International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN: 9781305501607
Author: Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
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Chapter 3, Problem 3.17P
The 3200-1b weight is supported by two cables. Knowing that the resultant of the cable tensions
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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 3 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
Ch. 3 - Determine which of the force systems in (b)...Ch. 3 - Replace the force system acting on the beam by an...Ch. 3 - Replace the force system with an equivalent...Ch. 3 - The four forces shown act on the rollers of an...Ch. 3 - Replace the three forces with an equivalent...Ch. 3 - The force system acting on the machine part is...Ch. 3 - The three forces are perpendicular to the...Ch. 3 - Replace the three forces acting on the...Ch. 3 - When the three forces acting on the...Ch. 3 - Represent each of the force systems with a...
Ch. 3 - A worker applies the forces P=8i+10jlb and Q=8ilb...Ch. 3 - When the three forces are replaced by an...Ch. 3 - Replace the two forces and a couple acting on the...Ch. 3 - The shaft-and-pulley assembly ABCD is driven by...Ch. 3 - Replace the force and the couple with an...Ch. 3 - Determine the resultant force R and its line of...Ch. 3 - The 3200-1b weight is supported by two cables....Ch. 3 - The resultant of the three concurrent forces...Ch. 3 - The overhead electric hoist C rides along a track...Ch. 3 - Determine the resultant of the two forces and the...Ch. 3 - Determine the resultant of the force system shown.Ch. 3 - Determine the resultant of the three forces if (a)...Ch. 3 - Determine the resultant of the force system acting...Ch. 3 - Determine the resultant of the forces shown.Ch. 3 - The resultant of the three forces is a force R...Ch. 3 - The resultant of the four belt tensions and the...Ch. 3 - The resultant of the three forces shown is a...Ch. 3 - The resultant of the three forces is the force...Ch. 3 - The bar AB, which is inclined at the angle to the...Ch. 3 - The values of Fz,Mx, and My for three force...Ch. 3 - State whether the resultant of each force system...Ch. 3 - Determine the resultant of the three cable...Ch. 3 - The resultant of the three cable tensions acts...Ch. 3 - The resultant of the three forces acting along the...Ch. 3 - The resultant of the four forces that act on the...Ch. 3 - Determine the resultant R of the three forces...Ch. 3 - Find the resultant of the three forces acting on...Ch. 3 - The resultant of the forces P1,P2, and the couple...Ch. 3 - Find the resultant of the two forces and the...Ch. 3 - Determine the resultant of the force system acting...Ch. 3 - The wrench shown is the resultant of a...Ch. 3 - Determine the resultant of the four forces.Ch. 3 - The force-couple system acting at O is equivalent...Ch. 3 - The force-couple system consists of the force...Ch. 3 - (a) Replace the force system shown by an...Ch. 3 - During a storm, wind exerts a pressure of 110N/m2,...Ch. 3 - Water pressure acting on the vertical wall of the...Ch. 3 - Determine the resultant of the line load acting on...Ch. 3 - Determine the resultant of the line load acting on...Ch. 3 - Determine the resultant of the line loads acting...Ch. 3 - Find the resultant of the distributed load acting...Ch. 3 - Determine the resultant of the uniformly...Ch. 3 - The figure shows the water pressure acting on the...Ch. 3 - The water pressure acting on a masonry dam varies...Ch. 3 - The concrete pier is subjected to soil pressure...Ch. 3 - Find the resultant of the three forces acting on...Ch. 3 - The resultant of the force system shown is a...Ch. 3 - Determine the resultant of the three forces acting...Ch. 3 - The five forces act at end A of the boom....Ch. 3 - Find the resultant of the distributed load acting...Ch. 3 - Determine the resultant of the line loads acting...Ch. 3 - Replace the force system shown with an equivalent...Ch. 3 - The center of gravity of the 30-lb square plate is...Ch. 3 - Determine the resultant of the force system shown.Ch. 3 - Find the x- and y-coordinates of the point where...Ch. 3 - Replace the force system acting on the pipe with...Ch. 3 - Replace the coplanar force system that acts on the...Ch. 3 - Determine the magnitude of the resultant of the...Ch. 3 - Determine the wrench that is equivalent to the...Ch. 3 - The resultant of the three cable tensions acting...
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