Engineering Mechanics: Statics

8th Edition

ISBN: 9781118807330

Author: James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher: WILEY

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Textbook Question

Chapter 2.3, Problem 2P

The force F has a magnitude of 7 kN and acts at the location indicated. Express F as a vector in terms of the unit

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The force F has a magnitude of 470 N. Express F as a vector in terms of the unit vectors i and j. Identify the x and y scalar components
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F = ( i
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Fy= i
0
F
i+
N
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j) N

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# Chapter 2 Solutions

Engineering Mechanics: Statics

Ch. 2.3 - The force F has a magnitude of 800 N. Express F as...Ch. 2.3 - The force F has a magnitude of 7 kN and acts at...Ch. 2.3 - The slope of the 6.5-kN force F is specified as...Ch. 2.3 - The force F has a magnitude of 1250 lb and has the...Ch. 2.3 - The control rod AP exerts a force F on the sector...Ch. 2.3 - Two forces are applied to the construction bracket...Ch. 2.3 - Two individuals are attempting to relocate a sofa...Ch. 2.3 - A small probe P is gently forced against the...Ch. 2.3 - The y-component of the force F which a person...Ch. 2.3 - Determine the x-y and n-t components of the 13-kip...

Ch. 2.3 - The two structural members, one of which is in...Ch. 2.3 - The guy cables AB and AC are attached to the top...Ch. 2.3 - If the equal tensions T in the pulley cable are...Ch. 2.3 - Two people exert the forces shown on the potted...Ch. 2.3 - A compressive force F is transmitted via the...Ch. 2.3 - A force F of magnitude 800 lb is applied to point...Ch. 2.3 - The two forces shown act in the x-y plane of the...Ch. 2.3 - Determine the x- and y-components of the tension T...Ch. 2.3 - Refer to the mechanism of the previous problem....Ch. 2.3 - Determine the magnitude Fs of the tensile spring...Ch. 2.3 - Determine the resultant R of the two forces...Ch. 2.3 - A sheet of an experimental composite is subjected...Ch. 2.3 - Determine the scalar components Ra and Rb of the...Ch. 2.3 - Determine the components Fa and Fb of the 4-kN...Ch. 2.3 - If the projection Pa and component Fb of the force...Ch. 2.3 - It is desired to remove the spike from the timber...Ch. 2.3 - At what angle must the 800-lb force be applied in...Ch. 2.3 - Power is to be transferred from the pinion A to...Ch. 2.3 - To insert the small cylindrical part into a...Ch. 2.3 - The unstretched length of the spring is r. When...Ch. 2.4 - Determine the moments of the 5-kN force about...Ch. 2.4 - The force of magnitude F acts along the edge of...Ch. 2.4 - The rectangular plate is made up of 1-ft squares...Ch. 2.4 - Calculate the moment of the 250-N force on the...Ch. 2.4 - An experimental device imparts a force of...Ch. 2.4 - A force F of magnitude 60 N is applied to the...Ch. 2.4 - A man uses a crowbar to lift the corner of a hot...Ch. 2.4 - An overhead view of a door is shown. If the...Ch. 2.4 - The 30-N force P is applied perpendicular to the...Ch. 2.4 - A man exerts a force F on the handle of the...Ch. 2.4 - A 32-lb pull T is applied to a cord, which is...Ch. 2.4 - As a trailer is towed in the forward direction,...Ch. 2.4 - Determine the general expressions for the moments...Ch. 2.4 - The mechanism of Prob. 2/15 is repeated here....Ch. 2.4 - Determine the moments of the tension T about point...Ch. 2.4 - In raising the pole from the position shown, the...Ch. 2.4 - The lower lumbar region A of the spine is the part...Ch. 2.4 - A gate is held in the position shown by cable AB....Ch. 2.4 - In order to raise the flagpole OC, a light frame...Ch. 2.4 - Elements of the lower arm are shown in the figure....Ch. 2.4 - As the result of a wind blowing normal to the...Ch. 2.4 - The masthead fitting supports the two forces...Ch. 2.4 - The small crane is mounted along the side of a...Ch. 2.4 - The 120-N force is applied as shown to one end of...Ch. 2.4 - The bent cantilever beam is acted upon by an 8-kN...Ch. 2.4 - The mechanism shown is used to lower disabled...Ch. 2.4 - The asymmetrical support arrangement is chosen for...Ch. 2.4 - The woman maintains a slow steady motion over the...Ch. 2.5 - The caster unit is subjected to the pair of 80-lb...Ch. 2.5 - For F=65lb, compute the combined moment of the two...Ch. 2.5 - The indicated forceâ€”couple