In the design of a control mechanism, the vertical slotted guide is moving with a constant velocity x˙ = 17 in./sec during the interval of motion from x = −7 in. to x = +7 in. for the instant when x = 4 in., calculate the n- and t-components of acceleration of the pin p, which is confined to move in the parabolic slot. from these results, determine the radius of curvature ρ of the path at this position. verify your result by computing ρ from the expression cited in appendix c/10.