Problem 6-47 Dynamics with friction - Part 9

A boy drags a huge garbage can of mass \(27\; kg\) along a horizontal driveway at a constant speed of \(1.8\; m/s\). He exerts a force of \(112\; N\) at an angle of \(27^\circ\) above the horizontal. Determine the coefficient of kinetic friction between the can and the driveway.

Accumulated Solution

FBD with all angles, directions and forces indicated.

\(\mu_K = F_K/F_N \\ a_y = 0 \\ F_N + F \sin \theta - mg = 0 \\ F_N = 214 \;N \\ F \cos \theta - F_K = 0 \\ F_K = 99.8 \;N\)

\(\mu_K = F_K/F_N = (99.8)/214 = 0.47\)

 

You have completed this problem.