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Consider an object held stationary by static friction on a rough surface. You push with a force angled downward at an angle as shown

 

Consider an object held stationary by static friction on a rough surface. You push with a force angled downward at an angle as shown to try to start the mass moving. The mass of the object is M and the coefficient of static friction is s. What is the largest value for the coefficient of friction, max, where it will be possible to move the object by pushing at the angle 0? In other words, if you push at the given angle, it will be impossible to move the object with any force if the static friction is ls > max. Let M = 21.9 kg and 0 = 53.7 degrees. Give your answer for max to at least three significant digits to avoid being counted off due to rounding. Of course, your answer is unitless. F

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