Two blocks having same mass are placed on rough incline plane and the coefficient of friction between A and incline is $μ_{1} = 1.0$ and between block B and incline is $μ_{2} = \frac{3}{4}$ . As the inclination of the plane ' $θ$ ' with respect to horizontal increases, choose the correct answer (s).

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There is no force between A and B. M B ​ g sin θ ≤ μ 2 ​ m B ​ g cos θ tan θ ≤ μ 2 ​ θ ≤ 3 7 ∘ Both blocks start moving when: ( m 1 ​ + m 2 ​ ) g sin θ = f k 1 ​ ​ + f k 2 ​ ​ ⇒ ( m 1 ​ + m 2 ​ ) g sin θ = μ 1 ​ m 1 ​ g cos θ + μ 2 ​ m 2 ​ g cos θ Since m 1 ​ = m 2 ​ , 2 sin θ = ( μ 1 ​ + μ 2 ​ ) cos θ 2 tan θ = 1 + 4 3 ​ ⇒ θ = tan − 1 8 7 ​

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Options:(select one or more)

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