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engineering
civil engineering
Engineering Mechanics Statics 12th Edition R. C. Hibbeler - Solutions
The cords BCA and CD can each support a maximum load of 100 lb. Determine the maximum weight of the crate that can be hoisted at constant velocity and the angle ? for equilibrium. Neglect the size of the smooth pulley at C.
The springs on the rope assembly are originally unstretched when ? = 0o. Determine the tension in each rope when F = 90lb. Neglect the size of the pulleys at B and D.
The springs on the rope assembly are originally stretched 1 ft when ? = 0o. Determine the vertical force F that must be applied so that ? = 30?.
Determine the magnitude and direction ? of the equilibrium force FAB?exerted along link AB by the tractive apparatus shown. The suspended mass is 10 kg. Neglect the size of the pulley at A.?
The wire forms a loop and passes over the small pulleys at A, B, C, and D. If its end is subjected to a force of P = 50 N, determine the force in the wire and the magnitude of the resultant force that the wire exerts on each of thepulleys.
The wire forms a loop and passes over the small pulleys at A,B,C, and D. If the maximum resultant force that the wire can exert on each pulley is 120 N, determine the greatest force P that can be applied to the wire asshown.
The picture has a weight of 10 lb and is to be hung over the smooth pin B. If a string is attached to the frame at points A and C, and the maximum force the string can support is 15 lb, determine the shortest string that can be safelyused.
The 200-lb uniform tank is suspended by means of a 6-ft-long cable, which is attached to the sides of the tank and passes over the small pulley located at O. If the cable can be attached at either points A and B or C and D, determine which attachment produces the least amount of tension in the
The 10-lb weight is supported by the cord AC and roller and by the spring that has a stiffness of k = 10 lb/in. and an unstretched length of 12 in. Determine the distance d to where the weight is located when it is in equilibrium.
The 10-lb weight is supported by the cord AC and roller and by a spring. If the spring has an unstretched length of 8 in. and the weight is in equilibrium when d = 4 in., determine the stiffness k of thespring.
A ?scale? is constructed with a 4-ft-long cord and the 10-lb block D. The cord is fixed to a pin at A and passes over two small pulleys at B and C. Determine the weight of the suspended block at B if the system is in equilibrium.?
The spring has a stiffness of k = 800 N/m and an unstretched length of 200 mm. Determine the force in cables BC and BD when the spring is held in the positionshown.
A continuous cable of total length 4 m is wrapped around the small pulleys at A, B, C, and D. If each spring is stretched 300 mm, determine the mass m of each block. Neglect the weight of the pulleys and cords. The springs are un-stretched when d = 2m.
Determine the mass of each of the two cylinders if they cause a sag of s = 0.5 m when suspended from the rings at A and B. Note that s = 0 when the cylinders areremoved.
The pail and its contents have a mass of 60 kg. If the cable BAC is 15 m long, determine the distance y to the pulley at A for equilibrium. Neglect the size of thepulley.
A scale is constructed using the 10-kg mass, the 2-kg pan P, and the pulley and cord arrangement. Cord BCA is 2 m long. If s = 0.75 m, determine the mass D in the pan. Neglect the size of thepulley.
Determine the tension in the cables in order to support the 100-kg crate in the equilibrium positionshown.
Determine the maximum mass of the crate so that the tension developed in any cable does not exceeded 3kN.
The shear leg derrick is used to haul the 200-kg net of fish onto the dock. Determine the compressive force along each of the legs AB and CB and the tension in the winch cable DB. Assume the force in each leg acts along itsaxis.
Determine the tension developed in cables AB, AC, and AD required for equilibrium of the 300-lbcrate.
Determine the maximum weight of the crate so that the tension developed in any cable does not exceed 450lb.
Determine the force in each cable needed to support the 3500-lb platform. Set d = 2ft.
Determine the force in each cable needed to support the 3500-lb platform. Set d = 4ft.
Determine the force in each of the three cables needed to lift the tractor which has a mass of 8Mg.
Determine the force acting along the axis of each of the three struts needed to support the 500-kgblock.
If the mass of the flowerpot is 50 kg, determine the tension developed in each wire for equilibrium. Set x = 1.5 m and z = 2m.
If the mass of the flowerpot is 50 kg, determine the tension developed in each wire for equilibrium. Set x = 2 m and z = 1.5 m.
The ends of the three cables are attached to a ring at A and to the edge of a uniform 150-kg plate. Determine the tension in each of the cables forequilibrium.
The ends of the three cables are attached to a ring at A and to the edge of the uniform plate. Determine the largest mass the plate can have if each cable can support a maximum tension of 15kN.
Determine the tension developed in cables AB, AC, and AD required for equilibrium of the 75-kgcylinder.
If each cable can withstand a maximum tension of 1000 N, determine the largest mass of the cylinder forequilibrium.
The 50-kg pot is supported from A by the three cables. Determine the force acting in each cable for equilibrium. Take d = 2.5m.
Determine the height d of cable AB so that the force in cables AD and AC is one-half as great as the force in cable AB. What is the force in each cable for this case? The flower pot has a mass of 50kg.
