Map Sapling Learning matemian learning Two steel wires are connected together, e
ID: 1561849 • Letter: M
Question
Map Sapling Learning matemian learning Two steel wires are connected together, end to end, and attached to a wall as shown below. The two wires have the same length and elastic modulus, but the ratio of the radius of the first to radius of the second wire is 9:3. As the wires are initially the same length, the midpoint of the combination coincides with the connection point. An applied force then stretches the combination by 4.100 mm while the two together. After the wires are stretched, what is o, the distance from the midpoint to the connection point? Number mma L+ AL. L+ AL Previous GveUp Vew solut on 2 Check Answer o Next I Exit HintExplanation / Answer
The thicker wire stretches less. Let's say it stretches "d" and the thinner wire stretches "D."
d + D = 4.100 mm
and D = d*(9/3)² =9*d corrected a math error here
so
d + 9d = 10d = 4.100 mm
d = .41 mm
D = 3.69 mm
Let's say each was originally length L. The total length is 2L + 4.100mm, and so the midpoint is now L + 2.050mm from each end.
But the connection point is only L + .41 mm from one of the ends, so
= (2.05 - .41)mm = 1.64 mm