High School Force Profile of a Hinged Rod on the Ground

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A hinged rod of length 'L' experiences a torque 'T' at the hinge, causing it to push into the ground. The force profile on the ground varies along the length of the rod, with the force being greatest near the pivot and decreasing towards the free end. The calculation for force at a specific point can be expressed as F = T/L. Since the entire rod is in contact with the ground, the distribution of force must account for this variation. The discussion emphasizes the importance of understanding torque and distributed loads in analyzing the force profile.
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TL;DR
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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Please, show your best attempt to answer the question, based on what you have learned about torque and distributed loads.
Thank you.
 
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.
 
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.
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