International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN: 9781305501607
Author: Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
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Textbook Question
Chapter 2, Problem 2.81P
The steering column of the rack-and-pinion steering
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Determine the couple-vector that is equivalent to thethree couples acting on the gear box, given that C1 = 200 lb.in, C2 = 140 lb.in, C3= 220 lb.in
Situation 6. Determine the resultant force R and its line of action for the following force-couple systems:
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(a) F = 300 N, F, = 0, and C = -300 N – m
(b) F = 200 N, F, = -200 N, and C = 800 N – m
(c) F = -600 N, F, = -400, and C = -0
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In a three-joint robot, L1=350mm, L2=250mm and L3=50mm. If x=300mm and Z=400mm and α=30° in two-dimensional space of the gripper, θ1, θ2Find the values of and θ3.
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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- The figure shows one-half of a universal coupling known as the Hooke's joint. The coupling is acted on by the three couples shown: (a) the input couple consisting of forces of magnitude P, (b) the output couple C0, and (c) the couple formed by bearing reactions of magnitude R. If the resultant of these couples is zero, compute R and C0 for P=750lb.arrow_forwardIf the couple applied to the steering wheel is to have the magnitude C=120lbin., determine F.arrow_forwardThe arm ABCD of the industrial robot lies in a vertical plane that is inclined at 40 to the yz-plane. The arm CD makes an angle of 30 with the vertical. A socket wrench attached at point D applies a 52-lb ft couple about the arm CD, directed as shown. (a) Find the couple-vector that represents the given couple. (b) Determine the moment of the couple about the z-axis.arrow_forward
- Determine the wrench that is equivalent to the force-couple system shown and find the coordinates of the point where the axis of the wrench crosses the xz-plane.arrow_forwardThe two forces of magnitude F=30kN form a couple. Determine the corresponding couple-vector.arrow_forwardThe force-couple system consists of the force R=250i+360j400kN and the couple-vector CR=1200i+750j+560kNm. Determine the equivalent wrench and find the coordinates of the point where the axis of the wrench crosses the xy-plane.arrow_forward
- A couple acts on the gear teeth as shown in the figure below. Replace it by an equivalent couple having a pair of forces that act through (a) points A and B.arrow_forwardin the design of a control mechanism, it is determined that Rod AB transmits a 260-newton force p to the crank bc . Determine the x and y scalar components of P.arrow_forwardFor the truss loaded as shown, determine the equation for the line of action of the stand-alone resultant R and state the coordinates of the points on the x- and y-axes through which the line of action passes. All triangles are 3-4-5. Assume F₁ = 20 kN, F₂ = 40 kN, F3 = 40 kN, F4 = 50 kN, and M = 120 kN-m. 6 m H C F₁ Answers: 8 m F₂ Equation of line: y = x-axis: x = i -1.04 y-axis: y = i 1.37 B ·x M D 1.32 F₁ F₂ E E X+ 1.37 Earrow_forward
- Article 2/8 Problems 81 2/119 The figure of Prob. 2/101 is ahown agin here. Ir the magnitude of the moment of F about line CD is 50 N-m, dotormine the magnitudo of F. 2/121 A 50-lb forse is applied to the control pedal as nhown. The force lies in a plane parallel to the re plane and is perpendieular to BC. Determine the mnments of this foren about point O and about the shaft GA. Ane F- 998 N Ans. M -90. - 09oj - 20sk Ib-in. Maa-690 Ib-in. 02 m 0.2 m A 0.2 m 04 m Problem 2/119 Representative Problems 2/120 Two 1.2-lb thrusters on the nonrotating satellite are aimultaneously firod an ehown. Compute the mo- ment aciated with this couple and state about which wtellite axes rotations will begin to accur. 50 lb Problem 2/121 2/122 A moment (torque M applied to the shat and at- tached arm causes a tension T of 120 lb applied to A by the restraining enble AB. Determine the mo- ment M, of the tension about point 0. 1.3 Ih 20 14" 60 1.2 Ib M T-120 lb 16 Problem 2/120 Problem 2/122arrow_forwardQ4/ SN 30 During a steady right turn, a person exerts the forces shown on the steering wheel. Determine the moment exerted about the steering at O, using scalar method only. 18 75 mmarrow_forwardDetermine the vector representation of the couple shown.arrow_forward
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