Problem 6-11 Dynamics with friction - Part 3 - C

A child is sliding down a water slide inclined at \(25^\circ\) to the horizontal. The coefficient of kinetic friction between the child and the slide is \(0.10\). What is the magnitude of the acceleration of the child? (Hint: \(F_N\) is not equal to \(mg\).)


Accumulated Solution

FBD with all forces, directions and angles indicated.


Correct!

Therefore

\(\sum F_y = 0\)

The correct condition is:

(A)   \(F_N - mg = 0\)

(B)   \(F_N -mg\; \sin 25 = 0\)

(C)   \(F_N - mg\; \cos 25 = 0\)