Forest UCM NLM BlockOnIncline

Consider a block of mass m sliding down the inclined plane shown below with a frictional force that is given by

[math]\displaystyle{ F_f = kmv^2 }[/math]

File:TF UCM InclinedPlaneWfriction.png

Find the blocks speed as a function of time.

Step 1: Identify the system

Step 2: Choose a suitable coordinate system

Step 3: Draw the Free Body Diagram

Step 4: Define the Force vectors using the above coordinate system

Step 5: Used Newton's second law

Forest_UCM_NLM#Block_on_incline_with_friction