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

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To solve for weight in an impact loading problem, start by calculating spring deformation using Hooke's law under the maximum force. Use the equations Fe = W(1 + √(1 + 2h/δ*)), and δ* = W/k, ensuring all measurements are coherent. Substitute the known values, including h = 0.1016 m and Fe = 1779.2886 N, to solve for weight W. It's important to disregard incorrect force summation attempts and focus on the relevant equations provided. Following these steps will lead to the correct solution for the weight in the problem.
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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+\sqrt{1+2h/\delta<sub>st</sub>}

and \deltast = W/k

The Attempt at a Solution



This is my attempt at summing the forces:

\SigmaF = 100 lbf/in * \delta + 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+\sqrt{1+2h/\delta<sub>st</sub>}

and \deltast = W/k

The Attempt at a Solution



This is my attempt at summing the forces:

\SigmaF = 100 lbf/in * \delta + 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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