An object with a mass of #8 kg# is on a plane with an incline of # - pi/12 #. If it takes #12 N# to start pushing the object down the plane and #5 N# to keep pushing it, what are the coefficients of static and kinetic friction?
the static coefficient of friction is
the kinetic coefficient of friction is
For our diagram, If we apply Newton's Second Law up perpendicular to the plane we get: Initially it takes And the friction is related to the Reaction (Normal) Force by Once the object is moving the driving force is reduced from And the friction is related to the Reaction (Normal) Force by So the static coefficient of friction is
the kinetic coefficient of friction is
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The coefficient of static friction is ( \mu_s = 0.5 ) and the coefficient of kinetic friction is ( \mu_k = 0.2 ).
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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.
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.
- Your body applies force to the ground as weight. If you weigh 450 newtons and carry a backpack that weighs 45 newtons, what is the net force applied downward to the ground?
- Two masses are in contact on a horizontal frictionless surface. A horizontal force is applied to #M_1# and a second horizontal force is applied to #M_2# in the opposite direction. What is the magnitude of the contact force between the masses?
- A truck pulls boxes up an incline plane. The truck can exert a maximum force of #5,700 N#. If the plane's incline is #(2 pi )/3 # and the coefficient of friction is #8/5 #, what is the maximum mass that can be pulled up at one time?
- An object with a mass of #1 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= e^x-x+3 #. How much work would it take to move the object over #x in [1, 4], where x is in meters?
- What is the coefficient of friction?

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