4 0.00 5 -0.60 6. -1.04 7 -1.20

Precision Machining Technology (MindTap Course List)
2nd Edition
ISBN:9781285444543
Author:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Publisher:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Chapter1: Introduction To Machining
Section1.2: Careers In Machining
Problem 5RQ
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Table 1. Geometry of the cam.
Point
x (in.) | y (in.)
1
2.20
0.00
1.28
0.88
3
0.66
1.14
4
0.00
1.20
-0.60
1.04
6.
-1.04
0.60
7
-1.20
0.00
e 1. Schematic of cam profile.
If the cam follows a straight line profile from x=1.28 to x= 0.66, what is the value of
y at x=1.10 using Newton's divided difference method of interpolation and a first order
polynomial.
If the cam follows a quadratic profile from x=2.20 to x=1.28 to x=0.66, what is the
value of y at x=1.10 using Lagrange method of interpolation and a second order
polynomial.
Find the cam profile using all seven points in Table 1, Newton's divided difference
method of interpolation and a sixth order polynomial.
Find the cam profile using all seven points in Table 1, Least-Squares method of
regression and a sixth order polynomial.
Transcribed Image Text:Table 1. Geometry of the cam. Point x (in.) | y (in.) 1 2.20 0.00 1.28 0.88 3 0.66 1.14 4 0.00 1.20 -0.60 1.04 6. -1.04 0.60 7 -1.20 0.00 e 1. Schematic of cam profile. If the cam follows a straight line profile from x=1.28 to x= 0.66, what is the value of y at x=1.10 using Newton's divided difference method of interpolation and a first order polynomial. If the cam follows a quadratic profile from x=2.20 to x=1.28 to x=0.66, what is the value of y at x=1.10 using Lagrange method of interpolation and a second order polynomial. Find the cam profile using all seven points in Table 1, Newton's divided difference method of interpolation and a sixth order polynomial. Find the cam profile using all seven points in Table 1, Least-Squares method of regression and a sixth order polynomial.
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