A small block starts slipping down from a point B on an inclined plane AB

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A small block starts slipping down from a point B on an inclined plane AB, which makes an angle

\theta

with the horizontal. Section BC is smooth and the remaining section CA is rough with coefficient of friction

\mu

. The block comes to rest as it reaches the bottom (point A) of the inclined plane. If

BC = 2AC

, and

\mu = k \tan\theta

, find

k

. (1) 1 (2) 2 (3) 3 (4) 4