A particle moves along a spiral described by the equation


A particle moves along a spiral described by the equation r=r(inital)+kappa*theta, where r(inital) and kappa are constants, and where theta is in radians. Assume that theta dot =alpha*time, where alpha= 0.15rad/s^2 and t is time expressed in seconds. If r=.25m and theta = 0 for t=0, determine kappa such that, for t=10s, the acceleration is completely in the radial direction. In addition, determine the value of the polar coordinates of the point for t=10s.

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Mechanical Engineering: A particle moves along a spiral described by the equation
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