Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Textbook Question
Chapter 30, Problem 1A
Read the decimal-inch vernier caliper measurement for this setting.
Expert Solution & Answer
To determine
The measurement in the given Vernier scale.
Answer to Problem 1A
Explanation of Solution
Given information:
Calculation:
To obtain the main scale reading: Look at the image,
To obtain the Vernier scale reading: Look closely at the image for an alignment of the scale lines of the main scale and Vernier scale. In the image, the aligned line corresponds to 5. Hence, the Vernier scale reading is
In order to obtain the final measurement reading, add the main scale reading and Vernier scale reading together. This will give
Hence, final measurement reading, from given image is found
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Students have asked these similar questions
4. Consider Chebychev's equation
(1 - x²)y" - xy + λy = 0
with boundary conditions y(-1) = 0 and y(1) = 0, where X is a constant.
(a) Show that Chebychev's equation can be expressed in Sturm-Liouville form
d
· (py') + qy + Ary = 0,
dx
y(1) = 0, y(-1) = 0,
where p(x) = (1 = x²) 1/2, q(x) = 0 and r(x) = (1 − x²)-1/2
(b) Show that the eigenfunctions of the Sturm-Liouville equation are extremals of the
functional A[y], where
A[y]
=
I[y]
J[y]'
and I[y] and [y] are defined by
-
I [y] = √, (my² — qy²) dx
and
J[y] = [[", ry² dx.
Explain briefly how to use this to obtain estimates of the smallest eigenvalue >1.
1
(c) Let k > be a parameter. Explain why the functions y(x) = (1-x²) are suitable
4
trial functions for estimating the smallest eigenvalue. Show that the value of A[y]
for these trial functions is
4k2
A[y] =
=
4k - 1'
and use this to estimate the smallest eigenvalue \1.
Hint:
L₁ x²(1 − ²)³¹ dr =
1
(1 - x²)³ dx
(ẞ > 0).
2ẞ
You recieve a case of fresh Michigan cherries that weighs 8.2 kg. You will be making cherry pies. Each pie will require 1 3/4 pounds of pitted cherries. How many pies can be made from the case if the yield percent for cherries is 87
Q/ show that the system:
x = Y + x(x² + y²)
y° =
=x+y (x² + y²)
9
X=-x(x²+ y²)
9 X
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have the same lin car part at (0,0) but they are topologically
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Chapter 30 Solutions
Mathematics for Machine Technology
Ch. 30 - Read the decimal-inch vernier caliper measurement...Ch. 30 - Measure this line segment to the nearest 164.Ch. 30 - A hole has a diameter of 24.649mm 0.004mm+0.002mm...Ch. 30 - Express 37.295 centimeters as inches. Round the...Ch. 30 - Express 458 % as a decimal fraction.Ch. 30 - Use a calculator to determine...Ch. 30 - Read the metric vernier caliper measurements for...Ch. 30 - Read the metric vernier caliper measurements for...Ch. 30 - Read the metric vernier caliper measurements for...Ch. 30 - Read the metric vernier caliper measurements for...
Ch. 30 - Read the metric vernier caliper measurements for...Ch. 30 - Read the metric vernier caliper measurements for...Ch. 30 - Read the metric height gage measurements for the...Ch. 30 - Read the metric height gage measurements for the...Ch. 30 - Read the metric height gage measurements for the...Ch. 30 - Prob. 16ACh. 30 - Prob. 17ACh. 30 - Prob. 18A
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