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

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.

Use the Young's modulus of the steel to determine the tension in the cable.

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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)(ii)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.[3 marks]

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