VECTOR MECHANICS FOR ENGINEERS: STATICS
12th Edition
ISBN: 9781260536225
Author: BEER
Publisher: MCG
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Textbook Question
Chapter 7.4, Problem 7.95P
If dA = 8 ft and dc = 10 ft, determine the components of the reaction at E.
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F1
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X
F2
You and your friends are planning to move the log. The log.
needs to be moved straight in the x-axis direction and it
takes a combined force of 2.9 kN. You (F1) are able to exert
610 N at a = 32°. What magnitude (F2) and direction (B) do
you needs your friends to pull?
Your friends had to pull at:
magnitude in Newton, F2
=
direction in degrees, ẞ =
N
deg
100
As a spring is heated, its spring constant decreases. Suppose the spring is heated and then cooled so that the
spring constant at time t is k(t) = t sin + N/m. If the mass-spring system has mass m = 2 kg and a
damping constant b = 1 N-sec/m with initial conditions x(0) = 6 m and x'(0) = -5 m/sec and it is
subjected to the harmonic external force f (t) = 100 cos 3t N. Find at least the first four nonzero terms in
a power series expansion about t = 0, i.e. Maclaurin series expansion, for the displacement:
• Analytically (hand calculations)
Creating Simulink Model
Plot solutions for first two, three and four non-zero terms as well as the Simulink solution on the same graph
for the first 15 sec. The graph must be fully formatted by code.
Two springs and two masses are attached in a straight vertical line as shown in Figure Q3. The system is set
in motion by holding the mass m₂ at its equilibrium position and pushing the mass m₁ downwards of its
equilibrium position a distance 2 m and then releasing both masses. if m₁ = m² = 1 kg, k₁ = 3 N/m and
k₂ = 2 N/m.
(y₁ = 0)
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(Net change in
spring length
=32-31)
(y₂ = 0)
m₂ = 1
32
32
System in
static
equilibrium
System in
motion
Figure Q3 - Coupled mass-spring system
Determine the equations of motion y₁ (t) and y₂(t) for the two masses m₁ and m₂ respectively:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Produce an animation of the system for all solutions for the first minute.
Chapter 7 Solutions
VECTOR MECHANICS FOR ENGINEERS: STATICS
Ch. 7.1 - 7.1 and 7.2 Determine the internal forces (axial...Ch. 7.1 - Prob. 7.2PCh. 7.1 - Determine the internal forces at point J when =...Ch. 7.1 - Fig. P7.3 and P7.4 7.4 Determine the internal...Ch. 7.1 - Determine the internal forces at point J when =...Ch. 7.1 - Fig. P7.5 and P7.6 7.6 Determine the internal...Ch. 7.1 - An archer aiming at a target is pulling with a...Ch. 7.1 - For the bow of Prob. 7.7, determine the magnitude...Ch. 7.1 - A semicircular rod is loaded as shown. Determine...Ch. 7.1 - A semicircular rod is loaded as shown. Determine...
Ch. 7.1 - A semicircular rod is loaded as shown. Determine...Ch. 7.1 - Fig. P7.11 and P7.12 7.12 A semicircular rod is...Ch. 7.1 - The axis of the curved member AB is a parabola...Ch. 7.1 - Knowing that the axis of the curved member AB is a...Ch. 7.1 - Knowing that the radius of each pulley is 120 mm...Ch. 7.1 - Fig. P7.15 and P7.16 7.16 Knowing that the radius...Ch. 7.1 - A 5-in.