system is applied to...Ch. 2.5 - Replace the 3.2-kN force by an equivalent...Ch. 2.5 - As part of a test, the two aircraft engines are...Ch. 2.5 - The cantilevered W530150 beam shown is subjected...Ch. 2.5 - Each propeller of the twin-screw ship develops a...Ch. 2.5 - The upper hinge A of the uniform cabinet door has...Ch. 2.5 - A lug wrench is used to tighten a square-head...Ch. 2.5 - The force F is applied at the end of arm ACD,...Ch. 2.5 - A force F of magnitude 50 N is exerted on the...Ch. 2.5 - An overhead view of a portion of an exercise...Ch. 2.5 - The tie-rod AB exerts the 250-N force on the...Ch. 2.5 - The 20-N force F is applied to the handle of the...Ch. 2.5 - An overhead view of the handlebars on an...Ch. 2.5 - The force F is applied to the leg-extension...Ch. 2.5 - The system consisting of the bar OA, two identical...Ch. 2.5 - The device shown is a part of an automobile seat-...Ch. 2.5 - Replace the two cable tensions which act on the...Ch. 2.5 - The force F acts along line MA, where M is the...Ch. 2.6 - Determine the resultant R of the three tension...Ch. 2.6 - Determine the force magnitude F and direction ...Ch. 2.6 - Replace the three horizontal forces and applied...Ch. 2.6 - Determine the equivalent force-couple system at...Ch. 2.6 - Determine the equivalent force-couple system at O...Ch. 2.6 - Determine the height h above the base B at which...Ch. 2.6 - Where does the resultant of the two forces act?Ch. 2.6 - If the resultant of the loads shown passes through...Ch. 2.6 - If the resultant of the two forces and couple M...Ch. 2.6 - If the resultant of the forces shown passes...Ch. 2.6 - Replace the three forces acting on the bent pipe...Ch. 2.6 - Four people are attempting to move a stage...Ch. 2.6 - Replace the three forces which act on the bent bar...Ch. 2.6 - Uneven terrain conditions cause the left front...Ch. 2.6 - A commercial airliner with four jet engines, each...Ch. 2.6 - Determine the x- and y-axis intercepts of the line...Ch. 2.6 - Replace the three cable tensions acting on the...Ch. 2.6 - Determine the resultant R of the three forces...Ch. 2.6 - For the truss loaded as shown, determine the...Ch. 2.6 - Five forces are applied to the beam trolley as...Ch. 2.6 - As part of a design test, the camshaft-drive...Ch. 2.6 - An exhaust system for a pickup truck is shown in...Ch. 2.7 - Express F as a vector in terms of the unit vectors...Ch. 2.7 - Cable AB exerts a force of magnitude F=6kN on...Ch. 2.7 - Express the 5-kN force F as a vector in terms of...Ch. 2.7 - The force F has a magnitude of 300 1b and acts...Ch. 2.7 - If the tension in the gantry-crane hoisting cable...Ch. 2.7 - The turnbuckle is tightened until the tension in...Ch. 2.7 - If the tension in cable AB is 1750 lb, determine...Ch. 2.7 - The tension in the supporting cable AB is T=425N....Ch. 2.7 - The force F has a magnitude of 2 kN and is...Ch. 2.7 - The tension in the supporting cable AB is 10 kN....Ch. 2.7 - If the tension in cable CD is T=675lb, determine...Ch. 2.7 - If the tension in cable DE is T=575N, determine...Ch. 2.7 - Determine the angle between the 200-lb force and...Ch. 2.7 - Compression member AB is used to hold up the...Ch. 2.7 - Determine a general expression for the scalar...Ch. 2.7 - If the scalar projection of F onto line OA is O,...Ch. 2.7 - The rectangular plate is supported by hinges along...Ch. 2.7 - Express the force F in terms of the unit vectors...Ch. 2.7 - A force F is applied to the surface of the sphere...Ch. 2.7 - Determine the x-, y-, and z-components of force F...Ch. 2.8 - Determine the moment of force F about point O.Ch. 2.8 - Determine the moment of force F about point A.Ch. 2.8 - Determine the moment about O of the force of...Ch. 2.8 - The 4-lb force is applied at point A of the crank...Ch. 2.8 - The steel H-beam is being designed as a column to...Ch. 2.8 - Determine the moment associated with the pair of...Ch. 2.8 - The turnbuckle is tightened until the tension in...Ch. 2.8 - The system of Prob. 2/111 is repeated here, and...Ch. 2.8 - The two forces acting on the handles of the pipe...Ch. 2.8 - The gantry crane of Prob. 2/105 is repeated here,...Ch. 2.8 - Determine the combined moment made by the two...Ch. 2.8 - A helicopter is shown here with certain...Ch. 2.8 - The system of Prob. 2/108 is repeated here, and...Ch. 2.8 - The structure shown is constructed of circular rod...Ch. 2.8 - Two 1.2-lb thrusters on the nonrotating satellite...Ch. 2.8 - If the tension in cable DE is 575 N, determine