Three identical rigid circular cylinders A, B and C are placed on smooth inclined plane shown in the figure. The minimum value of tan θ that prevent the arrangement fromcollapse is 13n. The value of n is _________.

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answer is 3.

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Detailed Solution

From free body diagram of cylinder A,2Ncos⁡30∘=mg∴ N=mg3From free body diagram, of cylinder B,N0cos⁡θ=mg+Ncos⁡30∘N0sin⁡θ=Nsin⁡30∘tan⁡θ=Nsin⁡30∘mg+Ncos⁡30∘ Putting the value of N,tan⁡θ=133∴ n=3

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