# An object with a mass of #1# #kg# is lying still on a surface and is compressing a horizontal spring by #1/4# #m#. If the spring's constant is #3# #kgs^-2#, what is the minimum value of the surface's coefficient of static friction?

The force exerted by the spring is

The frictional force is given by

The frictional force must be at least equal to the spring force, so:

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The minimum value of the surface's coefficient of static friction is 3.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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