DOM JSON App TeX Focus Test M2c elasticity pro 3 Part A Submit Hints My Answers

Question

DOMJSONAppTeXFocusTest M2c elasticity pro 3 Part A SubmitHintsMy AnswersGive UpReview Part Correct Correct Correct Part B If the same experiment were performed on a lead cube of the same size as the copper one, by what distance would it deform for the same force as in part B? Part B If the same experiment were performed on a lead cube of the same size as the copper one, by what distance would it deform for the same force as in part B? 8.10 M2c elasticity pro 3 A copper cube measures 6.24cm   on each side. The bottom face is held in place by very strong glue to a flat horizontal surface, while a horizontal force F is applied to the upper face parallel to one of the edges. Part A How large must F be to cause the cube to deform by 0.295mm ? SubmitHintsMy AnswersGive UpReview Part Correct Part B If the same experiment were performed on a lead cube of the same size as the copper one, by what distance would it deform for the same force as in part B? F = 8.10 cm F F mm F N d mm

Explanation / Answer

Deformation dl = Fl/AG

for copper G= 4.2x10^10 N/m2

A = 0.0624^2 = 0.00389376 m2

l=0.0624 m

dl = F(0.0624/(0.00389376*4.2x10^10))

= 3.816 F x10^-10 m

F = 0.295x10^-3/3.186x10^-10

= 9.259x10^5 N

For lead

G = 0.56x10^10 N/m2

dl = F(0.0624/(0.00389376*0.56x10^10))

= 28.62 F x10^-10 m

If F = 8.10x10^5 N

dl = 231.822x10^-5 m

dl = 2.31 mm

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