Work, Energy and Power & Circular Motion

A small block starts slipping down from a point B on an inclined plane AB, which is making an angle $\theta with the horizontal section BC is smooth and the remaining section CA is rough with a coefficient of friction \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 \mu = ktan \theta $ . The value of k is _________.

Integer / Numeric Answer Type

Enter your answer as a number (integer or decimal).