the...Ch. 2.8 - Determine the moment of each individual force...Ch. 2.8 - The system of Prob. 2/107 is repeated here, and...Ch. 2.8 - A space shuttle orbiter is subjected to thrusts...Ch. 2.8 - The specialty wrench shown in the figure is...Ch. 2.8 - The 75-N force acts perpendicular to the bent...Ch. 2.8 - The body is composed of a slender uniform rod bent...Ch. 2.8 - If F1=450N and the magnitude of the moment of both...Ch. 2.8 - A 1.8-lb vertical force is applied to the knob of...Ch. 2.8 - A basketball player applies a force F=65lb to the...Ch. 2.8 - The special-purpose milling cutter is subjected to...Ch. 2.8 - The force F acts along an element of the right...Ch. 2.8 - The spring of k and unstretched length 1.5R is...Ch. 2.9 - Three forces act at point O. If it is known that...Ch. 2.9 - Three equal forces are exerted on the equilateral...Ch. 2.9 - The thin rectangular plate is subjected to the...Ch. 2.9 - An oil tanker moves away from its docked position...Ch. 2.9 - Determine the x- and y-coordinates of a point...Ch. 2.9 - The two forces and one couple act on the elements...Ch. 2.9 - Represent the resultant of the force system acting...Ch. 2.9 - Determine the force-couple system at O which is...Ch. 2.9 - The portion of a bridge truss is subjected to...Ch. 2.9 - The pulley and gear are subjected to the loads...Ch. 2.9 - The commercial airliner of Prob. 2/93 is redrawn...Ch. 2.9 - Replace the three forces acting on the rectangular...Ch. 2.9 - While cutting a piece of paper, a person exerts...Ch. 2.9 - The floor exerts the four indicated forces on the...Ch. 2.9 - Replace the three forces acting on the structural...Ch. 2.9 - Replace the two forces and one couple acting on...Ch. 2.9 - Replace the two forces acting on the pole by a...Ch. 2.9 - For the system of Prob. 2154, write the moment M...Ch. 2.9 - Replace the two forces which act on the...Ch. 2.9 - For the system of forces in Prob. 2/167, determine...Ch. 2.10 - Using the principles of equilibrium to be...Ch. 2.10 - The three forces act perpendicular to the...Ch. 2.10 - A die is being used to cut threads on a rod. If...Ch. 2.10 - The blades of the portable fan generate a 1.2-lb...Ch. 2.10 - Determine the moment of the force P about point A.Ch. 2.10 - The directions of rotation of the input shaft A...Ch. 2.10 - The control lever is subjected to a clockwise...Ch. 2.10 - For the angular position =60 of the crank OA, the...Ch. 2.10 - Calculate the moment MO of the 250-N force about...Ch. 2.10 - During a drilling operation, the small robotic...Ch. 2.10 - Reduce the given loading system to a force-couple...Ch. 2.10 - The 300500700-mm column is subjected to the...Ch. 2.10 - When the pole OA is in the position shown, the...Ch. 2.10 - The combined action of the three forces on the...Ch. 2.10 - Four forces are exerted on the eyebolt as shown....Ch. 2.10 - The force F is directed from A toward D and D is...Ch. 2.10 - With the 300-lb cylindrical part P in its grip,...Ch. 2.10 - A flagpole with attached light triangular frame is...Ch. 2.10 - Plot the magnitude of the resultant R of the three...Ch. 2.10 - For the previous problem, determine the...Ch. 2.10 - The throttle-control lever OA rotates in the range...Ch. 2.10 - For the rectangular parallelepiped shown, develop...Ch. 2.10 - Consider the rectangular parallelepiped of Prob....Ch. 2.10 - A motor attached to the shaft at O causes the arm...

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- The three forces of magnitude P can be replaced by a single, equivalent force R acting at point A. Determine the distance x and the magnitude and direction of R.
*arrow_forward*The pole OB is subjected to the 6004b force at B. Determine (a) the rectangular components of the force; and (b) the angles between the force vector and the coordinate axes.*arrow_forward*Determine the value of the scalar a if the following three vectors are to lie in the same plane: A=2i-j+2km,B=6i+3j+akm, and C=16i+46j+7km.*arrow_forward* - Determine the moment of the force F about point A in terms of F and d. Use (a) the scalar method; and (b) the vector method.
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*arrow_forward*the x-component of the force is*arrow_forward*The force F has a magnitude of 350 lb and acts along the diagonal of the parallelepiped as shown. Express F in terms of its magnitude times the appropriate unit vector and determine its x-, y-, and z-components.*arrow_forward*

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