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

In summary, tension in a suspension bridge refers to the force that is pulling on the cables that support the bridge. It is created when the weight of the bridge and any load or traffic is transferred to the cables and is important for distributing weight evenly and providing stability. Tension can be controlled through various mechanisms and can be affected by factors such as bridge weight, cable strength, and external forces. Regular maintenance and monitoring are necessary to ensure safe tension levels in a suspension bridge.
  • #1
forcesand
1
0

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!
 

Attachments

  • bridge.bmp
    243.4 KB · Views: 530
Physics news on Phys.org
  • #2
Welcome to PF

Hi forcesand! Welcome to PF! :smile:

Use moments (of forces). :wink:
 

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

1. What is tension in a suspension bridge?

Tension in a suspension bridge refers to the force that is pulling on the cables or ropes that support the bridge. This tension is necessary to keep the bridge stable and prevent it from collapsing under its own weight.

2. How is tension created in a suspension bridge?

Tension in a suspension bridge is created when the weight of the bridge and the weight of any load or traffic on the bridge is transferred to the cables. The cables then transfer this tension to the anchorages on either side of the bridge.

3. Why is tension important in a suspension bridge?

Tension is important in a suspension bridge because it helps distribute the weight of the bridge evenly and provides stability. If there is not enough tension in the cables, the bridge may sag or collapse. However, too much tension can also be dangerous as it can cause the bridge to become too rigid and unable to withstand strong winds or earthquakes.

4. How is tension controlled in a suspension bridge?

Tension in a suspension bridge is controlled through the use of various mechanisms, such as turnbuckles, dampers, and stays. These devices allow engineers to adjust the tension in the cables as needed to keep the bridge stable and safe for use.

5. What factors affect the tension in a suspension bridge?

The tension in a suspension bridge can be affected by several factors, including the weight of the bridge itself, the weight of any load or traffic on the bridge, the strength and flexibility of the cables, and external forces such as wind, weather, and seismic activity. Proper maintenance and monitoring are necessary to ensure the tension in a suspension bridge remains within safe and stable limits.

Similar threads

What Are the Tensions in Each Cable of a Suspension Bridge?
Replies
31
Views
4K
Determining Tension & Lift Force for Helicopter & Truck
Replies
6
Views
2K
with this tension problem -- Mass on an accelerating cable
Replies
3
Views
1K
Tension and net torque in a cable
Replies
10
Views
4K
What is the tension in the lift cable and in the string?
Replies
19
Views
3K
Find the angular acceleration of the bridge?
Replies
1
Views
3K
What is the angular acceleration of the rod?
Replies
18
Views
6K
Calculating Tension and Net Force in Suspended Cable System
Replies
3
Views
2K
Torque and rotational equilibrium question
Replies
6
Views
3K
How Do You Calculate Tension in a Cable and Force on a Hinge?
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top