Force Profile of a Hinged Rod on the Ground

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TL;DR Summary
Torque, Distributed Load, Hinged Rod
A rod of length 'L' is hinged at one of its ends and is lying on the ground. A torque 'T' is applied to it at the hinge such that it pushes the rod into the ground. What will be the force profile on the ground since the entire length of the rod touches the ground? Assume the rod is weightless.
 
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  • #2
Welcome! :smile:

Please, show your best attempt to answer the question, based on what you have learned about torque and distributed loads.
Thank you.
 
  • #3
I can calculate the force on a given point by F = T/L. But, since the entire length is touching I am not sure. Force near the pivot will be more and at the end it will be the least.
 
  • #4
Thread locked. @arihantsinghi, please post your homework request in the Homework Help section, under Intro Physics Homework, and including your effort to solve the problem.
Also, do not post the same problem more than once.
 

Related to Force Profile of a Hinged Rod on the Ground

1. What is a force profile of a hinged rod on the ground?

A force profile of a hinged rod on the ground is a graphical representation of the distribution of forces acting on a rod that is hinged at one end and resting on the ground. It shows how the force varies along the length of the rod due to different external factors.

2. How is the force profile of a hinged rod on the ground calculated?

The force profile of a hinged rod on the ground is calculated by analyzing the external forces acting on the rod, such as gravity, applied loads, and constraints at the hinge point. By applying principles of statics and mechanics, the distribution of forces along the rod can be determined.

3. What factors can influence the force profile of a hinged rod on the ground?

Several factors can influence the force profile of a hinged rod on the ground, including the magnitude and direction of applied loads, the length and material properties of the rod, the angle of inclination, and the presence of any additional supports or constraints.

4. Why is it important to study the force profile of a hinged rod on the ground?

Studying the force profile of a hinged rod on the ground is important for understanding the structural behavior of the rod and ensuring its stability and safety. By analyzing the distribution of forces, engineers can design more efficient and reliable structures that can withstand various loading conditions.

5. How can the force profile of a hinged rod on the ground be optimized?

The force profile of a hinged rod on the ground can be optimized by adjusting the design parameters, such as the material properties, cross-sectional dimensions, and support conditions of the rod. By carefully considering these factors, engineers can minimize stress concentrations and ensure a more uniform distribution of forces along the rod.

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