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engineering
civil engineering
Engineering Mechanics Statics 12th Edition R. C. Hibbeler - Solutions
If the resultant force acting on the bracket is required to be a minimum, determine the magnitudes of F1 and the resultant force. Set ? = 30?.
If F2 = 150 lb and ? = 55, determine the magnitude and direction measured clockwise from the positive x axis of the resultant force of the three forces acting on the bracket.
Determine the magnitude of force F so that the resultant force of the three forces is as small as possible. What is the magnitude of this smallest resultantforce?
Determine the coordinate angle ? for F2 and then express each force acting on the bracket as a Cartesian vector.
Determine the magnitude and coordinate direction angles of the resultant force acting on thebracket.
Express each force acting on the pipe assembly in Cartesian vectorform.
Determine the magnitude and direction of the resultant force acting on the pipeassembly.
The force F acts on the bracket within the octant shown. If F = 400 N ? = 60?, and ?, determine the x, y, z components of F.
The force F acts on the bracket within the octant shown. If the magnitudes of the x and z components of F are Fx = 300 N and Fz?= 600 N, respectively and ? = 60o, determine the magnitude of F and its y component. Also, find the coordinate direction angles ? and ?.?
Determine the coordinate direction angles of the force F1 and indicate them on thefigure.
The spur gear is subjected to the two forces caused by contact with other gears. Express each force as a Cartesianvector.
The spur gear is subjected to the two forces caused by contact with other gears. Determine the resultant of the two forces and express the result as a Cartesianvector.
If the resultant force acting on the bracket is FR = {? 300i + 650j + 250k} N, determine the magnitude and coordinate direction angles of F.
If the resultant force acting on the bracket is to be FR = {800j} N, determine the magnitude and coordinate direction angles ofF.
If a = 120?, ?
If the resultant force acting on the hook is FR = {? 200i + 800j + 150k} lb, determine the magnitude and coordinate direction angles of F.
The shaft S exerts three force components on the die D. Find the magnitude and coordinate direction angles of the resultant force. Force F2 acts within the octantshown
The mast is subjected to the three forces shown. Determine the coordinate direction angles ?1, ?1, ?1 of F1 so that the resultant force acting on the mast is FR = {350i} N.
The mast is subjected to the three forces shown. Determine the coordinate direction angles ?1, ?1, ?1 of F1 so that the resultant force acting on the mast is zero.
Determine the magnitude and coordinate direction angles of F2 so that the resultant of the two forces acts along the positive x axis and has a magnitude of 500N.
Determine the magnitude and coordinate direction angles of F2 so that the resultant of the two forces iszero.
If the resultant force acting on the bracket is directed along the positive y axis, determine the magnitude of the resultant force and the coordinate direction angles of F so that ?
Specify the magnitude of F3 and its coordinate direction angles ?3, ?3, ?3 so that the resultant force FR = {9j} kN.
If F3 = 9 kN, ? = 30?, and ? = 45?, determine the magnitude and coordinate direction angles of the resultant force acting on the ball-and-socket joint.
The pole is subjected to the force F which has components Fx = 1.5 kN and Fz = 1.25 kN .If ? = 75o, determine the magnitudes of F and Fy.
Three forces act on the ring. If the resultant force FR has a magnitude and direction as shown, determine the magnitude and the coordinate direction angles of forceF3.
Determine the coordinate direction angles of F1 andFR.
Two forces F1 and F2 act on the bolt. If the resultant force FR has a magnitude of 50 lb and coordinate direction angles ? = 110? and ? = 80?, as shown, determine the magnitude of F2 and its coordinate direction angles.
Determine the position vector r directed from point A to point B and the length of cord AB. Take z = 4m.
If the cord AB is 7.5 m long, determine the coordinate position +z of pointB
Determine the distance between the end points A and B on the wire by first formulating a position vector from A to B and then determining itsmagnitude.
Determine the magnitude and coordinate direction angles of the resultant force acting atA.
Determine the magnitude and coordinate direction angles of the resultantforce.
Determine the magnitude and coordinate direction angles of the resultantforce.
The chandelier is supported by three chains which are concurrent at point O. If the force in each chain has a magnitude of 60 lb, express each force as a Cartesian vector and determine the magnitude and coordinate direction angles of the resultantforce.
