1 Introduction To Statics 2 Basic Operations With Force Systems 3 Resultants Of Force Systems 4 Coplanar Equilibrium Analysis 5 Three-dimensional Equilibrium 6 Beams And Cables 7 Dry Friction 8 Centroids And Distributed Loads 9 Moments And Products Of Inertia Of Areas 10 Virtual Work And Potential Energy Chapter2: Basic Operations With Force Systems
Chapter Questions Section: Chapter Questions
Problem 2.1P:  Which of the force system shown are equivalent to the 500-N force in (a)? Problem 2.2P: Two men are trying to roll the boulder by applying the forces shown. Determine the magnitude and... Problem 2.3P: The magnitudes of the three forces applied to the eye bolt are T1=110lb,T2=40lb, and T3=150lb.... Problem 2.4P: Replace the three forces by a single equivalent force R. Express your answer in vector form. Problem 2.5P: Replace the three forces with a single equivalent force R acting at A. Use F1=80N,F2=60N, and... Problem 2.6P: The forces P1=110lb,P2=200lb, and P3=150lb are equivalent to a single force R. Determine (a) the... Problem 2.7P: Determine the magnitudes of the three forces P1,P2, and P3, given that they are equivalent to the... Problem 2.8P: The magnitudes of the three forces acting on the plate are T1=90kN,T2=60kN, and T3=40kN. Replace... Problem 2.9P: Determine the three forces acting on the plate that are equivalent to the force R - 210k kN. Problem 2.10P: The force R is the resultant of the forces P1,P2, and P3 acting on the rectangular plate. Find P1... Problem 2.11P: Knowing that the resultant of the two forces is directed along AB, determine F2. Problem 2.12P: Knowing that the forces P and Q are equivalent to a single force R that passes through point A,... Problem 2.13P: Three ropes support the weight at A. The tension in ropes AB and AC is 15 lb. Determine the tension... Problem 2.14P: Find the forces Q1,Q2, and Q3 so that the two forces systems are equivalent. Problem 2.15P: The man exerts a force P of magnitude 40 1b on the handles of the wheel-barrow. Knowing that the... Problem 2.16P: The three forces acting on the beam can be replaced with a single equivalent force R. Determine the... Problem 2.17P: The trapdoor is held in the horizontal plane by two wires. Replace the forces in the wires with an... Problem 2.18P: Replace the three forces acting on the guy wires by a single, equivalent force acting on the... Problem 2.19P: The horizontal boom carries the weight W=108lb at A. The boom is supported by the cables AB and AC.... Problem 2.20P: The three forces, each of magnitude F, are applied to the crate. Determine F so that the three... Problem 2.21P: Determine the resultant force R that is equivalent to the forces exerted by the three tugboats as... Problem 2.22P: Determine the magnitude and sense of the moment of the 800-N force about point A. Problem 2.23P: Find the magnitude and sense of the moment of the 60-lb force about points A and B. Problem 2.24P: Two forces of magnitude P each act on the beam. Determine the angle for which the combined moment... Problem 2.25P: A force P in the xy-plane acts on the triangular plate. The moments of P about points O, A, and B... Problem 2.26P: A force P in the xy-plane acts on the triangular plate. The moments of P about points O, A, and B... Problem 2.27P: Determine the moment of the force F=9i+18jlb about point O by the following methods: (a) vector... Problem 2.28P: Given that T=43kN and W=38kN, determine the magnitude and sense of the moments about point B of the... Problem 2.29P: A moment of 50lbft about O is required to loosen the nut. Determine the smallest magnitude of the... Problem 2.30P: Determine the moment of the force F about point A in terms of F and d. Use (a) the scalar method;... Problem 2.31P: The resultant of the two forces shown has a line of action that passes through point A. Recognizing... Problem 2.32P: The tow truck's front wheels will be lifted off the ground if the moment of the load W about the... Problem 2.33P: The force F acts on the gripper of the robot arm. The moments of F about points A and B are 310Nm... Problem 2.34P: Given that the magnitude of the moment of P about point A is 15Nm, determine P. Problem 2.35P: The magnitude of the force P is 160 N. Determine the moments of P about (a) point O; and (b) point... Problem 2.36P: The magnitude of the force Q Determine the moments of Q about (a) point O; and (b) point C. Problem 2.37P: The magnitude of the moment of force P about point O is 350kNm. Determine the magnitude of P. Problem 2.38P: The magnitude of the force P is 50 