A particle moves round the polar curve r = a(2 + cos 0), a > 0, with constant angular velocity w. a.) Find, in terms of r, a, w, the radial component of the acceleration of the particle. b.) Show that the maximum magnitude of the acceleration of the particle is 4aw², stating the angle at which it occurs.

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A particle moves round the polar curve r = a(2 + cos 0), a > 0, with constant angular velocity w.
a.) Find, in terms of r, a, w, the radial component of the acceleration of the particle.
b.) Show that the maximum magnitude of the acceleration of the particle is 4aw?, stating the angle
at which it Occurs.
Transcribed Image Text:A particle moves round the polar curve r = a(2 + cos 0), a > 0, with constant angular velocity w. a.) Find, in terms of r, a, w, the radial component of the acceleration of the particle. b.) Show that the maximum magnitude of the acceleration of the particle is 4aw?, stating the angle at which it Occurs.
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