# An object with a mass of #10 kg# is lying still on a surface and is compressing a horizontal spring by #5/6 m#. If the spring's constant is #24 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?

##### 1 Answer

#mu_(s*"min")=0.2041

#### Explanation:

If an object is lying still then that means the acceleration in any direction is

The force exerted by a spring is given by *from equilibrium*. Plugging in the values from the problem,

The magnitude of the force of static friction is defined as

Since the acceleration in the vertical direction is