OCR M1 2009 January — Question 4

Exam BoardOCR
ModuleM1 (Mechanics 1)
Year2009
SessionJanuary
TopicMotion on a slope

4
\includegraphics[max width=\textwidth, alt={}, center]{470e70de-66ba-4dcc-a205-0c92f29471b1-3_200_897_269_625} A block of mass 3 kg is placed on a horizontal surface. A force of magnitude 20 N acts downwards on the block at an angle of \(30 ^ { \circ }\) to the horizontal (see diagram).
  1. Given that the surface is smooth, calculate the acceleration of the block.
  2. Given instead that the block is in limiting equilibrium, calculate the coefficient of friction between the block and the surface.