A particle of mass m is subject to the potential 2x³ x² V(x) 21+2² + 2x 4 3 2 shown here: 1- V(x) M (a) Determine the st
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A particle of mass m is subject to the potential 2x³ x² V(x) 21+2² + 2x 4 3 2 shown here: 1- V(x) M (a) Determine the st
A particle of mass m is subject to the potential 2x³ x² V(x) 21+2² + 2x 4 3 2 shown here: 1- V(x) M (a) Determine the stability of the equilibrium points at x = ±1 and x = 2. [2 marks] (b) Sketch a phase portrait for −2.5 < x < 3.5. Clearly mark the equilibrium points and add arrows to show increasing time. Include sufficient trajectories to cover all the qualitatively-different possible behaviours of the particle. [8 marks] T
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