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In a room that is 2.41 m high, a spring (unstrained length = 0.30 m) hangs from the ceiling. A...

Question:

In a room that is 2.41 m high, a spring (unstrained length = 0.30 m) hangs from the ceiling. A board whose length is 1.94 m is attached to the free end of the spring. The board hangs straight down, so that its 1.94 m length is perpendicular to the floor. The weight of the board (104 N) stretches the spring so that the lower end of the board just extends to, but does not touch the floor. What is the spring constant of the spring?

Spring:

Spring is a fundamental part used in a number of machines. It is having a property of storing energy. It is available in various kinds depends upon their utility. During loading and unloading, its fundamental dimension will change.

Answer and Explanation:

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Given data:

  • The total height of room is {eq}h = 2.41\;{\rm{m}}.{/eq}
  • The unstrained length of the spring is {eq}{l_s} = 0.30\;{\rm{m}}.{/eq}
  • The...

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Hooke's Law & the Spring Constant: Definition & Equation

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Chapter 4 / Lesson 19
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After watching this video, you will be able to explain what Hooke's Law is and use the equation for Hooke's Law to solve problems. A short quiz will follow.


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