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 2.57P: The forces P and Q act on the handles of the wrench. If P = 321b and Q = 36 lb, determine the...
Related questions
The magnitude of the two forces shown are P = 80 N and Q = 110 N. Determine the magnitude of the combined moment of P and Q about point O and the direction cosines of this moment vector .
Transcribed Image Text: 9. The magnitude of the two forces shown are P = 80 N
and Q = 110 N. Determine the magnitude of the
combined moment of P and Q about point O and the
Q
direction cosines of this moment vector.
240 mm
40°
90 mm
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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