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engineering
mechanical engineering

Questions and Answers of Mechanical Engineering

Two control rods are attached at A to lever AB. Using trigonometry and knowing that the force in the left-hand rod is 1 30 F = lb, determine(a) The required force F2 in the right-hand rod if the
Two control rods are attached at A to lever AB. Using trigonometry and knowing that the force in the right-hand rod is F2 = 20 lb, determine(a) The required force F1 in the left-hand rod if the
An elastic exercise band is grasped and then is stretched as shown. Knowing that the tensions in portions BC and DE of the band are 80 N and 60 N, respectively, determine, using trigonometry,(a) The
To steady a sign as it is being lowered, two cables are attached to the sign at A. Using trigonometry and knowing that Î± = 25°, determine(a) The required magnitude of the force P if
To steady a sign as it is being lowered, two cables are attached to the sign at A. Using trigonometry and knowing that the magnitude of P is 70 lb, determine(a) The required angle Î± if
As shown in Fig. P2.11, two cables are attached to a sign at A to steady the sign as it is being lowered. Using trigonometry, determine(a) The magnitude and direction of the smallest force P for
As shown in Fig. P2.10, an elastic exercise band is grasped and then is stretched. Knowing that the tension in portion DE of the band is 70 N, determine, using trigonometry,(a) The magnitude and
Solve Prob. 2.1 using trigonometry. Problem 2.1: Two forces P and Q are applied as shown at point A of a hook support. Knowing that P = 15 lb and Q = 25 lb, determine graphically the magnitude and
Solve Prob. 2.2 using trigonometry. Problem 2.2: Two forces P and Q are applied as shown at point A of a hook support. Knowing that 45 lb and = P= Q 15 lb, determine graphically the magnitude and
Solve Prob. 2.3 using trigonometry. Problem 2.3: Two forces are applied to an eye bolt fastened to a beam. Determine graphically the magnitude and direction of their resultant using(a) The
For the hook support of Prob. 2.7, determine, using trigonometry, the magnitude and direction of the resultant of the two forces applied to the support knowing that P = 500 N and Î± =
Two structural members A and B are bolted to a bracket as shown. Knowing that both members are in compression and that the force is 30 kN in member A and 20 kN in member B, determine, using
Two structural members A and B are bolted to a bracket as shown. Knowing that both members are in compression and that the force is 20 kN in member A and 30 kN in member B, determine, using
Determine the x and y components of each of the forces shown.
Determine the x and y components of each of the forces shown.
Determine the x and y components of each of the forces shown.
Determine the x and y components of each of the forces shown.
Member BD exerts on member ABC a force P directed along line BD. Knowing that P must have a 960-N vertical component, determine(a) The magnitude of the force P,(b) Its horizontal component.
While emptying a wheelbarrow, a gardener exerts on each handle AB a force P directed along line CD. Knowing that P must have a 30-lb horizontal component, determine(a) The magnitude of the force
Activator rod AB exerts on crank BCD a force P directed along line AB. Knowing that P must have a 100-N component perpendicular to arm BC of the crank, determine(a) The magnitude of the force P,(b)
Member CB of the vise shown exerts on block B a force P directed along line CB. Knowing that P must have a 260-lb horizontal component, determine(a) The magnitude of the force P,(b) Its vertical
A window pole is used to open a window as shown. Knowing that the pole exerts on the window a force P directed along the pole and that the magnitude of the vertical component of P is 45 N,
A window pole is used to open a window as shown. Knowing that the pole exerts on the window a force P directed along the pole and that the magnitude of the horizontal component of P is 18 N,
Determine the resultant of the three forces of Prob. 2.21. Problem 2.21: Determine the x and y components of each of the forces shown.
Determine the resultant of the three forces of Prob. 2.22. Problem 2.22: Determine the x and y components of each of the forces shown.
Determine the resultant of the three forces of Prob. 2.24. Problem 2.24: Determine the x and y components of each of the forces shown.
