AQA M1 2010 January — Question 3

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2010
SessionJanuary
TopicMotion on a slope

3 A particle of mass 3 kg is on a smooth slope inclined at \(60 ^ { \circ }\) to the horizontal. The particle is held at rest by a force of \(T\) newtons parallel to the slope, as shown in the diagram.
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  1. Draw a diagram to show all the forces acting on the particle.
  2. Show that the magnitude of the normal reaction acting on the particle is 14.7 newtons.
  3. Find \(T\).