Bundle: Automotive Technology: A Systems Approach, 6th + LMS Integrated for MindTap Auto Trades Printed Access Card
6th Edition
ISBN: 9781305366749
Author: Jack Erjavec, Rob Thompson
Publisher: Cengage Learning
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Chapter 28, Problem 8RQ
To determine
Whether the given statement is True or false.
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Generate the kinematic diagram of the following mechanism. Then, draw their graphs and calculate their degrees of freedom (DoF) using Gruebler's formula.
An elastic bar of length L = 1m and cross section A = 1cm2 spins with
angular velocity ω about an axis, as shown in the figure below. The
radial acceleration at a generic point x along the bar is a(x) = ω2x,
where ω= 100rad/s is the angular velocity. The bar is pinned on the
rotation axis at x = 0. A mass M = 1kg is attached to the right end of
the bar. Due to the radial acceleration, the bar stretches along x with
displacement function u(x). The displacement u(x) solves the BVP
(strong form) sketched below:
d
dx (σ(x)) + ρa(x) = 0 PDE
σ(x) = E du
dx Hooke’s law
(1)
u(0) =?? essential BC
σ(L) =?? natural BC
where σ(x) is the axial stress in the rod, ρ= 2700kg /m3 is the mass
density, and E = 70GPa is the Young’s modulus
1. Define appropriate BCs for the strong BVP
2. Find the solution of the strong BVP analytically
3. Derive the weak form of the BVP.
Gruebler's formula for the following mechanism?
Chapter 28 Solutions
Bundle: Automotive Technology: A Systems Approach, 6th + LMS Integrated for MindTap Auto Trades Printed Access Card
Ch. 28 - Pump gasoline may contain a small amount of...Ch. 28 - True or False? The diesel fuels antiknock quality...Ch. 28 - What percentage of ethanol does E85 contain?Ch. 28 - List five advantages the use of piezoelectric...Ch. 28 - What does the Reid vapor pressure (RVP) test...Ch. 28 - List three alternative fuels for an internal...Ch. 28 - Why is the sulfur content in gasoline limited?Ch. 28 - Prob. 8RQCh. 28 - What is particulate matter and when is it...Ch. 28 - What are oxygenates and why are they added to...
Ch. 28 - How does SCR lower the content in a diesels...Ch. 28 - True or False? Piezoelectric materials can emit a...Ch. 28 - Name three driveability factors that are affected...Ch. 28 - Which of the following statements about hydrogen...Ch. 28 - Which of the following chemicals is commonly added...Ch. 28 - Technician A says that the use of methanol in...Ch. 28 - Technician A says that reformulated gasoline...Ch. 28 - Technician A says that dedicated vehicles are...Ch. 28 - Technician A says white smoke in the exhaust of a...Ch. 28 - Technician A says piezo material is a type of...Ch. 28 - Prob. 6ASRQCh. 28 - While discussing chemicals that are currently...Ch. 28 - While discussing common rail fuel injection...Ch. 28 - Technician A says diesel engines consume less fuel...Ch. 28 - While discussing the reasons why the use of E85...
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