Which of the following is the correct relationship between the shear angle ϕ, friction angle β and cutting rake angle α given by Merchant analysis

1
\(2\phi + 2\beta - \alpha = \frac{\pi }{4}\)
2
\(2\phi + \beta - \alpha = \frac{\pi }{2}\)
3
\(2\phi + \beta - 2\alpha = \frac{\pi }{4}\)
4
\(2\phi + \beta - \alpha = \frac{\pi }{4}\)

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