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CAPE Physics Unit 1 · 2015 · Paper 2 · Question 6(d)(ii)

Figure 6 shows a crane used for lifting heavy objects. The motor lifts a total mass of 1800 kg from rest on the ground. The cable supporting the mass is made from steel with a Young's modulus of 2.4 × 10^11 Pa. The cross-sectional area of the cable is 1.3 × 10^-4 m^2. As the mass leaves the ground, the strain in the cable is 0.0010. Assume the weight of the cable is negligible.

Assuming it is an 8-tonne crane and that the length of the cable is 8 m, determine the extension in the cable when it is operating at maximum load.

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Other parts of this question

  1. 6(a)Define the term 'Young's modulus'. Include a suitable formula in your definition.[3 marks]
  2. 6(b)Explain the differences between 'elastic deformation' and 'inelastic deformation' by making reference to Hooke's law and energy changes in materials.[4 marks]
  3. 6(c)Calculate the amount of compression that this bone can withstand before breaking. (State your answer in mm.)[3 marks]
  4. 6(d)(i)Use the Young's modulus of the steel to determine the tension in the cable.[2 marks]

More practice: the rest of this paper · more Mechanical Properties of Materials questions · all CAPE Physics Unit 1 past papers