Show that radial acceleration is zero when ? = 1/ v 2 rad

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Spiraling particle A particle moves outward along a spiral. Its trajectory is given by r = Aθ, where A is a constant. A = (1/π) m/rad. θ increases in time according to θ = αt2/2, where α is a constant.

(a) Sketch the motion, and indicate the approximate velocity and acceleration at a few points.

(b) Show that the radial acceleration is zero when θ = 1/ √ 2 rad.

(c) At what angles do the radial and tangential accelerations have equal magnitude

Reference no: EM131099297

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