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A steel wire has the following properties: Length = 5.50m Cross-sectional area = 5.00×10?2cm^2 Young's modulus = 2.00\times 10^11 Pa Shear modulus = 0.84\times 10^11 Pa Proportional limit = 3.60\times 10^8 Pa Breaking stress = 11.0\times 10^8 Pa The wire is fastened at its upper end and hangs vertically. How great a weight can be hung from the wire without exceeding the proportional limit? How much does the wire stretch under this load? What is the maximum weight that can be supported?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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