OCR M1 2009 January — Question 3

Exam BoardOCR
ModuleM1 (Mechanics 1)
Year2009
SessionJanuary
TopicNewton's laws and connected particles

3
\includegraphics[max width=\textwidth, alt={}, center]{470e70de-66ba-4dcc-a205-0c92f29471b1-2_570_679_1512_731} Three horizontal forces act at the point \(O\). One force has magnitude 7 N and acts along the positive \(x\)-axis. The second force has magnitude 9 N and acts along the positive \(y\)-axis. The third force has magnitude 5 N and acts at an angle of \(30 ^ { \circ }\) below the negative \(x\)-axis (see diagram).
  1. Find the magnitudes of the components of the 5 N force along the two axes.
  2. Calculate the magnitude of the resultant of the three forces. Calculate also the angle the resultant makes with the positive \(x\)-axis.