# An object with a mass of # 3 # #kg# is lying on a surface and is compressing a horizontal spring by #10 # #cm#. If the spring's constant is # 9# #kgs^-2#, what is the minimum value of the surface's coefficient of static friction?

The frictional coefficient

The force exerted by the spring is given by:

Since the object is stationary, this force applied by the spring must be being balanced by the frictional force.

The frictional force is given by:

And the normal force is the gravitational force:

Rearranging:

(frictional coefficients do not have units)

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The minimum value of the surface's coefficient of static friction is 0.3.

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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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