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blueboy499
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Homework Statement
I am confused on how to begin finding the angles (theta) for answering part a?
blueboy499 said:Homework Statement
I am confused on how to begin finding the angles (theta) for answering part a?
blueboy499 said:In the book, it is given as 5x109 N/M2. But this problem is not out of the book, so it's a bit of a stretch.
jhae2.718 said:If you use Newton's second law, you'll get two scalar equations, and you'll have two unknowns*...
*Assuming the system is in static equilibrium.
blueboy499 said:So then what do you do with those 2 unknowns?
blueboy499 said:The change in the length of the material = ((tensile stress)/(young's modulus))(final length of the material).
But the stress = force/area and since I'm not given the force or the angles or enough other geometric values, how can I solve for this?
blueboy499 said:"w.r.t."?
blueboy499 said:The way I still see it, I still don't have: the force for the F/A = tensile stress, the final length of the rope, and the change in length of the rope. Am I missing something here, or is there some other method we should be going about this?
gneill said:Young's modulus should give you an effective "spring constant" for the rope. Take a look at the Wikipedia article on Young's Modulus, at the section "Force exerted by a stretched or compressed material".
blueboy499 said:Each of those stated equations require knowing the change in length to calculate the force.
blueboy499 said:Thank you for all of your help, but I only just now discovered that the professor changed the problem to include the vertical distance the rope sags after loading and reaching equilibrium. I should be able to figure it out from here. Thanks again! :)
Angle alpha is the angle formed between the elastic rope and the horizontal surface.
Angle alpha can be determined by measuring the length of the elastic rope and the distance between the mass and the pivot point, and then using trigonometric functions to calculate the angle.
The elastic rope allows for the mass to move freely and follow the laws of physics, making it easier to accurately measure and calculate the angle alpha.
The mass provides tension in the elastic rope and allows for the creation of an angle between the rope and the horizontal surface.
The accuracy of determining angle alpha may be affected by factors such as the precision of measurements, the elasticity of the rope, and external forces such as wind or vibrations.