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

  • Thread starter Thread starter kitty9035
  • Start date Start date
  • Tags Tags
    Torque
AI Thread Summary
To calculate the normal force at each support of a bridge with a truck positioned at x=29m, one must consider the bridge's total length of 72m and its mass of 64,000 kg, alongside the truck's mass of 20,000 kg. The normal force is not the same as tension; it represents the vertical reactive force at the supports. Analyzing the system involves setting the sum of torques to zero to determine the upward force required at each support. This approach allows for the calculation of the normal forces acting on both ends of the bridge. Understanding these principles is essential for accurate calculations in structural mechanics.
kitty9035
Messages
17
Reaction score
0
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?
 
Physics news on Phys.org
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.
 
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.
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
Back
Top