What is the minimum radius of a 18-m length steel wire that will stretch no more

Question

What is the minimum radius of a 18-m length steel wire that will stretch no more than 9.00 x 10-3 m when a load of 380 kg is hung on its lower end? {Note: you will have to get the value for the elastic modulus from the textbook}. ________________________________ A student slides across the hall of the science building in a pair of rubber-soled shoes. The friction force acting on each foot is 25.0 N. The footprint area of each sole is 2.00 x 10-3 m2 and the thickness of each sole (assume it is uniform throughout) is 8.00 x 10-3 m. Given that the shear modulus of rubber is 3.00 x 106 N/m2, what is the horizontal distance by which the upper and lower surfaces of each sole are offset? ________________________________

Explanation / Answer

a)

Y = (F/A)/(L/L)

A = (F/Y)/(L/L)

A = (380*9.8/200e9)/(9e-3/18)

A = 0.00003724 m2

A = R^2

R = (0.00003724/3.1416)

R = 0.00344 m

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