-diameter pipe is supported every 9 ft by a...Ch. 7.1 - For the frame of Prob. 7.17, determine the...Ch. 7.1 - Knowing that the radius of each pulley is 200 mm...Ch. 7.1 - Fig. P7.19 and P7.20 7.20 Knowing that the radius...Ch. 7.1 - and 7.22 A force P is applied to a bent rod that...Ch. 7.1 - and 7.22 A force P is applied to a bent rod that...Ch. 7.1 - A quarter-circular rod of weight W and uniform...Ch. 7.1 - For the rod of Prob. 7.23, determine the magnitude...Ch. 7.1 - A semicircular rod of weight W and uniform cross...Ch. 7.1 - A semicircular rod of weight W and uniform cross...Ch. 7.1 - 7.27 and 7.28 A half section of pipe rests on a...Ch. 7.1 - 7.27 and 7.28 A half section of pipe rests on a...Ch. 7.2 - 7.29 through 7.32 For the beam and loading shown,...Ch. 7.2 - 7.29 through 7.32 For the beam and loading shown,...Ch. 7.2 - 7.29 through 7.32 For the beam and loading shown,...Ch. 7.2 - 7.29 through 7.32 For the beam and loading shown,...Ch. 7.2 - 7.33 and 7.34 For the beam and loading shown, (a)...Ch. 7.2 - 7.33 and 7.34 For the beam and loading shown, (a)...Ch. 7.2 - 7.35 and 7.36 For the beam and loading shown, (a)...Ch. 7.2 - 7.35 and 7.36 For the beam and loading shown, (a)...Ch. 7.2 - 7.37 and 7.38 For the beam and loading shown, (a)...Ch. 7.2 - 7.37 and 7.38 For the beam and loading shown, (a)...Ch. 7.2 - For the beam and loading shown, (a) draw the shear...Ch. 7.2 - For the beam and loading shown, (a) draw the shear...Ch. 7.2 - For the beam and loading shown, (a) draw the shear...Ch. 7.2 - For the beam and loading shown, (a) draw the shear...Ch. 7.2 - Assuming the upward reaction of the ground on beam...Ch. 7.2 - Solve Problem 7.43 knowing that P = 3wa. PROBLEM...Ch. 7.2 - Assuming the upward reaction of the ground on beam...Ch. 7.2 - Solve Prob. 7.45 assuming that the 12-kip load has...Ch. 7.2 - Assuming the upward reaction of the ground on beam...Ch. 7.2 - Prob. 7.48PCh. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - Two small channel sections DF and EH have been...Ch. 7.2 - Solve Prob. 7.53 when = 60. PROBLEM 7.53 Two...Ch. 7.2 - For the structural member of Prob. 7.53, determine...Ch. 7.2 - For the beam of Prob. 7.43, determine (a) the...Ch. 7.2 - Determine (a) the distance a for which the maximum...Ch. 7.2 - For the beam and loading shown, determine (a) the...Ch. 7.2 - A uniform beam is to be picked up by crane cables...Ch. 7.2 - Knowing that P = Q = 150 lb, determine (a) the...Ch. 7.2 - Knowing that P = Q = 150 lb, determine (a) the...Ch. 7.2 - In order to reduce the bending moment in the...Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.29....Ch. 7.3 - Prob. 7.64PCh. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.31....Ch. 7.3 - Prob. 7.66PCh. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.33....Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.34....Ch. 7.3 - 7.69 and 7.70 For the beam and loading shown, (a)...Ch. 7.3 - 7.69 and 7.70 For the beam and loading shown, (a)...Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.39....Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.40....Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.41....Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.42....Ch. 7.3 - 7.75 and 7.76 For the beam and loading shown, (a)...Ch. 7.3 - Prob. 7.76PCh. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - (a) Draw the shear and bending-moment diagrams for...Ch. 7.3 - Solve Prob. 7.83 assuming that the 300-lb force...Ch. 7.3 - For the beam and loading shown, (a) write the...Ch. 7.3 - For the beam and loading shown, (a) write the...Ch. 7.3 - For the beam and loading shown, (a) write the...Ch. 7.3 - For the beam and loading shown, (a) write the...Ch. 7.3 - The beam AB supports the uniformly distributed...Ch. 7.3 - Solve Prob. 7.89 assuming that the uniformly...Ch. 7.3 - The beam AB is subjected to the uniformly...Ch. 7.3 - Prob. 7.92PCh. 7.4 - Three loads are suspended as shown from the cable...Ch. 7.4 - Knowing that the maximum tension in cable ABCDE is...Ch. 7.4 - If dA = 8 ft and dc = 