The mechanism of a machine is constructed so that the roller at A follows the surface of

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The mechanism of a machine is constructed so that the roller at A follows the surface of the cam described by the equation r = (0.3 +0.2 cos θ) m. If θ̇ = 0.5 rad/s and θ̈ = 0, determine the magnitudes of the roller's velocity and acceleration when θ = 30°. Neglect the size of the roller. Also determine the velocity components (VA)x and (VA)y of the roller at this instant. The rod to which the roller is attached remains vertical and can slide up or down along the guides while the guides translate horizontally to the left.

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