A child slides across a floor in a pair of rubber-soled shoes. The friction force acting on each foot is 20.0 N. The footprint area of each shoe sole is 14.0 cm2, and the thickness of each sole is 5.00 mm. Find the horizontal distance by which the upper and lower surfaces of each sole are offset. The shear modulus of the rubber is 3.00 MN/m2.

A vertical solid steel post of diameter d = 26 cm and length L = 2.70 m is required to support a load of mass m = 8400 kg. You can ignore the weight of the post. What is the stress in the post? Express your answer in pascals. What is the strain in the post?

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.

One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of magnitude F = 50000 N is then applied perpendicularly to the end face (uniformly across the area) at the other end, pulling directly away from the vise. What will be the elongation of the rod (in the unit meters)? Young modulus is 200 × 109 N/m2)

A horizontal aluminum rod 4.7 cm in diameter projects 4.3 cm from a wall. A 1400 kg object is suspended from the end of the rod. The shear modulus of aluminum is 3.0.1010 N/m². Neglecting the rod's mass, find (a) the shear stress on the rod and (b) the vertical deflection of the end of the rod. (a) Number i (b) Number i Units Units

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A child slides across the floor in a pair of rubber-soled shoes. The frictional force acting on each foot is 20.0 N. The footprint area of each sole is 19.5 cm2 and the thickness of each sole is 7.9 mm. Find the horizontal distance that the upper and lower surfaces of each sole run. The shear modulus of rubber is 3.00 MN / m ^ 2.

A 5.73 kg pipe is hung from a steel wire that is 2.96 long and has a diameter of 0.839 mm. Young's Modulus for steel is 2.0x1011 N/m². By what distance does the wire stretch? Give your answer in millimeters.