An object with a mass of # 16 kg# is lying still on a surface and is compressing a horizontal spring by #2/3 m#. If the spring's constant is # 4 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?
The coefficient of static friction is
Thus,
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The minimum value of the surface's coefficient of static friction is approximately 0.15.
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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.
- An object with a mass of #4 kg# is acted on by two forces. The first is #F_1= < 3 N , 2 N># and the second is #F_2 = < 7 N, 6 N>#. What is the object's rate and direction of acceleration?
- A box with an initial speed of #8 m/s# is moving up a ramp. The ramp has a kinetic friction coefficient of #1/2 # and an incline of #(3 pi )/8 #. How far along the ramp will the box go?
- If the length of a #27 cm# spring increases to #65 cm# when a #4 kg# weight is hanging from it, what is the spring's constant?
- An object with a mass of # 8 kg# is on a ramp at an incline of #pi/8 #. If the object is being pushed up the ramp with a force of # 7 N#, what is the minimum coefficient of static friction needed for the object to remain put?
- A truck pulls boxes up an incline plane. The truck can exert a maximum force of #5,600 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?
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