Calculate Normal Force Exerted on Hands During Push-Ups

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Homework Help Overview

The problem involves calculating the normal force exerted on a person's hands during push-ups, given their weight and distances related to their center of gravity. The context is centered around concepts of torque and equilibrium in a static position.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to use the center of gravity equation and considers multiplying by gravity to find the normal force. Some participants suggest using torque to analyze the forces acting around the pivot point of the feet.

Discussion Status

Participants are exploring the application of torque to solve the problem, with some expressing uncertainty about how to set up the equations correctly. There is an ongoing discussion about the balance of torques and the need for additional equations to find the normal force.

Contextual Notes

There is a mention of needing distances and forces to set up the equations, indicating potential gaps in information or understanding of the problem setup.

SnowOwl18
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Not quite sure what to do about this one:

-----A person whose weight is W = 601N is doing push-ups. Assume L1 = 0.859m and L2 = 0.353m. Calculate the normal force exerted by the floor on each hand, assuming that the person holds this position. ------

I can't get the picture on here, but basically it shows a person in the postion of a push up. L1 is from his feet to the center of gravity (in his stomach in the picture). L2 is from the center of gravity to his hands. I know the equation for center of gravity is Xcg = W1X1 + W2X2 +... / W1 + W2 +...
I'm not really sure what to do with this. I thought maybe I would calculate for the center of gravity and just multiply by gravity to get the normal force...? Any guidance would be appreciated. Thanks :)
 
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Do you know about torques? Consider the torque done by gravity about the pivot point (your feet) and compare to how much torque at the hands you must do to counteract this.
 
hmmm...i do know about torque...that it equals the product of the force and the lever arm...but i didn't consider using it for this problem...hmmm
 
It's definitely the way to go. The sum of the two torques must be 0 if he's not moving around the pivot.
 
So the sum of the two torques is 0... so Fd + Fd = 0...(601)(0.859) + (601)(0.353) =0...i need another equation to put on the other side to solve for the force...so Fd=0...i'm looking for force...but i need a distance...i thought i could use 0.353...but i just tried this and i got the wrong answer. hmmm
 

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