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MindTap Engineering for Haik/Sivaloganathan/Shahin’s Engineering Design Process, 3rd Edition, [Instant Access], 2 terms (12 months)
3rd Edition
ISBN: 9781305387300
Author: Yousef Haik; Sangarappillai Sivaloganathan; Tamer M. Shahin
Publisher: Cengage Learning US
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Chapter 4.12, Problem 7P
To determine
The objective tree for the following statement: We have a mountain-sized pile of wood chips that we want to process into the fire logs for home use. We are located in Tallahassee, Florida. We can have a continuous supply of wood chips throughout the year. We should be able to produce 50 fire logs per minute. The shareholders require us to have a large profit margin, and our price should be lower than our competition for the same size logs. The logs should produce enough heat to keep our customers satisfied, and they should have environmentally clean exhaust.
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An aluminum rod of length L
=
1m has mass density p = 2700 kg and
Young's modulus E = 70 GPa. The rod is fixed at both ends. The exact
natural eigenfrequencies of the rod are wexact
E
=
√
ρ
for n=1,2,3,. . . .
1. What is the minimum number of linear elements necessary to
determine the fundamental frequency w₁ of the system? Discretize
the rod in that many elements of equal length, assemble the global
system of equations KU = w² MU, and find the fundamental
frequency w₁. Compute the relative error e₁ = (w1 - wexact) /w exact
Sketch the fundamental mode of vibration.
2. Use COMSOL to solve the same problem. Show the steps necessary
to find the fundamental frequency and mode of the rod. What is the
relative error using linear elements and a normal mesh?
A ball with a mass of 5.0 kg is hanging from a string and is initially at rest.
A bullet with a mass of 10.0 g and a velocity of 200.0 m/s is fired at the ball.
The bullet embeds itself inside the ball.
How high (h) do the ball and the bullet rise?
Gravitational acceleration: g=9.81g = 9.81g=9.81 m/s².
Don't use chatgpt.
Need handwritten solution.
Mechanical engineering
Chapter 4 Solutions
MindTap Engineering for Haik/Sivaloganathan/Shahin’s Engineering Design Process, 3rd Edition, [Instant Access], 2 terms (12 months)
Ch. 4.12 - Consider the following problem statement and state...Ch. 4.12 - Write down the elements of the design brief for a...Ch. 4.12 - Prob. 4PCh. 4.12 - Prob. 5PCh. 4.12 - Draw an objective tree for the following: If you...Ch. 4.12 - Prob. 7PCh. 4.12 - As technology advances and new materials are...Ch. 4.12 - Most houses have vents that open and close...Ch. 4.12 - Prob. 11PCh. 4.12 - Prob. 12P
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