EBK ENGINEERING MECHANICS: DYNAMICS, SI
8th Edition
ISBN: 9781119047315
Author: Bolton
Publisher: VST
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Chapter 4.5, Problem 4P
To determine
The angular momentum
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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
EBK ENGINEERING MECHANICS: DYNAMICS, SI
Ch. 4.5 - The system of three particles has the indicated...Ch. 4.5 - Prob. 2PCh. 4.5 - Prob. 3PCh. 4.5 - Prob. 4PCh. 4.5 - Prob. 5PCh. 4.5 - Prob. 6PCh. 4.5 - The total linear momentum of a system of five...Ch. 4.5 - Prob. 8PCh. 4.5 - Prob. 9PCh. 4.5 - The monkeys of Prob. 4/9 are now climbing along...
Ch. 4.5 - Prob. 11PCh. 4.5 - Each of the five connected particles has a mass of...Ch. 4.5 - Prob. 13PCh. 4.5 - Calculate the vertical acceleration of the system...Ch. 4.5 - The two small spheres, each of mass m, and their...Ch. 4.5 - Prob. 17PCh. 4.5 - A centrifuge consists of four cylindrical...Ch. 4.5 - The three small spheres are welded to the light...Ch. 4.5 - Prob. 20PCh. 4.5 - The 300-kg and 400-kg mine cars are rolling in...Ch. 4.5 - Prob. 22PCh. 4.5 - The man of mass m1 and the woman of mass m2 are...Ch. 4.5 - The woman A, the captain B, and the sailor C weigh...Ch. 4.5 - Prob. 25PCh. 4.5 - Prob. 26PCh. 4.5 - Prob. 27PCh. 4.5 - Prob. 28PCh. 4.5 - Prob. 29PCh. 4.5 - The carriage of mass 2m is free to roll along the...Ch. 4.5 - Prob. 31PCh. 4.5 - Prob. 33PCh. 4.5 - Prob. 34PCh. 4.5 - Prob. 35PCh. 4.5 - Prob. 36PCh. 4.5 - Prob. 37PCh. 4.5 - Prob. 38PCh. 4.5 - Prob. 39PCh. 4.5 - Prob. 40PCh. 4.5 - Prob. 41PCh. 4.5 - Prob. 42PCh. 4.5 - Prob. 43PCh. 4.5 - The 90° vane moves to the left with a constant...Ch. 4.5 - The pipe bend shown has a cross-sectional area A...Ch. 4.5 - A jet of fluid with cross-sectional area A and...Ch. 4.5 - Prob. 47PCh. 4.5 - Prob. 48PCh. 4.5 - Prob. 49PCh. 4.5 - Prob. 50PCh. 4.5 - Prob. 51PCh. 4.5 - Prob. 52PCh. 4.5 - Prob. 53PCh. 4.5 - Prob. 54PCh. 4.5 - Prob. 55PCh. 4.5 - Prob. 56PCh. 4.5 - Prob. 57PCh. 4.5 - Prob. 58PCh. 4.5 - Prob. 60PCh. 4.5 - Prob. 61PCh. 4.5 - Prob. 62PCh. 4.5 - Prob. 63PCh. 4.5 - Prob. 64PCh. 4.5 - Prob. 65PCh. 4.5 - Prob. 66PCh. 4.5 - Prob. 67PCh. 4.5 - In the figure is shown a detail of the stationary...Ch. 4.7 - When the rocket reaches the position in its...Ch. 4.7 - Prob. 70PCh. 4.7 - Prob. 71PCh. 4.7 - Prob. 72PCh. 4.7 - Prob. 73PCh. 4.7 - Prob. 74PCh. 4.7 - Prob. 75PCh. 4.7 - Prob. 76PCh. 4.7 - Prob. 77PCh. 4.7 - Prob. 78PCh. 4.7 - Prob. 79PCh. 4.7 - Prob. 80PCh. 4.7 - Prob. 81PCh. 4.7 - Prob. 82PCh. 4.7 - Prob. 83PCh. 4.7 - Prob. 84PCh. 4.7 - Prob. 85PCh. 4.7 - Prob. 86PCh. 4.7 - Prob. 87PCh. 4.7 - Prob. 88PCh. 4.7 - Prob. 89PCh. 4.7 - Prob. 90PCh. 4.7 - Prob. 91PCh. 4.7 - Prob. 92PCh. 4.8 - Prob. 93RPCh. 4.8 - For the particle system of Prob. 4/93, determine...Ch. 4.8 - Prob. 95RPCh. 4.8 - Prob. 96RPCh. 4.8 - Prob. 97RPCh. 4.8 - Prob. 98RPCh. 4.8 - Prob. 99RPCh. 4.8 - Prob. 100RPCh. 4.8 - Prob. 101RPCh. 4.8 - Prob. 102RPCh. 4.8 - Prob. 104RPCh. 4.8 - Prob. 105RPCh. 4.8 - Prob. 106RPCh. 4.8 - Prob. 107RPCh. 4.8 - Prob. 108RPCh. 4.8 - Prob. 109RPCh. 4.8 - Prob. 110RPCh. 4.8 - A rope or hinged-link bicycle-type chain of length...
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