A truck is driving over a scale at a weight station. When the front wheels drive over the scale, the scale reads 5800 N. When the rear wheel

Question

A truck is driving over a scale at a weight station. When the front wheels drive over the scale, the scale reads 5800 N. When the rear wheels drive over the scale, it reads 6500 N. The distance between the front and rear wheels is 3.20 m Determine the distance between the front wheels and the truck’s center of gravity.

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Orla Orla 3 years 2021-07-16T04:42:40+00:00 1 Answers 24 views 0

Answers ( )

  1. Xavia
    0
    2021-07-16T04:44:04+00:00
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    Answer:

    x_2=1.60m

    Explanation:

    From the Question We are told that

    Initial Force F_1=5800N

    Final Force F_2=6500N

    Distance between the front and rear wheels \triangle x=3.20 m

    Since

     \triangle x=3.20 m

    Therefore

     x_1+x_2=3.20

     x_1=3.20-x_2

    Generally the equation for The center of mass is at x_2 is mathematically

    given by

     x_2 =\frac{(F_1x_1+F_2x_2)}{(F_1+F_2)}

     x_2=3.20F_1-\frac{x_2F_1+F_2x_2}{(F_1+F_2)}

     2*F_1*x_2 =3.20F_1

     x_2=1.60m

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