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Ten questions, one verdict per topic

Answer all ten without looking anything up. The result tells you, topic by topic, which lessons you may skip and which you should read.

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Ten questions. The result tells you which lessons you may skip.

1

In Searle's experiment, why is a second wire hung beside the test wire from the same support?

2

A test wire \(2\,\text{m}\) long and \(0.2\,\text{mm}^2\) in section stretches \(1\,\text{mm}\) under a \(2\,\text{kg}\) load. Take \(g = 10\,\text{m/s}^2\). Young's modulus is

3

In Searle's experiment, which measurement usually contributes the largest error to Young's modulus?

4

A uniform rod of weight \(W\), length \(L\) and area \(A\) hangs from a ceiling. Its elongation under its own weight is

5

A rod on a smooth table is pulled by a force \(F\) at one end only. The tension at its middle is

6

A wire of stiffness \(k\) is cut into two equal halves, and the halves are hung side by side to carry one load. The stiffness of the pair is

7

A wire stretched by \(1\,\text{mm}\) stores \(0.1\,\text{J}\). Stretched by \(3\,\text{mm}\), within its elastic limit, it stores

8

A load is let go on a wire held just taut. At rest it would stretch the wire by \(x_0\). The greatest stretch is

9

A steel rod clamped between rigid walls is heated by \(50\,\text{K}\). Take \(Y = 2 \times 10^{11}\,\text{Pa}\) and \(\alpha = 1.2 \times 10^{-5}\,\text{K}^{-1}\). The thermal stress is

10

Which material breaks near its elastic limit with almost no plastic region?