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The two-dimensional motion of a particle is defined by the rela- tions r = 2a cos 0 and 0 = bt/2, where a and

The two-dimensional motion of a particle is defined by the rela- tions r = 2a cos 0 and 0 = bt/2, where a and 

The two-dimensional motion of a particle is defined by the rela- tions r = 2a cos 0 and 0 = bt/2, where a and b are constants. Determine (a) the magnitudes of the velocity and acceleration at any instant, (b) the radius of curvature of the path. What conclu- sion can you draw regarding the path of the particle?

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