The chandelier is supported by three chains which are concurrent at point O. If the resultant force at O has a magnitude of 130 lb and is directed along the negative z axis, determine the force in eachchain.
Express force F as a Cartesian vector; then determine its coordinate directionangles.
The tower is held in place by three cables. If the force of each cable acting on the tower is shown, determine the magnitude and coordinate direction angles ?, ?, ? of the resultant force. Take x = 20 m, y = 15 m.
The door is held opened by means of two chains. If the tension in AB and CD is FA = 300 N and, FC = 250 N, respectively, express each of these forces in Cartesian vectorform.
The guy wires are used to support the telephone pole. Represent the force in each wire in Cartesian vector form. Neglect the diameter of thepole.
Two cables are used to secure the overhang boom in position and support the 1500-N load. If the resultant force is directed along the boom from point A towards O, determine the magnitudes of the resultant force and forces FB and FC. Set x = 3 m and z = 2m.
Two cables are used to secure the overhang boom in position and support the 1500-N load. If the resultant force is directed along the boom from point A towards O, determine the values of x and z for the coordinates of point C and the magnitude of the resultant force. Set FB = 1610 N and FC = 2400N.
The cable AO exerts a force on the top of the pole of F = {?120i ? 90j ? 80k} lb. If the cable has a length of 34 ft, determine the height z of the pole and the location (x, y) of its base.
If the force in each chain has a magnitude of 450 lb, determine the magnitude and coordinate direction angles of the resultantforce.
If the resultant of the three forces is FR = {?900k} lb, determine the magnitude of the force in each chain.
The antenna tower is supported by three cables. If the forces of these cables acting on the antenna are FB = 520 N, FC = 680 N, and FD = 560 N, determine the magnitude and coordinate direction angles of the resultant force acting at A.
If the force in each cable tied to the bin is 70 lb, determine the magnitude and coordinate direction angles of the resultant force.
If the resultant of the four forces is FR = {?360k} lb, determine the tension developed in each cable. Due to symmetry, the tension in the four cables is the same.
The pipe is supported at its end by a cord AB. If the cord exerts a force of F = 12 lb on the pipe at A, express this force as a Cartesianvector.
The load at A creates a force of 200 N in wire AB. Express this force as a Cartesian vector, acting on A and directed towardsB.
The cylindrical plate is subjected to the three cable forces which are concurrent at point D. Express each force which the cables exert on the plate as a Cartesian vector, and determine the magnitude and coordinate direction angles of the resultantforce.
The cable attached to the shear-leg derrick exerts a force on the derrick of F = 350 lb. Express this force as a Cartesianvector.
Determine the projected component of the force FAB = 560 N acting along cable AC. Express the result as a Cartesianvector.
Determine the magnitudes of the components of force F = 56 N acting along and perpendicular to lineAO.
Determine the length of side BC of the triangular plate. Solve the problem by finding the magnitude of rBC; then check the result by first finding ?, rAB, and rAC and then using the cosine law.
Determine the magnitudes of the components of F = 600 N acting along and perpendicular to segment DE of the pipe assembly.
Two forces act on the hook. Determine the angle ? between them. Also, what are the projections of F1 and F2?along the y axis?
Two forces act on the hook. Determine the magnitude of the projection of F2 alongF1.
Determine the projection of F = 80 N force along line BC. Express the result as a Cartesianvector.
The clamp is used on a jig. If the vertical force acting on the bolt is F = {?500k} N, determine the magnitudes of its components F1 and F2 which act along the OA axis and perpendicular to it.
Determine the magnitude of the projected component of force FAB acting along the zaxis.
Determine the magnitude of the projected component of force FAC acting along the zaxis.
Determine the projection of force F = 400 N acting along line AC of the pipe assembly. Express the result as a Cartesianvector.
Determine the magnitudes of the components of force F = 400 N acting parallel and perpendicular to segment BC of the pipe assembly.
Determine the angle ? between the two cables attached to the post.
If F has a magnitude of 55 lb, determine the magnitude of its projected components acting along the x axis and along cableAC.
Determine the magnitudes of the projected components of the force F = 300 N acting along the x and yaxes.
Determine the magnitude of the projected component of the force F = 300 N acting along lineOA.
