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The breaking stress of a wire depends upon:

1. | material of the wire. |

2. | length of the wire. |

3. | radius of the wire. |

4. | shape of the cross-section. |

Subtopic: Â Stress - Strain |

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A steel cable with a radius of \(1.5~\text{cm}\) supports a chairlift at a ski area. If the maximum stress is not to exceed \(10^{8}~\text{N/m}^2\), what is the maximum load that the cable can support?

1. \(7.06\times 10^{4}~\text{N}\)

2. \(5.03\times 10^{4}~\text{N}\)

3. \(1.09\times 10^{4}~\text{N}\)

4. \(17\times 10^{4}~\text{N}\)

1. \(7.06\times 10^{4}~\text{N}\)

2. \(5.03\times 10^{4}~\text{N}\)

3. \(1.09\times 10^{4}~\text{N}\)

4. \(17\times 10^{4}~\text{N}\)

Subtopic: Â Stress - Strain |

Â 76%

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The breaking stress of a wire going over a smooth pulley in the following question is \(2\times 10^{9}~\text{N/m}^2\). What would be the minimum radius of the wire used if it is not to break?

1. | \(0.46\times10^{-6}~\text{m}\) | 2. | \(0.46\times10^{-4}~\text{m}\) |

3. | \(0.46\times10^{8}~\text{m}\) | 4. | \(0.46\times10^{-11}~\text{m}\) |

Subtopic: Â Stress - Strain |

Â 72%

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A light rod of length \(2~\text{m}\) is suspended from the ceiling horizontally by means of two vertical wires of equal length. A weight \(W\) is hung from the light rod as shown in the figure. The rod is hung by means of a steel wire of cross-sectional area \(A_1 = 0.1~\text{cm}^2\) and brass wire of cross-sectional area\(A_2 = 0.2~\text{cm}^2\). To have equal stress in both wires, \(\frac{T_1}{T_2}?\)${\mathrm{}}_{}$

1. | \(1/3\) | 2. | \(1/4\) |

3. | \(4/3\) | 4. | \(1/2\) |

Subtopic: Â Stress - Strain |

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To break a wire, a force of \(10^6~\text{N/m}^{2}\) is required. If the density of the material is \(3\times 10^{3}~\text{kg/m}^3,\) then the length of the wire which will break by its own weight will be:

1. \(34\) m

2. \(30\) m

3. \(300\) m

4. \(3\) m

Subtopic: Â Stress - Strain |

Â 62%

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A uniform wire of length \(3\) m and mass \(10\) kg is suspended vertically from one end and loaded at another end by a block of mass \(10\) kg. The radius of the cross-section of the wire is \(0.1\) m. The stress in the middle of the wire is: (Take \(g=10\) ms^{-2})

1. | \(1.4 \times10^4\) N/m^{2} |
2. | \(4.8 \times10^3\) N/m^{2} |

3. | \(96 \times10^4\) N/m^{2} |
4. | \(3.5\times10^3\) N/m^{2} |

Subtopic: Â Stress - Strain |

Â 66%

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lf \(\rho\) is the density of the material of a wire and \(\sigma\) is the breaking stress, the greatest length of the wire that can hang freely without breaking is:

1. \(\frac{2}{\rho g}\)

2. \(\frac{\rho}{\sigma g}\)

3. \(\frac{\rho g}{2 \sigma}\)

4. \(\frac{\sigma}{\rho g}\)

Subtopic: Â Stress - Strain |

Â 73%

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One end of a uniform wire of length \(L\) and of weight \(W\) is attached rigidly to a point in the roof and a weight \(W_1\) is suspended from its lower end. If \(A\) is the area of cross-section of the wire, the stress in the wire at a height \(\frac{3L}{4}\) from its lower end is:

1. \(\frac{W+W_1}{A}\)

2. \(\frac{4W+W_1}{3A}\)

3. \(\frac{3W+W_1}{4A}\)

4. \(\frac{\frac{3}{4}W+W_1}{A}\)

Subtopic: Â Stress - Strain |

Â 71%

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A wire can sustain a weight of 10 kg before breaking. If the wire is cut into two equal parts, then each part can sustain a weight of:

1. | 2.5 kg | 2. | 5 kg |

3. | 10 kg | 4. | 15 kg |

Subtopic: Â Stress - Strain |

Â 73%

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The length of an elastic string is \(a\) metre when the longitudinal tension is \(4\) N and \(b\) metre when the longitudinal tension is \(5\) N. The length of the string in metre when the longitudinal tension is \(9\) N will be:

1. | \(a-b\) | 2. | \(5b-4a\) |

3. | \(2b-\frac{1}{4}a\) | 4. | \(4a-3b\) |

Subtopic: Â Hooke's Law |

Â 76%

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