilibrium condition.

    Let’s set a reference system with the x-axis horizontally and the y-axis vertical. Let’s use trigonometry to decompose the applied force

          cos θ = Fₓ / F

          sin θ = F_y / F

          Fₓ = F cos θ

          F_y = F sin θ

          Fₓ = 159 cos 37 = 126.98 N

          F_y = 159 sin 37 = 95.69 N

    Y axis  

        N + F_y – W = 0

        N = W – F_y

        N = 294 – 95.69

        N = 198.3 N

    X axis

        Fₓ -fr = 0

         Fₓ = fr

         fr = 126.98 N

    the expression for the friction force is

           fr = μ N

           μ = fr / N

           μ = 126.98 / 198.3

           μ = 0.64

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