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 8A
Read the metric vernier caliper measurements for the following settings.
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PROBLEM 1: A 12-lb rod ABC is impacted by a 2-lb object DE as shown. The
object embeds into the end of the rod at point C, determine immediately after the
impact
(a) the angular velocity of the rod ABC,
(b) the angular acceleration of the rod ABC,
A
2
B
Unit: ft
(c) the components of the reaction at B.
12
Assume that the object and the rod move as a single body after the impact.
Vo
= 35 ft/s
C
E
D
6
Please answer both questions clearly thanks
PROBLEM 2: A baseball catcher includes a 6-kg rod with a small net of
negligible mass at point B. A spring of unstretched length 0.3 m is attached to the
midpoint of bar AB at one end and to stationary point D at the other. A stopper at
point E keeps the catcher in the vertical position before the pitch. Knowing the
catcher just barely rotates when it catches a fastball of mass 0.18 kg, determine the
required spring constant of the spring. Given = 1.5 m.
Bonus: Develop a MATLAB program to solve for this problem.
v₁ = 40 m/s
Unit: m
1
B
L
E
A
D
www
wwwwwww
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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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- Q3)A: Given H(x,y)=x2-x+ y²as a first integral of an ODEs, find this ODES corresponding to H(x,y) and show the phase portrait by using Hartman theorem and by drawing graph of H(x,y)-e. Discuss the stability of critical points of the corresponding ODEs.arrow_forwardQ/ Write Example is First integral but not Conservation system.arrow_forwardQ/ solve the system X° = -4X +2XY-8 y°= 2 4y² - x2arrow_forward
- Q4: Discuss the stability critical point of the ODES x + sin(x) = 0 and draw phase portrait.arrow_forwardUsing Karnaugh maps and Gray coding, reduce the following circuit represented as a table and write the final circuit in simplest form (first in terms of number of gates then in terms of fan-in of those gates). HINT: Pay closeattention to both the 1’s and the 0’s of the function.arrow_forwardRecall the RSA encryption/decryption system. The following questions are based on RSA. Suppose n (=15) is the product of the two prime numbers 3 and 5.1. Find an encryption key e for for the pair (e, n)2. Find a decryption key d for for the pair (d, n)3. Given the plaintext message x = 3, find the ciphertext y = x^(e) (where x^e is the message x encoded with encryption key e)4. Given the ciphertext message y (which you found in previous part), Show that the original message x = 3 can be recovered using (d, n)arrow_forward
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