How do I solve for weight in an impact loading problem using relevant equations?

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SUMMARY

The discussion focuses on solving for weight in an impact loading problem using the equations Fe = W(1 + √(1 + 2h/δₛₜ)) and δₛₜ = W/k. Participants emphasize the importance of calculating spring deformation using Hooke's Law under a maximum force of 400 pounds. The correct approach involves converting all measurements to a coherent system and applying the conservation of energy equation to derive the weight W from the given parameters, including h = 0.1016 m and Fe = 1779.2886 N.

PREREQUISITES
  • Understanding of Hooke's Law and spring constants
  • Familiarity with conservation of energy principles
  • Ability to convert measurements to a coherent system
  • Knowledge of basic mechanics and force summation
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  • Learn how to apply Hooke's Law in various mechanical contexts
  • Study conservation of energy in mechanical systems
  • Explore unit conversion techniques for engineering problems
  • Investigate advanced impact loading scenarios and their solutions
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Engineering students, mechanical engineers, and professionals dealing with impact loading and spring mechanics will benefit from this discussion.

danief
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Homework Statement



http://i.imgur.com/CnAcu.png

Homework Equations



So, I'm having trouble figuring out how to start this problem.

I'm trying to use this equation:

Fe = W(1+[itex]\sqrt{1+2h/\delta<sub>st</sub>}[/itex]

and [itex]\delta[/itex]st = W/k

The Attempt at a Solution



This is my attempt at summing the forces:

[itex]\Sigma[/itex]F = 100 lbf/in * [itex]\delta[/itex] + Weight of childThanks
 
Last edited by a moderator:
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danief said:

Homework Statement



http://i.imgur.com/CnAcu.png

Homework Equations



So, I'm having trouble figuring out how to start this problem.

I'm trying to use this equation:

Fe = W(1+[itex]\sqrt{1+2h/\delta<sub>st</sub>}[/itex]

and [itex]\delta[/itex]st = W/k

The Attempt at a Solution



This is my attempt at summing the forces:

[itex]\Sigma[/itex]F = 100 lbf/in * [itex]\delta[/itex] + Weight of childThanks
You should first calculate the spring deformation under 400 pounds of max force in the spring, using Hooke's law. Then use conservation of energy equation.
 
Last edited by a moderator:
danief said:

Homework Equations



So, I'm having trouble figuring out how to start this problem. I'm trying to use these equations:

Fe = W*{1 + sqrt[1 + (2*h/deltast)]}

deltast = W/k
danief: Your relevant equations are correct; and they are not a function of maximum deflection. You can change your approach as PhanthomJay suggests; or you can instead just use the approach you already started writing in your relevant equations, as follows.

First, convert everything to a coherent measurement system. Next, the problem statement gives you h = 0.1016 m, Fe = 1779.2886 N, and spring constant k. Now simply solve your relevant equation for weight W. You are done.

(By the way, ignore your attempt at summing forces in part 3 of post 1, which is incorrect.) Also, please do not post wide images directly to the forum page. Just post a text link to wide images.
 

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