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4 marksCoplanar Forces and Equilibrium

CAPE Applied Mathematics Unit 2 · 2010 · Paper 2 · Question 6(c)(ii)

A particle is in equilibrium under the action of three forces: 5i, (3i + 6j), and (ai + bj).

Find the angle of inclination of ai + bj to Ox.

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Other parts of this question

  1. 6(a)(i)If in the position of equilibrium P = 6 N, find the magnitude of the tension in OB.[9 marks]
  2. 6(a)(ii)If in the position of equilibrium P = 6 N, find the magnitude of the (acute) angle of inclination OB makes with the vertical.[3 marks]
  3. 6(b)(i)Find the magnitude of the (acute) angle of inclination OB makes with the vertical.[3 marks]
  4. 6(b)(ii)Find the magnitude of the pull, P.[2 marks]
  5. 6(c)(i)Find the magnitude of ai + bj.[4 marks]

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