If the length of a #23 cm# spring increases to #82 cm# when a #5 kg# weight is hanging from it, what is the spring's constant?
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In this type of problems you need to use Hooke's !aw and Newton's second law:
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The spring constant (k) is approximately 126.52 N/m.
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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.
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- Two cylinders of mass m and radius R are rolling without slipping on an inclined plane. On them, there is a plank of mass M moving without slipping. How do you find the acc. of the plank depending on the acc. of one cylinder with Newton's laws ?
- An object with a mass of #4 kg# is hanging from a spring with a constant of #2 (kg)/s^2#. If the spring is stretched by #2 m#, what is the net force on the object?
- A truck pulls boxes up an incline plane. The truck can exert a maximum force of #2,700 N#. If the plane's incline is #(2 pi )/3 # and the coefficient of friction is #7/3 #, what is the maximum mass that can be pulled up at one time?
- An object with a mass of # 14 kg# is lying still on a surface and is compressing a horizontal spring by #70 c m#. If the spring's constant is # 2 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?

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