5. A particle moves round the polar curve a(2 + cos @), a > 0, with constant angular velocity w. (i) Find, in terms of r, a and w, the radial component of the acceleration of the particle. (ii) Show that the maximum magnitude of the acceleration of the particle is 4au, stating the angle at which this occurs.
5. A particle moves round the polar curve a(2 + cos @), a > 0, with constant angular velocity w. (i) Find, in terms of r, a and w, the radial component of the acceleration of the particle. (ii) Show that the maximum magnitude of the acceleration of the particle is 4au, stating the angle at which this occurs.
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Transcribed Image Text:5. A particle moves round the polar curve
a(2 + cos 0), a > 0,
with constant angular velocity w.
(i) Find, in terms of r, a and w, the radial component of the acceleration of the particle.
(ii) Show that the maximum magnitude of the acceleration of the particle is 4au,
stating the angle at which this occurs.
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