Member ABC is controlled using a rack and pinion, which is connected at B. (The rack is the long, horizontal gear.) The rack can only move horizontally and the pinion does not translate. A block in a sleeve is connected at A and allows movement only in the vertical direction. Member ABC has a total length of 2.40 m and the distance between A and B is 1.25 m1.25 m . When member ABC forms an angle of θ=37.0∘ with the rack, the acceleration of B is aB=1.95 m/s2 and the velocity of the block attached at A is vA=3.15 m/s in the direction shown. Positive angular velocity and acceleration are in the counterclockwise direction.   A) Find the acceleration of A at the instant shown. Indicate the direction with the sign based on the axes in the figure. aA= B) Find acceleration of C, aC, at the instant shown. Give your answer in component form. aC=

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Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.