(ii) The position vector of a particle, where w, a and b are constants, is given by r = a coswt +bsin wt. (a) Show that

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Ii The Position Vector Of A Particle Where W A And B Are Constants Is Given By R A Coswt Bsin Wt A Show That 1 (37.5 KiB) Viewed 23 times

(ii) The position vector of a particle, where w, a and b are constants, is given by r = a coswt +bsin wt. (a) Show that the equation of motion is dar dit? +war = 0; [3] ] (b) Also show that dr dt = wa x b. 3] [3] (iii) If the acceleration vector a(t) has constant magnitude but changes direction with t, and a(t) = 0, show that a and da/dt are perpendicular vectors. 3] [3]