Calculating Normal Force in a Bridge: Truck at x=29m - Step by Step Guide

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In summary, the problem involves a bridge with a length of 72 m and a mass of 64000 kg, supported at each end. A truck with a mass of 20000 kg is located 29 m from the left support. The task is to calculate the normal force at each support, which is equivalent to the tension in this problem. To solve this, one must consider the normal force as the vertical force acting as a reactive force at the support. By treating each support as a possible origin of the system, the necessary upward force can be determined to keep the sum of torques equal to zero.
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kitty9035
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1. Homework Statement [
A bridge of length L=72 m and mass 64000 kg is supported at each end. A truck of mass 20000kg is located at x=29m from the left support. Calculate the normal force at each support.

Homework Equations


T=F x sinx


The Attempt at a Solution


Is the normal force the same as the tension?
 
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  • #2
I'd assume the 'normal' force at the support is the 'vertical' force, i.e. the statical force acting as a reactive force at the support.
 
  • #3
think of each support as different possible origins of your system. Then figure out the upward force necessary to keep the sum of torques equal to zero.
 

1. What is torque?

Torque is a measure of the rotational force applied to an object. It is commonly measured in units of Newton-meters (Nm) or foot-pounds (ft-lb).

2. How is torque calculated?

Torque is calculated by multiplying the force applied to an object by the distance from the point of rotation to the point where the force is applied. This can be represented by the formula: Torque = Force x Distance.

3. What is the difference between torque and horsepower?

While both torque and horsepower are measures of an object's ability to do work, torque specifically refers to rotational force, while horsepower refers to the rate at which work is done.

4. How does torque affect an object's motion?

Torque is responsible for causing an object to rotate around an axis. The magnitude and direction of the torque will determine the speed and direction of the object's rotation.

5. What factors can affect torque?

The amount of force applied, the distance from the point of rotation, the angle at which the force is applied, and the object's mass and shape can all affect torque. Additionally, the type and condition of the surface the object is on can also impact torque.

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