2
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A particle rests on a smooth horizontal surface. Three horizontal forces of magnitudes \(2.5 \mathrm {~N} , F \mathrm {~N}\) and 2.4 N act on the particle on bearings \(\theta ^ { \circ } , 180 ^ { \circ }\) and \(270 ^ { \circ }\) respectively (see diagram). The particle is in equilibrium.
- Find \(\theta\) and \(F\).
The 2.4 N force suddenly ceases to act on the particle, which has mass 0.2 kg .
- Find the magnitude and direction of the acceleration of the particle.