Force Profile of a Hinged Rod on the Ground

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In summary, the "Force Profile of a Hinged Rod on the Ground" explores the distribution of forces acting on a rod that is pivoted at one end and rests on a surface. It examines how gravitational forces, normal forces, and friction interact to maintain equilibrium. The study highlights the importance of the angle of inclination, the length of the rod, and the position of the center of mass in determining the resultant forces and torques. The analysis provides insights into static equilibrium conditions and the mechanics governing rigid body dynamics.
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arihantsinghi
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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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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.
 

FAQ: Force Profile of a Hinged Rod on the Ground

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

The force profile of a hinged rod on the ground describes the distribution and magnitude of forces acting on the rod, including the reaction forces at the hinge and the contact forces along the rod's length due to its interaction with the ground.

How do you calculate the reaction forces at the hinge of a hinged rod on the ground?

To calculate the reaction forces at the hinge, you need to consider both the vertical and horizontal components of the forces. This typically involves resolving the forces acting on the rod into their components and applying equilibrium conditions (sum of forces and moments equal to zero) to solve for the unknown reaction forces.

What factors influence the force distribution along a hinged rod on the ground?

The force distribution along a hinged rod on the ground is influenced by factors such as the rod's length, mass, angle of inclination, friction between the rod and the ground, and any external loads applied to the rod.

How does friction affect the force profile of a hinged rod on the ground?

Friction between the rod and the ground affects the force profile by providing resistance to sliding. This frictional force must be accounted for in the equilibrium equations and can alter the distribution of forces along the rod, particularly at points of contact with the ground.

What are the common methods used to analyze the force profile of a hinged rod on the ground?

Common methods used to analyze the force profile include static equilibrium analysis, free-body diagrams, and computational methods such as finite element analysis. These methods help in determining the reaction forces, moments, and stress distribution along the rod.

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