2. The rack slides on a horizontal surface with the velocity and acceleration shown. The rack...
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2. The rack slides on a horizontal surface with the velocity and acceleration shown. The rack meshes with gear A, and gear A meshes with B. Gears A and B rotate about fixed centres. Determine (a) the angular velocities of gears A and B at this instant in rad/s (b) the angular accelerations of gears A and B at this instant in rad/s² (c) the magnitude and direction of the acceleration of point P on the outer edge of gear B at this instant (d) the number of revolutions gear B will turn before stopping and the distance in metres that point P travels in this time TA = 30 mm TC 30° www TB = 60 mm VR = 2.0 m/s aR = 0.80 m/s² 2. The rack slides on a horizontal surface with the velocity and acceleration shown. The rack meshes with gear A, and gear A meshes with B. Gears A and B rotate about fixed centres. Determine (a) the angular velocities of gears A and B at this instant in rad/s (b) the angular accelerations of gears A and B at this instant in rad/s² (c) the magnitude and direction of the acceleration of point P on the outer edge of gear B at this instant (d) the number of revolutions gear B will turn before stopping and the distance in metres that point P travels in this time TA = 30 mm TC 30° www TB = 60 mm VR = 2.0 m/s aR = 0.80 m/s²
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a Angular velocity of gear A The angular velocity of gear A can be found using the formula A VR TA 2 ... View the full answer
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