Determine the design angle ? (?
Determine the magnitude and direction of the smallest force F3 so that the resultant force of all three forces has a magnitude of 20lb.
Resolve the 250-N force into components acting along the u and ? axes and determine the magnitudes of these components.
Cable AB exerts a force of 80 N on the end of the 3-m-long boom OA. Determine the magnitude of the projection of this force along theboom.
The three supporting cables exert the forces shown on the sign. Represent each force as a Cartesianvector.
Determine the force in each cord for equilibrium of the 200-kg crate. Cord BC remains horizontal due to the roller at C, and AB has a length of 1.5 m. Set y = 0.75m.
If the 1.5-m-long cord AB can withstand a maximum force of 3500 N, determine the force in cord BC and the distance y so that the 200-kg crate can be supported.
If the mass of the girder is 3 Mg and its center of mass is located at point G, determine the tension developed in cables AB, BC, and BD forequilibrium.
If cables BD and BC can withstand a maximum tensile force of 20 kN, determine the maximum mass of the girder that can be suspended from cable so that neither cable AB will fail. The center of mass of the girder is located at pointG.
The members of a truss are connected to the gusset plate. If the forces are concurrent at point O, determine the magnitudes of F and T for equilibrium. Take ? = 30?.
The gusset plate is subjected to the forces of four members. Determine the force in member B and its proper orientation ? for equilibrium. The forces are concurrent at point O. Take F = 12 kN.
The towing pendant AB is subjected to the force of 50 kN exerted by a tugboat. Determine the force in each of the bridles, BC and BD, if the ship is moving forward with constantvelocity.
Members AC and AB support the 300-lb crate. Determine the tensile force developed in eachmember.
If members AC and AB can support a maximum tension of 300 lb and 250 lb, respectively, determine the largest weight of the crate that can be safely supported.
The members of a truss are connected to the gusset plate. If the forces are concurrent at point O, determine the magnitudes of F and T for equilibrium. Take ? = 90?.
The gusset plate is subjected to the forces of three members. Determine the tension force in member C and its angle ? for equilibrium. The forces are concurrent at point O. Take F = 8 kN.
If block B weighs 200 lb and block C weighs 100 lb, determine the required weight of block D and the angle ? for equilibrium.
If block D weighs 300 lb and block B weighs 275 lb, determine the required weight of block C and the angle ? for equilibrium.
Determine the stretch in springs AC and AB for equilibrium of the 2-kg block. The springs are shown in the equilibriumposition.
Determine the tension developed in wires CA and CB required for equilibrium of the 10-kg cylinder. Take ? = 40?.
If cable CB is subjected to a tension that is twice that of cable CA, determine the angle for equilibrium of the 10-kg cylinder. Also, what are the tensions in wires andCB?
Determine the forces in cables AC and AB needed to hold the 20-kg ball D in equilibrium. Take F = 300 N and d = 1m.
The ball D has a mass of 20 kg. If a force of F = 100 N is applied horizontally to the ring at A, determine the dimension d so that the force in cable AC iszero.
Determine the tension developed in each wire used to support the 50-kgchandelier.
If the tension developed in each of the four wires is not allowed to exceed 600 N, determine the maximum mass of the chandelier that can besupported.
A vertical force P = 10 lb is applied to the ends of the 2-ft cord AB and spring AC. If the spring has an unstretched length of 2 ft, determine the angle ? for equilibrium. Take k = 15 lb/ft.
Determine the unstretched length of spring AC if a force P = 80 lb causes the angle ? = 60o for equilibrium. Cord AB is 2 ft long. Take k = 50 lb/ft.
If the bucket weighs 50 lb, determine the tension developed in each of thewires.
Determine the maximum weight of the bucket that the wire system can support so that no single wire develops a tension exceeding 100lb.
Determine the tensions developed in wires CD, CB, and BA and the angle ? required for equilibrium of the 30-lb cylinder E and the 60-lb cylinder F.
If cylinder E weighs 30 lb and ? = 15o, determine the weight of cylinder F.
Two spheres A and B have an equal mass and are electrostatically charged such that the repulsive force acting between them has a magnitude of 20 mN and is directed along line AB. Determine the angle ? the tension in cords AC and BC, and the mass m of each sphere.
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