The coefficient of friction is represented as μ. The frictional force is divided into horizontal and vertical components. Those are λsinθ and λcosθ.
⇒ λsinθ = Fr
⇒ λsinθ = μ ( 2mg + mgcos2θ)
⇒ mgsinθcosθ = μ (2mg+mgcos2θ)
⇒ 12 = μ(2 + 1/2)
⇒ 12 = μ(5/2)
⇒ μ = 1/5
∴ μ = 0.5
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Physics