Bundle: Electricity For Refrigeration, Heating, And Air Conditioning, 10th + Refrigeration And Air Conditioning Technology, 8th + Mindtap Hvac, 4 ... Whitman/johnson's Refrigeration And Air Condi
8th Edition
ISBN: 9780357261385
Author: Russell E. Smith
Publisher: Cengage Learning
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Chapter 31, Problem 28RQ
Describe how a liquid-filled flame-proving system functions.
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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 31 Solutions
Bundle: Electricity For Refrigeration, Heating, And Air Conditioning, 10th + Refrigeration And Air Conditioning Technology, 8th + Mindtap Hvac, 4 ... Whitman/johnson's Refrigeration And Air Condi
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