10 ft, determine the...Ch. 7.4 - Prob. 7.96PCh. 7.4 - Knowing that dc = 5 m, determine (a) the distances...Ch. 7.4 - Prob. 7.98PCh. 7.4 - Knowing that dc = 9 ft, determine (a) the...Ch. 7.4 - Prob. 7.100PCh. 7.4 - Knowing that mB = 70 kg and mC = 25 kg, determine...Ch. 7.4 - Fig. P7.101 and P7.102 7.102 Knowing that mB = 18...Ch. 7.4 - Cable ABC supports two loads as shown. Knowing...Ch. 7.4 - Prob. 7.104PCh. 7.4 - If a = 3 m, determine the magnitudes of P and Q...Ch. 7.4 - If a = 4 m, determine the magnitudes of P and Q...Ch. 7.4 - An electric wire having a mass per unit length of...Ch. 7.4 - The total mass of cable ACB is 20 kg. Assuming...Ch. 7.4 - The center span of the George Washington Bridge,...Ch. 7.4 - The center span of the Verrazano-Narrows Bridge...Ch. 7.4 - Each cable of the Golden Gate Bridge supports a...Ch. 7.4 - Two cables of the same gauge are attached to a...Ch. 7.4 - A 76-m length of wire having a mass per unit...Ch. 7.4 - A cable of length L + is suspended between two...Ch. 7.4 - The total mass of cable AC is 25 kg. Assuming that...Ch. 7.4 - Cable ACB supports a load uniformly distributed...Ch. 7.4 - Each cable of the side spans of the Golden Gate...Ch. 7.4 - A steam pipe weighing 45 lb/ft that passes between...Ch. 7.4 - A cable AB of span L and a simple beam AB of the...Ch. 7.4 - Making use of the property established in Prob....Ch. 7.4 - 7.120 through 7.123 Making use of the property...Ch. 7.4 - 7.120 through 7.123 Making use of the property...Ch. 7.4 - Prob. 7.123PCh. 7.4 - Prob. 7.124PCh. 7.4 - Using the property indicated in Prob. 7.124,...Ch. 7.4 - If the weight per unit length of the cable AB is...Ch. 7.5 - A 25-ft chain with a weight of 30 lb is suspended...Ch. 7.5 - A 500-ft-long aerial tramway cable having a weight...Ch. 7.5 - A 40-m cable is strung as shown between two...Ch. 7.5 - A 50-m steel surveying tape has a mass of 1.6 kg....Ch. 7.5 - Prob. 7.131PCh. 7.5 - Prob. 7.132PCh. 7.5 - A 20-m length of wire having a mass per unit...Ch. 7.5 - Determine the sag of a 30-ft chain that is...Ch. 7.5 - Prob. 7.135PCh. 7.5 - Prob. 7.136PCh. 7.5 - A cable weighing 2 lb/ft is suspended between two...Ch. 7.5 - Prob. 7.138PCh. 7.5 - Prob. 7.139PCh. 7.5 - Fig. P7.139 and P7.140 7.140 A motor M is used to...Ch. 7.5 - Prob. 7.141PCh. 7.5 - Prob. 7.142PCh. 7.5 - Prob. 7.143PCh. 7.5 - Prob. 7.144PCh. 7.5 - To the left of point B, the long cable ABDE rests...Ch. 7.5 - Fig. P7.145 and P7.146 7.146 To the left of point...Ch. 7.5 - The 10-ft cable AB is attached to two collars as...Ch. 7.5 - Prob. 7.148PCh. 7.5 - Prob. 7.149PCh. 7.5 - (a) Determine the maximum allowable horizontal...Ch. 7.5 - A cable has a mass per unit length of 3 kg/m and...Ch. 7.5 - Determine the sag-to-span ratio for which the...Ch. 7.5 - Prob. 7.153PCh. 7 - Knowing that the turnbuckle has been tightened...Ch. 7 - Knowing that the turnbuckle has been tightened...Ch. 7 - Two members, each consisting of a straight and a...Ch. 7 - Knowing that the radius of each pulley is 150 mm,...Ch. 7 - For the beam shown, determine (a) the magnitude P...Ch. 7 - For the beam and loading shown, (a) draw the shear...Ch. 7 - For the beam and loading shown, (a) draw the shear...Ch. 7 - For the beam shown, draw the shear and...Ch. 7 - The beam AB, which lies on the ground, supports...Ch. 7 - Two loads are suspended as shown from the cable...Ch. 7 - A wire having a mass per unit length of 0.65 kg/m...Ch. 7 - A 10-ft rope is attached to two supports A and B...
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Extent of Reaction; Author: LearnChemE;https://www.youtube.com/watch?v=__stMf3OLP4;License: Standard Youtube License