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rashboosh
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Hi all,
This is my first post on this forum. Please state out anything that I have done that does not coincide with the forums rules.
I have to derive the force acting upon a uncooked spaghetti piece which is being pulled upon by a mass attached to its center for an experiment. The purpose of the experiment is to find the young's modulus of the Spaghetti by investigating the deflection of a spaghetti piece held at fixed points at each end. I do not need assistance in deriving the young's modulus of the spaghetti piece however for further clarification, I intend to derive the young's modulus of the spaghetti by plotting a graph of the force acting on a spaghetti vs the deflection of a spaghetti. I will then use the value for the gradient of the graph to find the young's modulus by combining the three formulas of a free-end beam under strain from the centre, the formula for the moment of inertia of a circular cross-sectional beam, and also the formula for the force.
The mass acting upon the spaghetti will remain as a constant value of 0.075 kg whilst the lengths of the spaghetti piece used will be of 0.06, 0.08, 0.10, 0.12, 0.14, 0.16, 0.18 meters.
Newton's Second Law F=mg
Calculating the force acting upon the spaghetti pieces with Newton's second law F=mg will result in a constant value for the Force which is 0.736N. When plotting this constant value in a graph against the deflection of spaghetti, the line of the graph is vertical and henceforth not linear. I am unable to derive a suitable gradient to be used to calculate the young's modulus for the spaghetti. Is it possible to incorporate the length of spaghetti used into Newton's second law to derive an increasing value for F? So as to create a linear graph?
If it has any relevance in solving this matter, the equation I derived to calculate the young's modulus using the gradient is E=(2L^3)/(48m r^4 ∏.
I appreciate your time and effort in assisting me.
Regards,
This is my first post on this forum. Please state out anything that I have done that does not coincide with the forums rules.
Homework Statement
I have to derive the force acting upon a uncooked spaghetti piece which is being pulled upon by a mass attached to its center for an experiment. The purpose of the experiment is to find the young's modulus of the Spaghetti by investigating the deflection of a spaghetti piece held at fixed points at each end. I do not need assistance in deriving the young's modulus of the spaghetti piece however for further clarification, I intend to derive the young's modulus of the spaghetti by plotting a graph of the force acting on a spaghetti vs the deflection of a spaghetti. I will then use the value for the gradient of the graph to find the young's modulus by combining the three formulas of a free-end beam under strain from the centre, the formula for the moment of inertia of a circular cross-sectional beam, and also the formula for the force.
The mass acting upon the spaghetti will remain as a constant value of 0.075 kg whilst the lengths of the spaghetti piece used will be of 0.06, 0.08, 0.10, 0.12, 0.14, 0.16, 0.18 meters.
Homework Equations
Newton's Second Law F=mg
The Attempt at a Solution
Calculating the force acting upon the spaghetti pieces with Newton's second law F=mg will result in a constant value for the Force which is 0.736N. When plotting this constant value in a graph against the deflection of spaghetti, the line of the graph is vertical and henceforth not linear. I am unable to derive a suitable gradient to be used to calculate the young's modulus for the spaghetti. Is it possible to incorporate the length of spaghetti used into Newton's second law to derive an increasing value for F? So as to create a linear graph?
If it has any relevance in solving this matter, the equation I derived to calculate the young's modulus using the gradient is E=(2L^3)/(48m r^4 ∏.
I appreciate your time and effort in assisting me.
Regards,