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engineering
mechanical engineering
Vector Mechanics For Engineers Statics 7th Edition R.C.Hibbeler - Solutions
Determine the force in members AF and EJ of the truss shown when P = Q = 2 kips.
Determine the force in members AF and EJ of the truss shown when P = 2 kips and Q = 0.
Determine the force in members DG and FH of the truss shown.
Determine the force in members IL, GJ, and HK of the truss shown.
The diagonal members in the center panels of the truss shown are very slender and can act only in tension; such members are known as counters. Determine the forces in the counters which are acting under the given loading.
The diagonal members in the center panels of the truss shown are very slender and can act only in tension; such members are known as counters. Determine the forces in the counters which are acting under the given loading.
The diagonal members in the center panel of the truss shown are very slender and can act only in tension; such members are known as counters. Determine the force in members BD and CE and in the counter which is acting when P = 3 kips.
Solve Prob. 6.66 when P = 1.5 kips.
The diagonal members CF and DE of the truss shown are very slender and can act only in tension; such members are known as counters. Determine the force in members CE and DF and in the counter which is acting.
The diagonal members EH and FG of the truss shown are very slender and can act only in tension; such members are known as counters. Determine the force in members EG and FH and in the counter which is acting.
Classify each of the structures shown as completely, partially, or improperly constrained; if completely constrained, further classify it as determinate or indeterminate. (All members can act both in tension and in compression.)
Classify each of the structures shown as completely, partially, or improperly constrained; if completely constrained, further classify it as determinate or indeterminate. (All members can act both in tension and in compression.)
Classify each of the structures shown as completely, partially, or improperly constrained; if completely constrained, further classify it as determinate or indeterminate. (All members can act both in tension and in compression.)
Classify each of the structures shown as completely, partially, or improperly constrained; if completely constrained, further classify it as determinate or indeterminate. (All members can act both in tension and in compression.)
Classify each of the structures shown as completely, partially, or improperly constrained; if completely constrained, further classify it as determinate or indeterminate. (All members can act both in tension and in compression.)
Classify each of the structures shown as completely, partially, or improperly constrained; if completely constrained, further classify it as determinate or indeterminate. (All members can act both in tension and in compression.)
For the frame and loading shown, determine the force acting on member ABC(a) At B,(b) At C.
Determine the force in member AC and the reaction at B when(a) θ = 30o,(b) θ = 60o.
A circular ring of radius 200 mm is pinned at A and is supported by rod BC, which is fitted with a collar at C that can be moved along the ring. For the position when θ = 35°, determine (a) The force in rod BC,(b) The reaction at A.
Solve Prob. 6.78 when θ = −20°.
For the frame and loading shown, determine the components of all forces acting on member ABC.
Solve Prob. 6.80 assuming that the 80-kN load is replaced by a clockwise couple of magnitude 120 kN ⋅m applied to member EDC at point D.
For the frame and loading shown, determine the components of all forces acting on member ABC.
Solve Prob. 6.82 assuming that the 4.5-kip load is replaced by a clockwise couple of magnitude 54 kip ⋅ ft applied to member CDEF at point D.
Determine the components of the reactions at A and E when a 160-lb force directed vertically downward is applied(a) At B,(b) At D.
Determine the components of the reactions at A and E when a 120-N force directed vertically downward is applied(a) At B,(b) At D.
Determine the components of the reactions at A and E when the frame is loaded by a clockwise couple of magnitude 360lb ⋅ in. applied(a) At B,(b) At D.
Determine the components of the reactions at A and E when the frame is loaded by a counterclockwise couple of magnitude 24 N · m applied(a) At B,(b) At D.
Determine the components of the reactions at A and B if(a) The 240-N load is applied as shown,(b) The 240-N load is moved along its line of action and is applied at E.
The 192-N load can be moved along the line of action shown and applied at A, D, or E. Determine the components of the reactions at B and F when the 192-N load is applied(a) At A,(b) At D,(c) At E.
The 192-N load is removed and a 288 N ⋅ m clockwise couple is applied successively at A, D, and E. Determine the components of the reactions at B and F when the couple is applied(a) At A,(b) At B,(c) At E.
(a) Show that when a frame supports a pulley at A, an equivalent loading of the frame and of each of its component parts can be obtained by removing the pulley and applying at A two forces equal and parallel to the forces that the cable exerted on the pulley.(b) Show that if one end of the cable is
Knowing that the pulley has a radius of 1.5 ft, determine the components of the reactions at A and E.
Knowing that the pulley has a radius of 1.25 in., determine the components of the reactions at B and E.
Two 200-mm-diameter pipes (pipe 1 and pipe 2) are supported every 3 m by a small frame like the one shown. Knowing that the combined mass per unit length of each pipe and its contents is 32 kg/m and assuming frictionless surfaces, determine the components of the reactions at A and E when a = 0.
