Solving Hooke's Law Problem: Find Delta l

In summary, the problem involves a pole with dimensions and a force acting vertically downward. The solution involves calculating the elongation using the formula delta l = lo/EY * F/S, with a resulting value of 0.25 mm. However, the value for Young's modulus is not given.
  • #1
lorik
39
0

Homework Statement



In a pole with dimension lo=5m and section S=20 cm square acts the force of F=20Kn vertically
downwards . How long will it go downwards, ---- thus delta l is needed

Homework Equations



I have delta l /lo =1/ EY *F/S


The Attempt at a Solution



I know the solution is giving me only delta l = 0.25 mm

how do i get delta l from above formula and what about EY which isn't needed ?

Could this be correct delta l = lo/ey * F/s ?
 
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  • #2
Does the force act along the "direction of the pole"? And aren't you given any value for E?
 
  • #3
radou said:
Does the force act along the "direction of the pole"? And aren't you given any value for E?

Yes it does . Like its written in the book I see E is not given any number ! that's yungs module btw.
 
  • #4
If this is the correct statement of the problem, then I don't see how to calculate the elongation without Young's modulus.
 
  • #5
Your correct thanks for help
 

FAQ: Solving Hooke's Law Problem: Find Delta l

What is Hooke's Law?

Hooke's Law is a fundamental principle in physics that describes the relationship between the force applied to an elastic object and the resulting extension or compression of the object. It states that the force applied is directly proportional to the change in length of an elastic material.

How do you solve Hooke's Law problems?

To solve Hooke's Law problems, you need to know the force applied to the object and the spring constant, which is a measure of the stiffness of the material. You can then use the formula F = kΔl, where F is the force, k is the spring constant, and Δl is the change in length of the object. Simply plug in the known values and solve for Δl.

What is the unit of measurement for the change in length in Hooke's Law?

The unit of measurement for the change in length in Hooke's Law is meters (m). This is because the change in length is a measure of the displacement of the object, which is typically measured in meters.

Can Hooke's Law be applied to all elastic materials?

Yes, Hooke's Law can be applied to all elastic materials as long as the force applied is within the elastic limit of the material. This means that the material will return to its original shape and size once the force is removed.

What is the significance of solving Hooke's Law problems?

Solving Hooke's Law problems is important because it allows us to understand and predict the behavior of elastic materials under different forces. This principle is essential in many fields such as engineering, materials science, and biomechanics.

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