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 ratio of the weights indicated by a scale when only the front axle is on the scale versus when only the rear axle
is on the scale?
Select one:
O a. W front axles / Wirear axle) = 1.62
O b. Wifront axles / Wirear axle)
1.93
O c. W front axe) / Wirear asse) =
1.81
1/ We
O d. Wifront axle
(rear axle) = 2.06

The correct option is  C

Explanation:

From the question we are told that

    The distance between axles of the car  is  

     The position of the car's center of mass is  

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

substituting values

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

=>        

=>      

substituting values

                  Note [ is the front axle weight  and  

                                                      is the rear axle weight  ]