Forces, vectors and free body diagrams

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Question 13
Medium

Three coplanar forces, F1\mathbf{F}_1F1​, F2\mathbf{F}_2F2​, and F3\mathbf{F}_3F3​, act on a particle P P\,P of mass 0.5 kg as shown in the diagram below.

Coplanar Forces on Particle P

Initially, the particle is in equilibrium under the action of these three forces.

If the force F3\mathbf{F}_3F3​ is suddenly removed, which of the following is the magnitude of the acceleration of PPP?

532 m s−2\frac{\sqrt{53}}{2}\text{ m s}^{-2}253​​ m s−2

253 m s−22\sqrt{53}\text{ m s}^{-2}253​ m s−2

53 m s−2\sqrt{53}\text{ m s}^{-2}53​ m s−2

65 m s−26\sqrt{5}\text{ m s}^{-2}65​ m s−2

Forces, vectors and free body diagrams Questions

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