OCR MEI M1 2011 June — Question 3

Exam BoardOCR MEI
ModuleM1 (Mechanics 1)
Year2011
SessionJune
TopicVectors 3D & Lines

3 Force \(\mathbf { F }\) is \(\left( \begin{array} { r } - 2
3
- 4 \end{array} \right) \mathrm { N }\), force \(\mathbf { G }\) is \(\left( \begin{array} { r } - 6
y
z \end{array} \right) \mathrm { N }\) and force \(\mathbf { H }\) is \(\left( \begin{array} { r } 3
- 5
- 1 \end{array} \right) \mathrm { N }\).
  1. Given that \(\mathbf { F }\) and \(\mathbf { G }\) act in parallel lines, find \(y\) and \(z\). Forces \(\mathbf { F }\) and \(\mathbf { H }\) are the only forces acting on an object of mass 5 kg .
  2. Calculate the acceleration of the object. Calculate also the magnitude of this acceleration.