kN. Determine the moment of P about (a) point A; and (b) point B. Problem 2.39P: Determine the combined moment of the two forces about point O. The magnitudes of the forces are... Problem 2.40P: Find the combined moment of the forces P and Q about point O. The magnitudes of the forces are... Problem 2.41P: The wrench is used to tighten a nut on the wheel. Determine the moment of the 120-lb force about the... Problem 2.42P: The magnitudes of the two forces shown are P=16lb and Q=22lb. Determine the magnitude of the... Problem 2.43P: The moment of the force F=50i100j70klb about point O is MO=400i+410j300klbft. Determine the... Problem 2.44P: Determine the magnitude of the moment of the 150-N force about point O. Also find the perpendicular... Problem 2.45P: The combined moment of the two forces, each of magnitude P, about point A is zero. Determine the... Problem 2.46P: The force F=2i12j+5klb acts along the line AB. Recognizing that the moment of F about point B is... Problem 2.47P: Calculate the combined moment of the three forces about each of the coordinate axes. Use (a) the... Problem 2.48P: Determine the moment of the force F=40i+30j+20kkN about the axis OA using (a) the scalar method; and... Problem 2.49P: Determine the moment of the 400-lb force about each of the following axes: (a) AB; (b) CD; (c) BF;... Problem 2.50P: The magnitude of the force F is 55 lb. Calculate the moment of F about the x-axis using (a) the... Problem 2.51P: The force F=18i12j+10kN is applied to the gripper of the holding device shown. Determine the moment... Problem 2.52P: The legs of the tripod have equal lengths. The base OBC is an isosceles triangle. Determine the... Problem 2.53P: Determine the moment of the force F=40i8j+5kN about the y-axis. Problem 2.54P: To lift the table without tilting, the combined moment of the four parallel forces must be zero... Problem 2.55P: The combined moment of the three forces is zero about the axis a-a and the axis b-b. Determine the... Problem 2.56P: The trap door is held open by the rope AB. If the tension in the rope is T = 60 lb, determine its... Problem 2.57P: The forces P and Q act on the handles of the wrench. If P = 321b and Q = 36 lb, determine the... Problem 2.58P: The magnitude of the force P is 360 N. Determine the moment of P about the axis CD. Express the... Problem 2.59P: The combined moment of P and the 20-lb force about the axis GB is zero. Determine the magnitude of... Problem 2.60P: Determine the magnitude of the force F given that its moment about the axis BC is 150lbft. Problem 2.61P: The force F of magnitude 200 N is perpendicular to the plane ABC. Determine the magnitude of... Problem 2.62P: Calculate the moment of the force P about the axis AD using (a) point A as the moment center; and... Problem 2.63P: The force systems in Figs. (a) and (b) have the same moment about the x- and y-axis. Determine the... Problem 2.64P: The force F=F(0.6i+0.8j)kN is applied to the frame at the point D(0,0,zD). If the moment of F about... Problem 2.65P: Determine the combined moment of the four forces acting on the pulleys about the axis AB (points A... Problem 2.66P: The flexible shaft AB of the wrench is bent into a horizontal arc with a radius of 24 in. The two... Problem 2.67P: The magnitude of the force F is 180 lb. Find the moment of F about the axis AB using (a) the vector... Problem 2.68P: Which of the systems are equivalent to the couple in (a)? Problem 2.69P: Which of the systems are equivalent to the couple in (a)? Problem 2.70P: If the couple applied to the steering wheel is to have the magnitude C=120lbin., determine F. Problem 2.71P: Determine the magnitude of the couple shown. Problem 2.72P: Determine the couple-vector that is equivalent to the two couples shown. Problem 2.73P: Calculate the combined moment of the couple C and the force P about the axis AB. Use C=60Nm and... Problem 2.74P: Determine the couple-vector that is equivalent to the three couples acting on the gearbox, given... Problem 2.75P: The two forces of magnitude F=30kN form a couple. Determine the corresponding couple-vector. Problem 2.76P: The couple acts on the handles of a steering mechanism. In the position shown, the moment applied by... Problem 2.77P: The force system acting on the plate is equivalent to a single couple C. Determine. Problem 2.78P: A couple of magnitude 3601b ft is applied about portion AB of the drive shaft (the drive shaft is... Problem 2.79P: The arm ABCD of the industrial robot lies in a vertical plane that is inclined at 40 to the... Problem 