A crate is sliding down a ramp that is inclined at an angle 37.9 ° above the horizontal. The coefficient of kinetic friction between the crate and the ramp is 0.330. Find the acceleration of the moving crate.

Answer 1

parallel plane: mgsin(39.5) - .330N = ma

perpendicular plane: N - mgcos(39.5) = 0 <== because it is not accelerating perpendicular the plane

so N = mgcos(39.5)

therefore, parallel plane: mgsin(39.5) - .330(mgcos(39.5)) = ma
m's cancel: gsin(39.5) - .33gcos(39.5) = a
a = 3.74 m/s^2