The corkscrew is used to remove the 15-mm-diameter cork from the bottle. Determine the smallest vertical force P that must be applied to the handle if the gauge pressure in the bottle is p = 175 kPa and the cork pushes against the sides of the bottle’s neck with a uniform pressure of 90 kPa. The coefficient of static friction between the bottle and the cork is μ_s = 0.4. The force exerted on the bottom of the cork is F = pA, where A is the surface area of the cork’s bottom and p is the gauge pressure.

20 mm o A o B www 180 mm- 30 mm P