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.

Answer 1

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

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

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

 $2*F_1*x_2 =3.20F_1$

 $x_2=1.60m$