A force of F = 100 lb holds the 400-lb crate in equilibrium. Determine the coordinates (0, y, z) of point A if the tension in cords AC and AB is 700 lbeach.
If the maximum allowable tension in cables AB and AC is 500 lb, determine the maximum height z to which the 200-lb crate can be lifted. What horizontal force F must be applied? Take y = 8ft.
The thin ring can be adjusted vertically between three equally long cables from which the 100-kg chandelier is suspended. If the ring remains in the horizontal plane and z = 600 mm, determine the tension in eachcable.
The thin ring can be adjusted vertically between three equally long cables from which the 100-kg chandelier is suspended. If the ring remains in the horizontal plane and the tension in each cable is not allowed to exceed 1 kN, determine the smallest allowable distance required z forequilibrium.
The bucket has a weight of 80 lb and is being hoisted using three springs, each having an unstretched length of l0 = 1.5 ft and stiffness of k = 50 lb/ft. Determine the vertical distance d from the rim to point A forequilibrium.
Three cables are used to support a 900-lb ring. Determine the tension in each cable forequilibrium.
The three outer blocks each have a mass of 2 kg, and the central block E has a mass of 3 kg. Determine the sag s for equilibrium of thesystem.
Determine the angle ? such that an equal force is developed in legs OB and OC. What is the force in each leg if the force is directed along the axis of each leg? The force F lies in the x-y plane. The supports at A, B, C can exert forces in either direction along the attached legs.?
The members of a truss are pin connected at joint O. Determine the magnitude of F1 and its angle ? for equilibrium. Set F2 = 6 kN.
The members of a truss are pin connected at joint O. Determine the magnitudes of F1 and F2 for equilibrium. Set u = 60?.
Two electrically charged pith balls, each having a mass of 0.15 g, are suspended from light threads of equal length. Determine the magnitude of the horizontal repulsive force, F, acting on each ball if the measured distance between them is r = 200mm.
Determine the magnitude of P and the coordinate direction angles of required for equilibrium of F3 the particle. Note that F3 acts in the octantshown.
The ring of negligible size is subjected to a vertical force of 200 lb. Determine the longest length l of cord AC such that the tension acting in AC is 160 lb. Also, what is the force acting in cordAB?
Determine the magnitudes of F1, F2, and F3 for equilibrium of theparticle.
Determine the force in each cable needed to support the 500-lbload.
Two men exert forces of F = 80 lb and P = 50 lb on the ropes. Determine the moment of each force about A. Which way will the pole rotate, clockwise or counterclockwise?
If ? = 45o, determine the moment produced by the 4-kN force about point A.
If the moment produced by the 4-kN force about point A is 10 kN ? m clockwise, determine the angle ?, where 0? ? ? ? 90?.
The handle of the hammer is subjected to the force of F = 20 lb. Determine the moment of this force about the pointA.
In order to pull out the nail at B, the force F exerted on the handle of the hammer must produce a clockwise moment of 500 lb is ? in. about point A. Determine the required magnitude of force F.
The hub of the wheel can be attached to the axle either with negative offset (left) or with positive offset (right). If the tire is subjected to both a normal and radial load as shown, determine the resultant moment of these loads about point O on the axle for bothcases.
The member is subjected to a force of F = 6 kN. If ? = 45o, determine the moment produced by F about point A
Determine the angle ? (0? ? ? ? 180?) of the force F so that it produces a maximum moment and a minimum moment about point A. Also, what are the magnitudes of these maximum and minimum moments?
Determine the moment produced by the force F about point A in terms of the angle ?. Plot the graph of MA versus ?, where 0? ? ? ? 180?. ?
Serious neck injuries can occur when a football player is struck in the face guard of his helmet in the manner shown, giving rise to a guillotine mechanism. Determine the moment of the knee force P = 50 lb about point A. What would be the magnitude of the neck force F so that it gives the
The Achilles tendon force of Ft = 650 N is mobilized when the man tries to stand on his toes. As this is done, each of his feet is subjected to a reactive force of Nf = 400 N. Determine the resultant moment of Ft and Nf about the ankle jointA.
The Achilles tendon force Ft is mobilized when the man tries to stand on his toes. As this is done, each of his feet is subjected to a reactive force of Nt = 400 N. If the resultant moment produced by forces Ft and Nt about the ankle joint A is required to be zero, determine the magnitude ofFt.
The two boys push on the gate with forces of FA = 30 lb and as shown. Determine the moment of each force about C. Which way will the gate rotate, clockwise or counterclockwise? Neglect the thickness of thegate.
Two boys push on the gate as shown. If the boy at B exerts a force of FB = 30 lb, determine the magnitude of the force FA the boy at A must exert in order to prevent the gate from turning. Neglect the thickness of thegate.
The tongs are used to grip the ends of the drilling pipe P. Determine the torque (moment) MP that the applied force F = 150 lb exerts on the pipe about point P as a function of . Plot this moment MP versus ? for 0 ? ? ? 90?.
