Momo with mass m is sliding down an inclined plane that makes an angle Φ relative to the horizontal. The coefficient of kinetic friction between Momo and the inclined plane is μk. Obtain an expression for Momo's acceleration along the incline.

Momo with mass m is sliding down an inclined plane that makes an angle Φ relative to the horizontal. The coefficient of kinetic friction between Momo and the inclined plane is μ_k. Obtain an expression for Momo's acceleration along the incline.

Assign a rotated Cartesian plane so that the acceleration is along the positive x-axis and the normal force is along the positive y-axis.

The component of the weight parallel to Momo's acceleration is w_x = mg ______ _Φ

The magnitude of the frictional force is f = μ_{k ______}

_{The normal force on Momo is n = mg______Φ}

With these expressions and applying Newton's second law, we arrive at an expression for Momo's acceleration:

a = ____ ( ____  - μ_k _____)