a wire of natural length 50cm, diameter 1.5mm and young modulus 3.2 GPa is stretched to a new length of 54.2 cm, which is below the limit of proportionality. how much work was done in order for this to happen?
a wire of natural length 50cm, diameter 1.5mm and young modulus 3.2 GPa is stretched to a new length of 54.2 cm, which is below the limit of proportionality. how much work was done in order for this to happen?
a wire of natural length 50cm, diameter 1.5mm and young modulus 3.2 GPa is stretched to a new length of 54.2 cm, which is below the limit of proportionality. how much work was done in order for this to happen?
We can assume wholly Elastic Response. Given: Work done is defined as: W=Fd (after integrating) (1)
d is defined in the Question. F can be obtained given the definition of Young's Modulus: E=σ/ε=Fdu/AU (2)
Here I define du as the Change in Length and U as the original Length.
Solving for F by rearranging (2) and substituting it into (1) provides the solution.
Can you explain why you have to integrate my head is stuck
This was a while ago: I think I was being overly specific about the definition of work i.e. that it is W=Fd is the simplest case where F is constant and the displacement d is in a straight line.
Although I did go on to clarify that d had been defined already in your question.