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CAPE Applied Mathematics Unit 2 · 2013 · Paper 2 · Question 5(a)(i)

A uniform rod PQ of weight 40 N is hinged at P and held horizontally by a string from Q to R vertically above P, inclined at 45^\circ to the rod. Take g = 10\text{ ms}^{-2}.

Draw a diagram to illustrate this information, and hence draw the coplanar force diagram.

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Other parts of this question

  1. 5(a)(ii)Calculate the tension in the string.[2 marks]
  2. 5(b)Calculate the frictional resistance of the railway.[8 marks]
  3. 5(c)(i)Show that t = \frac{1}{k}\ln\left(\frac{10}{10 - kx}\right).[7 marks]
  4. 5(c)(ii)On reaching the top of the 75 m long hill, his velocity has dropped to 4\text{ ms}^{-1}. Find the value of k.[3 marks]

More practice: the rest of this paper · more Coplanar Forces and Equilibrium questions · all CAPE Applied Mathematics Unit 2 past papers