A friend is trying to push a filing cabinet into their office. The cabinet has a mass of 66.0 \;\mathrm{kg}66.0kg and they can't get it to budge on their own. You decide to help and begin pulling at an angle \theta = 19.0\degreeθ=19.0° from the horizontal. Your friend is pushing with a force of 190 \;\mathrm{N} 190Nhorizontally in the same direction. If you push the cabinet with a force of 220 \;\mathrm{N}220N and the cabinet begins to move, what is the maximum coefficient of static friction the cabinet can have with respect to the floor? Retain your answer to two decimal places.
