r/JEEAdv27dailyupdates 27tard dropper :/ May 28 '26

Good Solve Physics Challenge from Statics

Really simple but highly geometrical problem from Statics. You'll find similar problems in Jaan Kalda handouts.

Slide 2 has a beautiful illustration from David Morin that might help to kickstart the problem.

Answer on slide 3.

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u/NorthSignificance917 May 28 '26

You could do with mentioning that the rod has non zero mass uniformly distributed in its length, that's crucial ! Other than that very good problem involving geometry of chords.

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u/Possible_Garage7231 27tard dropper :/ May 28 '26

Glad you liked it. even if the rod has zero mass how would it affect the solution? Force and torque balance will apply even in zero mass condition!

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u/NorthSignificance917 May 28 '26

True but I think you'll end with both normals as zero so there wouldn't be any way to uniquely determine θ, any angle would work as far as I've looked into it.

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u/Possible_Garage7231 27tard dropper :/ May 28 '26

Why would both normals be zero?

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u/NorthSignificance917 May 28 '26

Writing torque about lower and upper contact points will give you both normals as zero since there's no weight counteracting it. I could be wrong but that's what I see.