what is the maximum possible value of static friction?
one
Actually it can be greater than one. Velcro for example has a mu greater than one.
The maximum possible value of static friction depends on the type of surfaces in contact. The magnitude of static friction is determined by the equation:
f_s ≤ μ_sN
where f_s is the static frictional force, μ_s is the coefficient of static friction between the surfaces in contact, and N is the normal force between the surfaces.
To find the maximum value of static friction, you need to consider the maximum possible coefficient of static friction between the surfaces. The coefficient of static friction varies depending on the materials involved. For instance, a typical coefficient of static friction between rubber and dry concrete is around 0.8, while the coefficient of static friction between most solids on a flat surface is generally less than 1. However, there are certain materials, such as sticky or adhesive substances, that can have a coefficient of static friction greater than 1.
Therefore, the maximum possible value of static friction is dependent on the specific materials in contact and their coefficients of static friction. You can find the coefficient of static friction by referring to tables or conducting experiments on the specific materials. Once you have the coefficient of static friction, you can determine the maximum possible value of static friction using the equation mentioned earlier.