What are the supporting forces for a car parked on a bridge?

[n_ds]

Hi

i tried this problem a couple times but could not figure out...thought maybe i could get some help

1. Homework Statement [/b]

A 10 000 -kg bridge of length 10 m is supported at both ends. If a 2000-kg car is parked on the bridge 3.0 m
from the left support, what are the supporting forces at the left and right ends?

Thanks

confused

 

[radou]

Why didn't you use the complete template and show some equations/attempts to solve the problem? I'm sure you know at least something to start from.

 

[kyle8921]

Dear confused,

The supporting forces for a car parked on a bridge are the forces exerted by the bridge on the car and the forces exerted by the car on the bridge. These forces are balanced and must be equal in magnitude and opposite in direction.

The force exerted by the bridge on the car is the reaction force, which is equal to the weight of the car. This is due to Newton's third law of motion, which states that for every action, there is an equal and opposite reaction.

The force exerted by the car on the bridge is the normal force, which is the force perpendicular to the surface of contact between the car and the bridge. This force is equal to the weight of the car, as the car is not accelerating vertically.

In this specific problem, the supporting forces at the left and right ends of the bridge can be calculated using the principle of moments. The left supporting force can be found by taking moments about the right support, and the right supporting force can be found by taking moments about the left support.

I hope this helps clarify the concept of supporting forces for a car parked on a bridge. If you need any further assistance, please do not hesitate to ask. Best of luck with your problem!