A square plate with sides of unit length has its center at the origin of an x-y coordinate plane; the sides are parallel to either the x- or the y- axis. A hole of radius r is removed from the plate the center of this hole is on the x-axis at a distance r from the left side of the plate. The centroid of the remaining piece has an x-coordinate equal to c. The value of r that maximizes c satisfies the equation: Tr³ – 3r + 1 = 0 a. Draw the figure and label the parts. b. Find the real root r of the cubic equation by the SECANT METHOD. Use e = 0.0001 and starting values 0.3500 and 0.4500.

A square plate with sides of unit length has its center at the origin of an x-y coordinate plane; the sides are parallel to either the x- or the y- axis. A hole of radius r is removed from the plate the center of this hole is on the x-axis at a distance r from the left side of the plate. The centroid of the remaining piece has an x-coordinate equal to c. The value of r that maximizes c satisfies the equation: Tr³ – 3r + 1 = 0 a. Draw the figure and label the parts. b. Find the real root r of the cubic equation by the SECANT METHOD. Use e = 0.0001 and starting values 0.3500 and 0.4500.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter29: Tolerance, Clearance, And Interference

Section: Chapter Questions

Problem 9A: Refer to Figure 29-7. Dimension A with its tolerance is given in each of the following problems....

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