2.80P: The figure shows one-half of a universal coupling known as the Hooke's joint. The coupling is acted... Problem 2.81P: The steering column of the rack-and-pinion steering mechanism lies in the xz-plane. The tube AB of... Problem 2.82P: Which of the systems are equivalent to the force-couple system in (a)? Problem 2.83P: A 15-lb force acts at point A on the high-pressure water cock. Replace this force with (a) a force... Problem 2.84P: The bracket, which is fastened to a wall by anchor bolts at A and B, is loaded by the force P=140N... Problem 2.85P: Replace the three forces applied to the beam by an equivalent force-couple system with the force... Problem 2.86P: Replace the two forces shown by a force-couple system with the force acting at O. Problem 2.87P: The figure shows a schematic of a torsion-bar suspension for an automobile (the torsion bar appears... Problem 2.88P: Replace the 250-N force with an equivalent force-couple system with the force acting at point O.... Problem 2.89P: The magnitude of the force F acting at point A on the plate is 270 kN. Determine the equivalent... Problem 2.90P: Replace the force-couple system acting on the pipe with an equivalent force-couple system with the... Problem 2.91P: (a) Replace the force F=2800i+1600j+3000klb acting at end A of the crank handle with a force R... Problem 2.92P: Determine the force-couple system, with the force acting at point O, that is equivalent to the force... Problem 2.93P: Replace the force F and the couple C with an equivalent force-couple system with the force acting at... Problem 2.94RP: The moment of the force P about the axis AB is 850lbft. Determine the magnitude of P. Problem 2.95RP: Replace the force and the couple shown with an equivalent force-couple system where the force acts... Problem 2.96RP: The tensions in the cables supporting the pole are T1=T2=T3=60kN. Replace the cable tensions with an... Problem 2.97RP: The force acting at A is F=10i+20j5kkN. Knowing that the moment of this force about the y-axis is... Problem 2.98RP: The magnitude of the moment of the force P about the axis CD is 50lbin. Find the magnitude of P. Problem 2.99RP: Calculate the couple-vector formed by the two forces, given that F=160i120j+90kN. Problem 2.100RP: The magnitudes of the force P and couple C are 800lb and 1400lbft, respectively. Calculate the... Problem 2.101RP: The resultant force of the three cable tensions that support the crate is R=750jlb. Find T1 and T3,... Problem 2.102RP: The force-couple system shown is equivalent to the force F acting at point A (no couple). Given that... Problem 2.103RP: Replace the two forces shown with an equivalent force-couple system with the force acting at point... Problem 2.104RP: The three forces of magnitude P can be replaced by a single, equivalent force R acting at point A.... Problem 2.105RP: Knowing that the two forces shown can be replaced by an equivalent force acting at O (no couple),... Problem 2.106RP: The trapdoor is held in the position shown by two cables. The tensions in the cables are T1=30lb and... Problem 2.107RP: The force system consists of the force P=400i+300j+250klb and the couple C. Determine the magnitude... Problem 2.108RP: The force system shown can be replaced with a single, equivalent couple CR. Determine CR. Problem 2.79P: The arm ABCD of the industrial robot lies in a vertical plane that is inclined at 40 to the...
Related questions
Express each result of Parts 1-5 in the form of a Cartesian vector. Part 4 requires the specification of 2 cartesian vectors : a force and a moment vector.
Transcribed Image Text: 1. Determine the unit vector Ken in the
pointe touuds point D.
(which is theI direction of the Force Fof the
figue,
direction From
|2. Determine the Moment Mo of ihe
the force F about the point De
3, Determine the moment MA of
the force Ē about the point A.
А.
4. Give the Force- Couple system khrch
acts at point A which is equiaknt
to the fobce F given in the fiqure.
5. Determine the unit vector Toe in
the divection from point A towalds.
point B.
AB
6. Deteumine the moment Maa (as a scalu)
which acts about the AB axis (i.e.,
the line fromm point A touaud B) die to
the force Fo
'AB
Transcribed Image Text: z tK
0,6 m
0.3 m
3o sa
D
y
0.4 m
F= 700 N
-0.2 m-
X'
Note: Poin ts Cand D lie on the line
of action of the Force F.
Coordinates: (x, g,2)
Point A: (0,0,0)
Point B: (0.4, 0,2,0).
Point C: (oo6, O,0,3)
Point Di
• meters
(0, 0.2, 0)
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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