Solve Prob. 6.94 when a = 280 mm.
The tractor and scraper units shown are connected by a vertical pin located 1.8 ft behind the tractor wheels. The distance from C to D is 2.25 ft. The center of gravity of the 20-kip tractor unit is located at Gt, while the centers of gravity of the 16-kip scraper unit and the 90- kip load are
Solve Prob. 6.96 assuming that the 90-kip load has been removed.
For the frame and loading shown, determine the components of all forces acting on member ABE.
For the frame and loading shown, determine the components of all forces acting on member ABE.
For the frame and loading shown, determine the components of the forces acting on member ABC at B and C.
For the frame and loading shown, determine the components of the forces acting on member CDE at C and D.
Knowing that P = 15 N and Q = 65 N, determine the components of the forces exerted(a) On member BCDF at C and D,(b) On member ACEG at E.
Knowing that P = 25 N and Q = 55 N, determine the components of the forces exerted(a) On member BCDF at C and D,(b) On member ACEG at E.
Knowing that P = 822 N and Q = 0, determine for the frame and loading shown(a) The reaction at D,(b) The force in member BF.
Knowing that P = 0 and Q = 1096 N, determine for the frame and loading shown(a) The reaction at D,(b) The force in member BF.
The axis of the three-hinge arch ABC is a parabola with vertex at B. Knowing that 28 P = kips and Q = 35 kips, determine(a) The components of the reaction at A,(b) The components of the force exerted at B on segment AB.
The axis of the three-hinge arch ABC is a parabola with vertex at B. Knowing that 35 P = kips and Q = 28 kips, determine(a) The components of the reaction at A,(b) The components of the force exerted at B on segment AB.
For the frame and loading shown, determine the reactions at A, B, D, and E. Assume that the surface at each support is frictionless.
Members ABC and CDE are pin-connected at C and are supported by four links. For the loading shown, determine the force in each link.
Members ABC and CDE are pin-connected at C and are supported by four links. For the loading shown, determine the force in each link.
Members ABC and CDE are pin-connected at C and are supported by four links. For the loading shown, determine the force in each link.
Solve Prob. 6.109 assuming that the force P is replaced by a clockwise couple of moment M0 applied to member CDE at D.
Four wooden beams, each of length 2a, are nailed together at their midpoints to form the support system shown. Assuming that only vertical forces are exerted at the connections, determine the vertical reactions at A, D, E, and H.
Three wooden beams, each of length of 3a, are nailed together to form the support system shown. Assuming that only vertical forces are exerted at the connections, determine the vertical reactions at A, D, and F.
Each of the frames shown consists of two L-shaped members connected by two rigid links. For each frame, determine the reactions at the supports and indicate whether the frame is rigid.
Each of the frames shown consists of two L-shaped members connected by two rigid links. For each frame, determine the reactions at the supports and indicate whether the frame is rigid.
Each of the frames shown consists of two L-shaped members connected by two rigid links. For each frame, determine the reactions at the supports and indicate whether the frame is rigid.
A 50-N force directed vertically downward is applied to the toggle vise at C. Knowing that link BD is 150 mm long and that a = 100 mm, determine the horizontal force exerted on block E.
A 50-N force directed vertically downward is applied to the toggle vise at C. Knowing that link BD is 150 mm long and that a = 200 mm, determine the horizontal force exerted on block E.
The press shown is used to emboss a small seal at E. Knowing that P = 60 lb, determine(a) The vertical component of the force exerted on the seal,(b) The reaction at A.
The press shown is used to emboss a small seal at E. Knowing that the vertical component of the force exerted on the seal must be 240 lb, determine(a) The required vertical force P,(b) The corresponding reaction at A.
The double toggle latching mechanism shown is used to hold member G against the support. Knowing that α = 60°, determine the force exerted on G.
The double toggle latching mechanism shown is used to hold member G against the support. Knowing that α = 75°, determine the force exerted on G.
For the system and loading shown, determine(a) The force P required for equilibrium,(b) The corresponding force in member BD,(c) The corresponding reaction at C.
A couple M of magnitude15 kip ⋅in. is applied to the crank of the engine system shown. For each of the two positions shown, determine the force P required to hold the system in equilibrium.
A force P of magnitude 4 kips is applied to the piston of the engine system shown. For each of the two positions shown, determine the couple M required to hold the system in equilibrium.
Arm BCD is connected by pins to crank AB at B and to a collar at C. Neglecting the effect of friction, determine the couple M required to hold the system in equilibrium when θ = 0.
Arm BCD is connected by pins to crank AB at B and to a collar at C. Neglecting the effect of friction, determine the couple M required to hold the system in equilibrium when θ = 45°.
The double toggle mechanism shown is used in a punching machine. Knowing that links AB and BC are each of length 150 mm, determine the couple M required to hold the system in equilibrium when φ = 20°.