Determine the resultant of the three forces of Prob. 2.23. Problem 2.23: Determine the x and y components of each of the forces shown.
Knowing that the tension in cable BC is 145 lb, determine the resultant of the three forces exerted at point B of beam AB.
A collar that can slide on a vertical rod is subjected to the three forces shown. Determine(a) The value of the angle Î± for which the resultant of the three forces is horizontal,(b) The
Knowing that Î± =65°, determine the resultant of the three forces shown.
Knowing that Î± =50°, determine the resultant of the three forces shown.
For the beam of Problem 2.35, determine(a) The required tension in cable BC if the resultant of the three forces exerted at point B is to be vertical,(b) The corresponding magnitude of the resultant.
For the three forces of Prob. 2.38, determine(a) The required value of Î± if the resultant is to be vertical,(b) The corresponding magnitude of the resultant. Problem 2.38: Knowing that
For the block of Problem 2.37, determine(a) The required value of Î± if the resultant of the three forces shown is to be parallel to the incline,(b) The corresponding magnitude of the
Boom AB is held in the position shown by three cables. Knowing that the tensions in cables AC and AD are 900 lb and 1200 lb, respectively, determine(a) The tension in cable AE if the resultant of the
Knowing that Î± =50° and that boom AC exerts on pin C a force directed along line AC, determine(a) The magnitude of that force,(b) The tension in cable BC.
Two cables are tied together at C and are loaded as shown. Determine the tension (a) in cable AC, (b) in cable BC.
An irregularly shaped machine component is held in the position shown by three clamps. Knowing that 940 FA = N, determine the magnitudes of the forces FB and FC exerted by the other two clamps.
Ropes AB and AC are thrown to a boater whose canoe had capsized. Knowing that α =25° and that the magnitude of the force FR exerted by the river on the boater is 70 lb, determine the
A boat is pulling a parasail and rider at a constant speed. Knowing that the rider weighs 550 N and that the resultant force R exerted by the parasail on the towing yoke A forms an angle of 65°
Two traffic signals are temporarily suspended from a cable as shown. Knowing that the signal at B weighs 300 N, determine the weight of the signal at C.
Two forces of magnitude TA = 8 kips and TB = 15 kips are applied as shown to a welded connection. Knowing that the connection is in equilibrium, determine the magnitudes of the forces TC and TD.
Two forces of magnitude TA = 6 kips and TC = 9 kips are applied as shown to a welded connection. Knowing that the connection is in equilibrium, determine the magnitudes of the forces TB and TD.
Four wooden members are joined with metal plate connectors and are in equilibrium under the action of the four forces shown. Knowing that 2.3 FA = kN and FB = 2.1 kN, determine the magnitudes of the
Four wooden members are joined with metal plate connectors and are in equilibrium under the action of the four forces shown. Knowing that 1.9 FA = kN and FC = 2.4 kN, determine the magnitudes of the
In a circus act, an aerialist performs a handstand on a wheel while being pulled across a high wire ABC of length 8 m by another performer as shown. Knowing that the tension in rope DE is 35 N when
In a circus act, an aerialist performs a handstand on a wheel while being pulled across a high wire ABC of length 8 m by another performer as shown. Knowing that the aerialist weighs 720 N and is
Two cables tied together at C are loaded as shown. Knowing that 190 W = lb, determine the tension(a) In cable AC,(b) In cable BC.
Two cables tied together at C are loaded as shown. Determine the range of values of W for which the tension will not exceed 240 lb in either cable.
