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QJEEM20Phb3d8: JEE Main 2020 Physics - Class 11 JEEM20Phb3d8 Solution: A small block starts slipping down from a point B on an…

JEE Main 2020 (Online) 2nd September Morning Slot Physics - Work Power & Energy Question 92 English
A small block starts slipping down from a point B on an inclined plane AB, which is making an angle θ\theta with the horizontal section BC is smooth and the remaining section CA is rough with a coefficient of friction μ\mu . It is found that the block comes to rest as it reaches the bottom (point A) of the inclined plane. If BC = 2AC, the coefficient of friction is given by μ\mu = ktan θ\theta . The value of k is _________.

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JEE Main 2020 (Online) 2nd September Morning Slot Physics - Work Power & Energy Question 92 English Explanation

Apply work energy theorem

Wg + Wf = Δ\Delta kE

mgsin θ\theta (AC + 2AC) – μ\mu mg cos θ\theta ×\times AC = 0 - 0

⇒\Rightarrow μ\mu = 3tan θ\theta

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