Engineering Mechanics: Statics
13th Edition
ISBN: 9780132915540
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Chapter 11.7, Problem 62RP
Determine the horizontal force P required to hold the
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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 11 Solutions
Engineering Mechanics: Statics
Ch. 11.3 - Each link has a mass of 20 kg.Ch. 11.3 - Determine the magnitude of force P required to...Ch. 11.3 - Determine the angle for equilibrium. The spring...Ch. 11.3 - Determine the angle for equilibrium. The spring...Ch. 11.3 - Prob. 5FPCh. 11.3 - Determine the angle for equilibrium. The spring...Ch. 11.3 - Each of the four links has a length L and is pin...Ch. 11.3 - The lamp weighs 10 lb.Ch. 11.3 - Prob. 3PCh. 11.3 - Prob. 4P
Ch. 11.3 - Prob. 5PCh. 11.3 - Prob. 6PCh. 11.3 - It vertical forces P1 = P2 = 30 lb act at C and E...Ch. 11.3 - Prob. 8PCh. 11.3 - if the uniform inks AB and CD each weigh 10 lb....Ch. 11.3 - Prob. 10PCh. 11.3 - Prob. 11PCh. 11.3 - Prob. 12PCh. 11.3 - Prob. 13PCh. 11.3 - Prob. 14PCh. 11.3 - Prob. 15PCh. 11.3 - Prob. 16PCh. 11.3 - Prob. 17PCh. 11.3 - Prob. 18PCh. 11.3 - Prob. 19PCh. 11.3 - The lever is in balance when the load and block...Ch. 11.3 - If the load F weighs 20 lb and the block G weighs...Ch. 11.3 - Determine the force in the hydraulic cylinder...Ch. 11.3 - Determine the horizontal compressive force F...Ch. 11.3 - Prob. 24PCh. 11.3 - Prob. 25PCh. 11.7 - Prob. 26PCh. 11.7 - If the potential function for a conservative...Ch. 11.7 - Prob. 28PCh. 11.7 - Determine the equilibrium positions and...Ch. 11.7 - Prob. 30PCh. 11.7 - Prob. 31PCh. 11.7 - Determine the angle for equilibrium when a weight...Ch. 11.7 - Prob. 33PCh. 11.7 - Prob. 34PCh. 11.7 - Prob. 35PCh. 11.7 - The bars each have a mass of 3 Kg one the...Ch. 11.7 - Prob. 37PCh. 11.7 - Prob. 38PCh. 11.7 - Prob. 39PCh. 11.7 - It is unstretched when the rod assembly is in the...Ch. 11.7 - Prob. 41PCh. 11.7 - Determine the weight W2, that is on the pan in...Ch. 11.7 - Prob. 43PCh. 11.7 - Determine the steepest grade along which it can...Ch. 11.7 - Prob. 45PCh. 11.7 - Prob. 46PCh. 11.7 - Point C is coincident with B when OA is...Ch. 11.7 - If the block has three equal sides of length d,...Ch. 11.7 - Prob. 49PCh. 11.7 - Prob. 50RPCh. 11.7 - Prob. 51RPCh. 11.7 - Prob. 52RPCh. 11.7 - Prob. 53RPCh. 11.7 - Prob. 54RPCh. 11.7 - Prob. 55RPCh. 11.7 - Prob. 56RPCh. 11.7 - Prob. 57RPCh. 11.7 - Prob. 58RPCh. 11.7 - If both spring DE and BC are unstretched when =...Ch. 11.7 - Prob. 60RPCh. 11.7 - Prob. 61RPCh. 11.7 - Determine the horizontal force P required to hold...
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