A load of weight 400 N is suspended from a spring and two cords that are attached to blocks of weights 3W and W as shown. Knowing that the constant of the spring is 800 N/m, determine(a) The value of
A block of weight W is suspended from a 25-in.-long cord and two springs of which the unstretched lengths are 22.5 in. Knowing that the constants of the springs are 9 lb/kAB = in. and kAD = 3 lb/in.,
For the ropes and force of the river of Prob. 2.46, determine(a) The value of Î± for which the tension in rope AB is as small as possible,(b) The corresponding value of the
Two cables tied together at C are loaded as shown. Knowing that the maximum allowable tension in each cable is 900 N, determine(a) The magnitude of the largest force P which may be applied at C,(b)
Two cables tied together at C are loaded as shown. Knowing that the maximum allowable tension is 1400 N in cable AC and 700 N in cable BC, determine(a) The magnitude of the largest force P which may
Knowing that portions AC and BC of cable ACB must be equal, determine the shortest length of cable that can be used to support the load shown if the tension in the cable is not to exceed 870 N.
For the structure and loading of Prob. 2.43, determine(a) The value of α for which the tension in cable BC is as small as possible,(b) The corresponding value of the tension.
Collar A can slide on a frictionless vertical rod and is attached as shown to a spring. The constant of the spring is 4 lb/in., and the spring is unstretched when en h = 12 in. Knowing that the
The 9-lb collar A can slide on a frictionless vertical rod and is attached as shown to a spring. The spring is unstretched when en h = 12 in. Knowing that the constant of the spring is 3 lb/in.,
Boom AB is supported by cable BC and a hinge at A. Knowing that the boom exerts on pin B a force directed along the boom and that the tension in rope BD is 310 N, determine(a) The value of α
The force P is applied to a small wheel that rolls on the cable ACB. Knowing that the tension in both parts of the cable is 140 lb, determine the magnitude and direction of P.
A 280-kg crate is supported by several rope-and-pulley arrangements as shown. Determine for each arrangement the tension in the rope.
Solve parts b and d of Prob. 2.68 assuming that the free end of the rope is attached to the crate.Problem 2.68: A 280-kg crate is supported by several rope-and-pulley arrangements as shown. Determine
A load Q is applied to the pulley C, which can roll on the cable ACB. The pulley is held in the position shown by a second cable CAD, which passes over the pulley A and supports a load P. Knowing
A 2000-N load Q is applied to the pulley C, which can roll on the cable ACB. The pulley is held in the position shown by a second cable CAD, which passes over the pulley A and supports a load P.
Three forces are applied to a bracket. The directions of the two 30-lb forces can vary, but the angle between these forces is always 50°. Determine the range of values of Î± for
To stabilize a tree partially uprooted in a storm, cables AB and AC are attached to the upper trunk of the tree and then are fastened to steel rods anchored in the ground. Knowing that the tension in
To stabilize a tree partially uprooted in a storm, cables AB and AC are attached to the upper trunk of the tree and then are fastened to steel rods anchored in the ground. Knowing that the tension in
Determine(a) The x, y, and z components of the 900-N force,(b) The angles θx, θy, and θz that the force forms with the coordinate axes.
Determine(a) The x, y, and z components of the 1900-N force,(b) The angles Î¸x, Î¸y, and Î¸z that the force forms with the coordinate axes.
A gun is aimed at a point A located 20° west of north. Knowing that the barrel of the gun forms an angle e of 35° with the horizontal and that the maximum recoil force is 180 lb, determine (a) The
Solve Prob. 2.77 assuming that point A is located 25° north of west and that the barrel of the gun forms an angle of 30° with the horizontal. Problem 2.77: A gun is aimed at a point A located
The angle between the spring AB and the post DA is 30°. Knowing that the tension in the spring is 220 N, determine(a) The x, y, and z components of the force exerted by this spring on the
The angle between the spring AC and the post DA is 30°. Knowing that the x component of the force exerted by spring AC on the plate is 180 N, determine(a) The tension in spring AC,(b) The angles
A transmission tower is held by three guy wires anchored by bolts at B, C, and D. If the tension in wire AB is 2100 N, determine the components of the force exerted by the wire on the bolt at B.
Determine the magnitude and direction of the e force F = (450 N)i + (600 N)j − (1800 N)k.
