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 2, Problem 2.50P
The magnitude of the force F is 55 lb. Calculate the moment of F about the x-axis using (a) the scalar method; and (b) the
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An elastic bar of the length L and cross section area A is rigidly attached
to the ceiling of a room, and it supports a mass M. Due to the
acceleration of gravity g the rod deforms vertically. The deformation of
the rod is measured by the vertical displacement u(x) governed by the
following equations:
dx
(σ(x)) + b(x) = 0
PDE
σ(x) = Edx
du
Hooke's law
(1)
b(x) = gp=
body force per unit volume
where E is the constant Young's modulus, p is the density, and σ(x) the
axial stress in the rod.
g
* I u(x)
L
2
An elastic bar of the length L and cross section area A is rigidly attached
to the ceiling of a room, and it supports a mass M. Due to the
acceleration of gravity g the rod deforms vertically. The deformation of
the rod is measured by the vertical displacement u(x) governed by the
following equations:
dx
(σ(x)) + b(x) = 0
PDE
σ(x) = Edx
du
Hooke's law
(1)
b(x) = gp=
body force per unit volume
where E is the constant Young's modulus, p is the density, and σ(x) the
axial stress in the rod.
g
* I u(x)
L
2
Chapter 2 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
Ch. 2 - Â Which of the force system shown are equivalent...Ch. 2 - Two men are trying to roll the boulder by applying...Ch. 2 - The magnitudes of the three forces applied to the...Ch. 2 - Replace the three forces by a single equivalent...Ch. 2 - Replace the three forces with a single equivalent...Ch. 2 - The forces P1=110lb,P2=200lb, and P3=150lb are...Ch. 2 - Determine the magnitudes of the three forces...Ch. 2 - The magnitudes of the three forces acting on the...Ch. 2 - Determine the three forces acting on the plate...Ch. 2 - The force R is the resultant of the forces P1,P2,...
Ch. 2 - Knowing that the resultant of the two forces is...Ch. 2 - Knowing that the forces P and Q are equivalent to...Ch. 2 - Three ropes support the weight at A. The tension...Ch. 2 - Find the forces Q1,Q2, and Q3 so that the two...Ch. 2 - The man exerts a force P of magnitude 40 1b on the...Ch. 2 - The three forces acting on the beam can be...Ch. 2 - The trapdoor is held in the horizontal plane by...Ch. 2 - Replace the three forces acting on the guy wires...Ch. 2 - The horizontal boom carries the weight W=108lb at...Ch. 2 - The three forces, each of magnitude F, are applied...Ch. 2 - Determine the resultant force R that is equivalent...Ch. 2 - Determine the magnitude and sense of the moment of...Ch. 2 - Find the magnitude and sense of the moment of the...Ch. 2 - Two forces of magnitude P each act on the beam....Ch. 2 - A force P in the xy-plane acts on the triangular...Ch. 2 - A force P in the xy-plane acts on the triangular...Ch. 2 - Determine the moment of the force F=9i+18jlb about...Ch. 2 - Given that T=43kN and W=38kN, determine the...Ch. 2 - A moment of 50lbft about O is required to loosen...Ch. 2 - Determine the moment of the force F about point A...Ch. 2 - The resultant of the two forces shown has a line...Ch. 2 - The tow truck's front wheels will be lifted off...Ch. 2 - The force F acts on the gripper of the robot arm....Ch. 2 - Given that the magnitude of the moment of P about...Ch. 2 - The magnitude of the force P is 160 N. Determine...Ch. 2 - The magnitude of the force Q Determine the moments...Ch. 2 - The magnitude of the moment of force P about point...Ch. 2 - The magnitude of the force P is 50 kN. Determine...Ch. 2 - Determine the combined moment of the two forces...Ch. 2 - Find the combined moment of the forces P and Q...Ch. 2 - The wrench is used to tighten a nut on the wheel....Ch. 2 - The magnitudes of the two forces shown are P=16lb...Ch. 2 - The moment of the force F=50i100j70klb