The double toggle mechanism shown is used in a punching machine. Knowing that links AB and BC are each of length 150 mm and that M = 75 N · m, determine the angle φ if the system is in equilibrium.
Two rods are connected by a slider block as shown. Neglecting the effect of friction, determine the couple MA required to hold the system in equilibrium.
Two rods are connected by a slider block as shown. Neglecting the effect of friction, determine the couple A M required to hold the system in equilibrium.
Rod CD is attached to the collar D and passes through a collar welded to end B of lever AB. Neglecting the effect of friction, determine the couple M required to hold the system in equilibrium when θ = 30o.
Rod CD is attached to the collar D and passes through a collar welded to end B of lever AB. Neglecting the effect of friction, determine the couple M required to hold the system in equilibrium when θ = 30o.
The slab tongs shown are used to lift a 960-lb block of granite. Determine the forces exerted at D and F on tong BDF.
The pallet puller shown is used to pull a loaded pallet to the rear of a truck. Knowing that P = 420 lb, determine the forces exerted at G and H on tong FGH.
The drum lifter shown is used to lift a steel drum. Knowing that the mass of the drum and its contents is 240 kg, determine the forces exerted at F and H on member DFH.
A small barrel having a mass of 72 kg is lifted by a pair of tongs as shown. Knowing that a = 100 mm, determine the forces exerted at B and D on tong ABD.
Determine the magnitude of the ripping forces exerted along line n the nut when two 240-N forces are applied to the handles as shown. Assume that pins A and D slide freely in slots cut in the jaws.
In using the bolt cutter shown, a worker applies two 75-lb forces to the handles. Determine the magnitude of the forces exerted by the cutter on the bolt.
Determine the magnitude of the gripping forces produced when two 50-lb forces are applied as shown.
The compound-lever pruning shears shown can be adjusted by placing pin A at various ratchet positions on blade ACE. Knowing that 1.5-kN vertical forces are required to complete the pruning of a small branch, determine the magnitude P of the forces that must be applied to the handles when the shears
Determine the force P which must be applied to the toggle BCD To maintain equilibrium in the position shown.
In the locked position shown, the toggle clamp exerts at A vertical 1.2-kN force on the wooden block, and handle CF rests against the stop at G. Determine the force P required to release the clamp.
The garden shears shown consist of two blades and two handles. The two handles are connected by pin C and the two blades are connected by pin D. The left blade and the right handle are connected by pin A; the right blade and the left handle are connected by pin B. Determine the magnitude of the
The bone rongeur shown is used in surgical procedures to cut small bones. Determine the magnitude of the forces exerted on the bone at E when two 25-lb forces are applied as shown.
The telescoping arm ABC is used to provide an elevated platform for construction workers. The workers and the platform together have a mass of 240 kg and have a combined center of gravity located directly above C. For the position when θ = 24o, determine (a) The force exerted at B by the
The telescoping arm ABC can be lowered until end C is close to the ground, so that workers can easily board the platform. For the position when θ = −18o, determine(a) The force exerted at B by the single hydraulic cylinder BD,(b) The force exerted on the supporting carriage at A.
The bucket of the front-end loader shown carries a 12-kN load. The motion of the bucket is controlled by two identical mechanisms, only one of which is shown. Knowing that the mechanism shown supports one-half of the 12-kN load determine the force exerted(a) By cylinder CD,(b) By cylinder FH.
The motion of the bucket of the front-end loader shown is controlled by two arms and a linkage which are pin-connected at D. The arms are located symmetrically with respect to the central, vertical, and longitudinal plane of the loader; one arm AFJ and its control cylinder EF are shown. The single
In the planetary gear system shown, the radius of the central gear A is a = 20 mm, the radius of the planetary gear is b, and the radius of the outer gear E is (a + 2b). A clockwise couple of magnitude MA = 20 N ⋅ m is applied to the central gear A, and a counterclockwise couple of
Gears A and D are rigidly attached to horizontal shafts that are held by frictionless bearings. Determine(a) The couple 0 M that must be applied to shaft DEF to maintain equilibrium(b) The reactions at G and H.
(a) The magnitude of the couple which must be applied to shaft AC at A to maintain equilibrium,(b) The reactions at B, D, and E.
Solve Prob. 6.153 assuming that the arm of the crosspiece attached to shaft CF is vertical.
The large mechanical tongs shown are used to grab and lift a thick 1800-lb steel slab HJ. Knowing that slipping does not occur between the tong grips and the slab at H and J, determine the components of all forces acting on member EFH.
For the frame and loading shown, determine the force acting on member ABC(a) At B,(b) At C.
Determine the force in each member of the truss shown. State whether each member is in tension or compression.
The tongs shown are used to apply a total upward force of 45kN on a pipe cap. Determine the forces exerted at D and F on tong ADF.
A stadium roof truss is loaded as shown. Determine the force in members BC, BH, and GH.
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