Between AB there is a 20 cm aluminum wire that supports a mass of 490 g and between BC another bronze cable of length 10 cm that supports a mass of 245 g; where EAL = 0.2x10¹¹ Pa (Young's modulus) and EBr = 5x10¹¹ Pa; with equal cross sections S = 0.2 cm² determine what length reaches point C. A - B - C

A man with a mass of 72.1 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2 and an uncompressed length 49.6 cm. Young’s modulus for compression of the human femur is 9.40 × 109 N/m2.   A.) How much shorter is the femur when the man stands on one foot? B.)What is the fractional length change of the femur when the person moves from standing on two feet to standing on one foot?

Humans can bite with a force of approximately 796 N. If a human tooth has the Young's modulus of bone, a cross-sectional area of 1.1 cm2, and is 1.9 cm long, determine the change in the tooth's length during an 7.96 ✕ 102 N bite. m

Q1

Consider a square-faced beam supporting a section of a building. a)  Before installation, the length of the beam is found to be l0 = 15.02 m (figure a). After installation and construction, the length is remeasured and found to be l = 14.98 m (figure b). Determine Young's Modulus Y in N/m2 for the beam if it supports a mass m = 35000 kg and has a side length d = 1.9 m.  b) Suppose that after the beam is installed it needs to be repaired. The weight it supports is removed and replaced with a new mass m2 (figure c). After the new mass is supported, the side length is remeasured and found to be larger with a difference of Δd. Assuming that this side length deformation is uniform and small, write an expression for determining Poisson's ratio v for this beam if its Young's modulus Y is known.

7. A wire of length 6.5 m with a cross-sectional area of 0.14 cm2 stretches by 4.5 mm when a load of 0.800 kN is hung from it. What is the Young's modulus for this wire?