A force acts at the origin of a coordinate system in a direction defined by the angles θx = 43.2° and θz = 83.8°. Knowing that the y component of the force is −50 lb, determine
A force acts at the origin of a coordinate system in a direction defined by the angles θx 113.2° and θy = 78.4°.Knowing that the z component of the force is −35 lb, determine (a)
A force F of magnitude 250 N acts at the origin of a coordinate system. Knowing that Fx = 80 N, θ = y 72.4°, and Fz > 0, determine (a) The components Fy and Fz, (b) The angles x θ and
A force F of magnitude 320 N acts at the origin of a coordinate system. Knowing that θx = 104.5° Fz = −120 N, and Fy < 0, determine (a) The components Fx and Fy, (b) The angles
A steel rod is bent into a semicircular ring of radius 36 in. and is supported in part by cables BD and BE which are attached to the ring at B. Knowing that the tension in cable BD is 55 lb,
A steel rod is bent into a semicircular ring of radius 36 in. and is supported in part by cables BD and BE which are attached to the ring at B. Knowing that the tension in cable BE is 60 lb,
A transmission tower is held by three guy wires anchored by bolts at B, C, and D. If the tension in wire AB is 2100 N, determine the components of the force exerted by the wire on the bolt at B.
A transmission tower is held by three guy wires anchored by bolts at B, C, and D. If the tension in wire AD is 1260 N, determine the components of the force exerted by the wire on the bolt at D.
Two cables BG and BH are attached to the frame ACD as shown. Knowing that the tension in cable BG is 450 N, determine the components of the force exerted by cable BG on the frame at B.
Two cables BG and BH are attached to the frame ACD as shown. Knowing that the tension in cable BH is 600 N, determine the components of the force exerted by cable BH on the frame at B.
Determine the magnitude and direction of the resultant of the two forces shown knowing that P = 4 kips and Q = 8 kips.
Determine the magnitude and direction of the resultant of the two forces shown knowing that P = 6 kips and Q = 7 kips.
The boom OA carries a load P and is supported by two cables as shown. Knowing that the tension is 510 N in cable AB and 765 N in cable AC, determine the magnitude and direction of the resultant of
Assuming that in Prob. 2.95 the tension is 765 N in cable AB and 510 N in cable AC, determine the magnitude and direction of the resultant of the forces exerted at A by the two cables.
For the tree of Prob. 2.73, knowing that the tension in cable AB is 760 lb and that the resultant of the forces exerted at A by cables AB and AC lies in the yz plane, determine(a) The tension in
For the tree of Prob. 2.73, knowing that the tension in cable AC is 980 lb and that the resultant of the forces exerted at A by cables AB and AC lies in the yz plane, determine (a) The tension in AB,
Problem 2.95: The boom OA carries a load P and is supported by two cables as shown. Knowing that the tension is 510 N in cable AB and 765 N in cable AC, determine the magnitude and direction of the
For the transmission tower of Prob. 2.89, determine the tensions in cables AB and AD knowing that the tension in cable AC is 1770 N and that the resultant of the forces exerted by the three cables at
A container is supported by three cables that are attached to a ceiling as shown. Determine the weight W of the container knowing that the tension in cable AB is 6 kN.
A container is supported by three cables that are attached to a ceiling as shown. Determine the weight W of the container knowing that the tension in cable AD is 4.3 kN.
Three cables are used to tether a balloon as shown. Determine the vertical force P exerted by the balloon at A knowing that the tension in cable AB is 259 N.
Three cables are used to tether a balloon as shown. Determine the vertical force P exerted by the balloon at A knowing that the tension in cable AC is 444 N.
The support assembly shown is bolted in place at B, C, and D and supports a downward force P at A. Knowing that the forces in members AB, AC, and AD are directed along the respective members and that
The support assembly shown is bolted in place at B, C, and D and supports a downward force P at A. Knowing that the forces in members AB, AC, and AD are directed along the respective members and that
A transmission tower is held by three guy wires attached to a pin at A and anchored by bolts at B, C, and D. If the tension in wire AB is 3.6 kN, determine the vertical force P exerted by the tower

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