The rotation of rod OA about O is defined by the relation 0=21° +3t, where 0 and t are expressed in radians and seconds, respectively. Collar B slides along the rod so that its distance from O is r=4t³ + 5t² , where r and t are expressed in millimeters and seconds, respectively. When t=1 s, determine (a) the velocity of the collar, (b) the acceleration of the collar, (c) the radius of curvature of the path of the collar.
The rotation of rod OA about O is defined by the relation 0=21° +3t, where 0 and t are expressed in radians and seconds, respectively. Collar B slides along the rod so that its distance from O is r=4t³ + 5t² , where r and t are expressed in millimeters and seconds, respectively. When t=1 s, determine (a) the velocity of the collar, (b) the acceleration of the collar, (c) the radius of curvature of the path of the collar.
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