about point...Ch. 2 - Determine the magnitude of the moment of the 150-N...Ch. 2 - The combined moment of the two forces, each of...Ch. 2 - The force F=2i12j+5klb acts along the line AB....Ch. 2 - Calculate the combined moment of the three forces...Ch. 2 - Determine the moment of the force F=40i+30j+20kkN...Ch. 2 - Determine the moment of the 400-lb force about...Ch. 2 - The magnitude of the force F is 55 lb. Calculate...Ch. 2 - The force F=18i12j+10kN is applied to the gripper...Ch. 2 - The legs of the tripod have equal lengths. The...Ch. 2 - Determine the moment of the force F=40i8j+5kN...Ch. 2 - To lift the table without tilting, the combined...Ch. 2 - The combined moment of the three forces is zero...Ch. 2 - The trap door is held open by the rope AB. If the...Ch. 2 - The forces P and Q act on the handles of the...Ch. 2 - The magnitude of the force P is 360 N. Determine...Ch. 2 - The combined moment of P and the 20-lb force about...Ch. 2 - Determine the magnitude of the force F given that...Ch. 2 - The force F of magnitude 200Â NÂ isÂ...Ch. 2 - Calculate the moment of the force P about the axis...Ch. 2 - The force systems in Figs. (a) and (b) have the...Ch. 2 - The force F=F(0.6i+0.8j)kN is applied to the frame...Ch. 2 - Determine the combined moment of the four forces...Ch. 2 - The flexible shaft AB of the wrench is bent into a...Ch. 2 - The magnitude of the force F is 180 lb. Find the...Ch. 2 - Which of the systems are equivalent to the couple...Ch. 2 - Which of the systems are equivalent to the couple...Ch. 2 - If the couple applied to the steering wheel is to...Ch. 2 - Determine the magnitude of the couple shown.Ch. 2 - Determine the couple-vector that is equivalent to...Ch. 2 - Calculate the combined moment of the couple C and...Ch. 2 - Determine the couple-vector that is equivalent to...Ch. 2 - The two forces of magnitude F=30kN form a couple....Ch. 2 - The couple acts on the handles of a steering...Ch. 2 - The force system acting on the plate is equivalent...Ch. 2 - A couple of magnitude 3601b ft is applied about...Ch. 2 - The arm ABCD of the industrial robot lies in a...Ch. 2 - The figure shows one-half of a universal coupling...Ch. 2 - The steering column of the rack-and-pinion...Ch. 2 - Which of the systems are equivalent to the...Ch. 2 - A 15-lb force acts at point A on the high-pressure...Ch. 2 - The bracket, which is fastened to a wall by anchor...Ch. 2 - Replace the three forces applied to the beam by an...Ch. 2 - Replace the two forces shown by a force-couple...Ch. 2 - The figure shows a schematic of a torsion-bar...Ch. 2 - Replace the 250-N force with an equivalent...Ch. 2 - The magnitude of the force F acting at point A on...Ch. 2 - Replace the force-couple system acting on the pipe...Ch. 2 - (a) Replace the force F=2800i+1600j+3000klb acting...Ch. 2 - Determine the force-couple system, with the force...Ch. 2 - Replace the force F and the couple C with an...Ch. 2 - The moment of the force P about the axis AB is...Ch. 2 - Replace the force and the couple shown with an...Ch. 2 - The tensions in the cables supporting the pole are...Ch. 2 - The force acting at A is F=10i+20j5kkN. Knowing...Ch. 2 - The magnitude of the moment of the force P about...Ch. 2 - Calculate the couple-vector formed by the two...Ch. 2 - The magnitudes of the force P and couple C are...Ch. 2 - The resultant force of the three cable tensions...Ch. 2 - The force-couple system shown is equivalent to the...Ch. 2 - Replace the two forces shown with an equivalent...Ch. 2 - The three forces of magnitude P can be replaced by...Ch. 2 - Knowing that the two forces shown can be replaced...Ch. 2 - The trapdoor is held in the position shown by two...Ch. 2 - The force system consists of the force...Ch. 2 - The force system shown can be replaced with a...
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