A box, resting on a ramp is starting to be lifted up a ramp by a hoist. The box has lengthL=1.75 m, and heighth=1.9 m, and a mass ofm=12 kg. A force,Fis applied to the box through a rope and pulley system. The rope is connected to the box at a locationh/2and they system is adjustable such that the rope tension is parallel to the ramp. The ramp has rise over run ofY=8andX=15. Assume the contact point with the ground has a coefficient of static friction ofμ s=0.44and kinetic frictionμ k=0.22. What force,F 0is needed to initiate a slipping motion of the box? Once moving, what forceF 1keeps the box moving at constant speed? What instantaneous force,F tip , could cause the box to tip? \begin{tabular}{|l|l|l|l|}∣F 0∣=& number(rtol=0.01, atol=1e-05) &N& ? \\ \hline∣F 1∣=& number(rtol=0.01, atol=1e-05) &N&?\\ \hline∣F tip ∣&=number (rtol=0.01, atol=1e-05) &N&?
