Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Textbook Question
Chapter 87, Problem 27A
Write a CNC G-code program to machine the part in the following figure, so that the tip of the tool follows this path:
- rapid movement to a point above P8, with
change to tool "4, with a clockwise spindle speed of 2500 rpm, with coolant on and a feed rate of 14 in./min - using incremental dimensioning -rapid movement to 4 in. above P1
- turn off the spindle and coolant
- use absolute dimensioning to return to the start point
- end the program
-rapid movement to lower the tool to be 0.1 in. above the top surface of the part
-move the tool to be 0.5 in. below the top at a 14 in./min feed rate
-follow the path around the perimeter to points P2 through PI, ending at P1, using the 14in„/min feed rate
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Calculs Insights
πT
| cos x |³ dx
59
2
2. Consider the ODE
u' = ƒ (u) = u² + r
where r is a parameter that can take the values r = −1, −0.5, -0.1, 0.1. For each value of r:
(a) Sketch ƒ(u) = u² + r and determine the equilibrium points.
(b) Draw the phase line.
(d) Determine the stability of the equilibrium points.
(d) Plot the direction field and some sample solutions,i.e., u(t)
(e) Describe how location of the equilibrium points and their stability change as you increase the
parameter r.
(f) Using the matlab program phaseline.m generate a solution for each value of r and the initial
condition u(0) = 0.9. Print and turn in your result for r = −1. Do not forget to add a figure caption.
(g) In the matlab program phaseline.m set the initial condition to u(0) = 1.1 and simulate the ode
over the time interval t = [0, 10] for different values of r. What happens? Why? You do not need to
turn in a plot for (g), just describe what happens.
True or False and why
Chapter 87 Solutions
Mathematics For Machine Technology
Ch. 87 - Prob. 1ACh. 87 - Express the binary number 1101.0012as a decimal...Ch. 87 - Prob. 3ACh. 87 - Prob. 4ACh. 87 - Prob. 5ACh. 87 - Prob. 6ACh. 87 - Prob. 7ACh. 87 - What does a G01 tell a machine to perform?Ch. 87 - Prob. 9ACh. 87 - Prob. 10A
Ch. 87 - Prob. 11ACh. 87 - Prob. 12ACh. 87 - Prob. 13ACh. 87 - Prob. 14ACh. 87 - Prob. 15ACh. 87 - Prob. 16ACh. 87 - Prob. 17ACh. 87 - Prob. 18ACh. 87 - Prob. 19ACh. 87 - Prob. 20ACh. 87 - Prob. 21ACh. 87 - Prob. 22ACh. 87 - Write a G-code program for the counterclockwise...Ch. 87 - Prob. 24ACh. 87 - Prob. 25ACh. 87 - Prob. 26ACh. 87 - Write a CNC G-code program to machine the part in...Ch. 87 - Prob. 28A
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