Question

A car has a distance between axles of 6.2 m and a center of mass located 2.2 m from the front axle. What is the

Answer 1

Answer:

The correct option is  C

Explanation:

From the question we are told that

    The distance between axles of the car  is  $d_a = 6.2$

     The position of the car's center of mass is  $D = 2.2 \ m \ in \ front \ of \ the \ axel$

Now  we can evaluate the distance of the center of mass to the rear axle as follows

        $k = d_a - D$

substituting values

      $k = 6.2 - 2.2$

      $k = 4 \ m$

assuming the car is   at equilibrium,  taking moment about the center of mass

          $W_{front \ axle} * D - W_{rear \ axle} * k = 0$

=>        $W_{front \ axle} * D = W_{rear \ axle} * k$

=>       $\frac{W_{front \ axle}}{W_{rear \ axle} } = \frac{k}{D}$

substituting values

             $\frac{W_{front \ axle}}{W_{rear \ axle} } = \frac{4}{2.2}$

           $\frac{W_{front \ axle}}{W_{rear \ axle} } = 1.81$       Note [$W_{front \ axle}$ is the front axle weight  and  

                                                      $W_{rear \ axle}$ is the rear axle weight  ]