The tongs are used to grip the ends of the drilling pipe P. If a torque (moment) of MP = 800 lb ? ft is needed at P to turn the pipe, determine the cable force F that must be applied to the tongs. Set ? = 30?.
Determine the direction ? for 0? ? ? ? 180 of the force F so that it produces the maximum moment about point A. Calculate this moment.
Determine the moment of the force F about point A as a function of ?. Plot the results of M (ordinate) versus ? (abscissa) for 0? ? ? ? 180?.
Determine the minimum moment produced by the force F about point A. Specify the angle ? (0o ? ? ? 180?).
In order to raise the lamp post from the position shown, force F is applied to the cable. If F = 200 lb, determine the moment produced by F about point A.
In order to raise the lamp post from the position shown, the force F on the cable must create a counterclockwise moment of 1500 lb ? f about point A. Determine the magnitude of F that must be applied to the cable.
The foot segment is subjected to the pull of the two plantar flexor muscles. Determine the moment of each force about the point of contact A on theground.
The 70-N force acts on the end of the pipe at B. Determine (a) The moment of this force about point A, and (b) The magnitude and direction of a horizontal force, applied at C, which produces the same moment. Take ? = 60?.
The towline exerts a force of P = 4 kN at the end of the 20-m-long crane boom. If u = 30?, determine the placement x of the hook at A so that this force creates a maximum moment about point O. What is this moment?
The towline exerts a force of P = 4 kN at the end of the 20-m-long crane boom. If x = 25 m, determine the position ? of the boom so that this force creates a maximum moment about point O. What is this moment?
In order to hold the wheelbarrow in the position shown, force F must produce a counterclockwise moment of 200 N ? m about the axle at A. Determine the required magnitude of force F.
The wheelbarrow and its contents have a mass of 50 kg and a center of mass at G. If the resultant moment produced by force F and the weight about point A is to be zero, determine the required magnitude of forceF.
The wheelbarrow and its contents have a center of mass at G. If F = 100 N and the resultant moment produced by force F and the weight about the axle at A is zero, determine the mass of the wheelbarrow and itscontents.
Determine the moment produced by F1 about point O. Express the result as a Cartesianvector.
Determine the moment produced by F2 about point O. Express the result as a Cartesianvector.
Determine the resultant moment produced by the two forces about point O. Express the result as a Cartesianvector.
Determine the moment produced by force FB about point O. Express the result as a Cartesianvector.
Determine the moment produced by force FC about point O. Express the result as a Cartesianvector.
Determine the resultant moment produced by forces FB and FC about point O. Express the result as a Cartesianvector.
Determine the moment produced by each force about point O located on the drill bit. Express the results as Cartesianvectors.
A force of F = {6i − 2j + 1k} kN produces a moment of MO = {4i + 5j − 14k} kN ∙ m about the origin of coordinates, point O. If the force acts at a point having an x coordinate of x = 1 m, determine the y and z coordinates.
The force F = {6i + 8j + 10k} N creates a moment about point O of MO = {?14i + 8j + 2k} N ? m. If the force passes through a point having an x coordinate of 1 m, determine the y and z coordinates of the point. Also, realizing that MO = Fd, determine the perpendicular distance d from point O to the
Force F acts perpendicular to the inclined plane. Determine the moment produced by F about point A. Express the result as a Cartesianvector.
Force F acts perpendicular to the inclined plane. Determine the moment produced by F about point B. Express the result as a Cartesianvector.
A 20-N horizontal force is applied perpendicular to the handle of the socket wrench. Determine the magnitude and the coordinate direction angles of the moment created by this force about pointO.
Determine the moment produced by force F about he diagonal AF of the rectangular block. Express the result s a Cartesianvector.
Determine the moment produced by force F about he diagonal OD of the rectangular block. Express the result as a Cartesianvector.
The tool is used to shut off gas valves that are difficult to access. If the force F is applied to the handle, determine the component of the moment created about the z axis of thevalve.
Determine the magnitude of the moments of the force F about the x, y, and z axes. Solve the problem(a) Using a Cartesian vector approach and(b) Using a scalarapproach.
Determine the moment of the force F about an axis extending between A and C. Express the result as a Cartesianvector.
Determine the moment produced by force F about segment AB of the pipe assembly. Express the result as a Cartesianvector.
Determine the magnitude of the moment that the force F exerts about the y axis of the shaft. Solve the problem using a Cartesian vector approach and using a scalarapproach.
If F = 450 N, determine the magnitude of the moment produced by this force about the xaxis.
The friction at sleeve A can provide a maximum resisting moment of 125 N ? m about the x axis. Determine the largest magnitude of force F that can be applied to the bracket so that the bracket will not turn.
Determine the magnitude of the moment produced by the force of F = 200 N about the hinged axis (the x axis) of thedoor.
If the tension in the cable is F = 140 lb, determine the magnitude of the moment produced by this force about the hinged axis, CD, of thepanel.
Determine the magnitude of force F in cable AB in order to produce a moment of 500 lb ? ft about the hinged axis CD, which is needed to hold the panel in the position shown.
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