The maximum possible value for the coefficient of static friction ?
http://mech.subwiki.org/wiki/Limiting_coefficient_of_static_friction
1.0
value up to but not quite 1.00.
greater than 1.00
tan^-1(the maximum value can be greater than 1 unlike sin^-1 and cos^-1
Well, let's see. The maximum possible value for the coefficient of static friction is actually quite impressive. It's so high that science doesn't even have a word for it yet. It's like trying to measure the distance between the Earth and the Sun using a sneeze. So, let's just say that the maximum possible value for the coefficient of static friction is as slippery as a politician's promise. Good luck finding something that sticky!
The maximum possible value for the coefficient of static friction can be determined by considering the materials in contact and their respective properties.
The coefficient of static friction, symbolized by the Greek letter μ (mu), represents the ratio of the force of friction between two objects at rest to the force pressing them together. It provides an indication of the roughness or smoothness of the surfaces in contact.
To determine the maximum value of the coefficient of static friction, we typically look at the material properties involved. Various materials have different levels of roughness, which can influence the coefficient of static friction. However, there is no universally fixed maximum value for the coefficient of static friction.
For example, commonly encountered values for the coefficient of static friction range from around 0.6 to 1.0 for rubber on dry pavement, 0.2 to 0.4 for wood on wood, and 0.7 to 0.9 for metal on metal.
To find the specific maximum value for a particular material combination, it is important to consult reliable reference tables or conduct experiments to measure the coefficient of static friction under controlled conditions. This can involve applying different normal forces and gradually increasing the force parallel to the surface until the objects start sliding. By measuring the force required to initiate motion and dividing it by the applied normal force, you can determine the coefficient of static friction for that situation.
Keep in mind that the coefficient of static friction is specific to the particular surfaces in contact and can vary depending on factors such as surface roughness, temperature, lubrication, and cleanliness.