How Do You Calculate Cable Tensions in a Suspension Bridge with a Parked Truck?

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To calculate the tensions in the cables of a suspension bridge with a parked truck, the bridge must be considered in equilibrium. The mass of the truck, positioned 4.0 m from one cable, affects the tension distribution. Moments of forces around one of the cables can be used to derive the equations needed to solve for the tensions in both cables. It's essential to account for the weight of the truck and the bridge when setting up the equations. Understanding how to apply these principles will lead to the correct tension values in the cables.
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Homework Statement


A small massless suspension bridge of length 15.0 m and mass is suspended by two cables as shown below. A truck of mass 2500 kg is parked on the bridge at a distance of 4.0 m from the left cable. What are the tensions in cable 1 and cable 2?


Homework Equations





The Attempt at a Solution


I have started with the idea that the bridge is at equilibrium. But I don't know how to include the truck into the problem solving. Please help! Thanks!
 

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Hi forcesand! Welcome to PF! :smile:

Use moments (of forces). :wink:
 
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