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physics
mechanics
Vector Mechanics for Engineers Statics and Dynamics 11th edition Ferdinand Beer, E. Russell Johnston Jr., David Mazurek, Phillip Cornwell, Brian Self - Solutions
Determine the x and y components of each of the forces shown.
A hoist trolley is subjected to the three forces shown. Knowing that α = 40°, determine(a) The required magnitude of the force P if the resultant of the three forces is to be vertical,(b) The corresponding magnitude of the resultant.
Knowing that α = 55° 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 loaded as shown. Knowing that P = 360 N, determine the tension(a) In cable AC,(b) In cable BC.
Two cables tied together at C are loaded as shown. Knowing that the maximum allowable tension in each cable is 800 N, determine(a) The magnitude of the largest force P that can be applied at C,(b) The corresponding value of α.
The end of the coaxial cable AE is attached to the pole AB, which is strengthened by the guy wires AC and AD. Knowing that the tension in wire AC is 120 lb, determine(a) The components of the force exerted by this wire on the pole,(b) The angles θx, θy, and θz that the force forms with the
Knowing that the tension in cable AC is 2130 N, determine the components of the force exerted on the plate at C.
Find the magnitude and direction of the resultant of the two forces shown knowing that P = 600 N and Q = 450 N.
A container of weight W is suspended from ring A. Cable BAC passes through the ring and is attached to fixed supports at B and C. Two forces P = Pi and Q = Qk are applied to the ring to maintain the container in the position shown. Knowing that W = 376 N, determine P and Q.
Collars A and B are connected by a 25-in.-long wire and can slide freely on frictionless rods. If a 60-lb force Q is applied to collar B as shown, determine(a) The tension in the wire when x = 9 in.,(b) The corresponding magnitude of the force P required to maintain the equilibrium of the system.
Collars A and B are connected by a 25-in.-long wire and can slide freely on frictionless rods. Determine the distances x and z for which the equilibrium of the system is maintained when P = 120 lb and Q = 60 lb.
For the hook support of Prob. 2.10, determine by trigonometry(a) The magnitude and direction of the smallest force P for which the resultant R of the two forces applied to the support is horizontal,(b) The corresponding magnitude of R.
For the hook support shown, determine by trigonometry the magnitude and direction of the resultant of the two forces applied to the support.
Solve Prob. 2.1 by trigonometry.Problem 2.1Two forces are applied as shown to a hook. Determine graphically the magnitude and direction of their resultant using(a) The parallelogram law,(b) The triangle rule.
Solve Problem 2.4 by trigonometry.Problem 2.4Two structural members B and C are bolted to bracket A. Knowing that both members are in tension and that P = 6 kips and Q = 4 kips, determine graphically the magnitude and direction of the resultant force exerted on the bracket using(a) The
For the stake of Prob. 2.5, knowing that the tension in one rope is 120 N, determine by trigonometry the magnitude and direction of the force P so that the resultant is a vertical force of 160 N.Problem 2.5A stake is being pulled out of the ground by means of two ropes as shown. Knowing that α =
Two forces P and Q are applied to the lid of a storage bin as shown. Knowing that P = 48 N and Q = 60 N, determine by trigonometry the magnitude and direction of the resultant of the two forces.
Two forces are applied as shown to a bracket support. Determine graphically the magnitude and direction of their resultant using(a) The parallelogram law,(b) The triangle rule.
Two forces P and Q are applied to the lid of a storage bin as shown. Knowing that P = 60 N and Q = 48 N, determine by trigonometry the magnitude and direction of the resultant of the two forces.
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 BC exerts on member AC a force P directed along line BC. Knowing that P must have a 325-N horizontal component, determine(a) The magnitude of the force P,(b) Its vertical component.
The hydraulic cylinder BC exerts on member AB a force P directed along line BC. Knowing that P must have a 600-N component perpendicular to member AB, determine(a) The magnitude of the force P,(b) Its component along line AB.
Cable AC exerts on beam AB a force P directed along line AC. Knowing that P must have a 350-lb vertical component, determine(a) The magnitude of the force P,(b) Its horizontal component.
The hydraulic cylinder BD exerts on member ABC a force P directed along line BD. Knowing that P must have a 750-N component perpendicular to member ABC, determine(a) The magnitude of the force P,(b) Its component parallel to ABC.
Two structural members B and C are bolted to bracket A. Knowing that both members are in tension and that P = 10 kN and Q = 15 kN, determine graphically the magnitude and direction of the resultant force exerted on the bracket using(a) The parallelogram law,(b) The triangle rule.
The guy wire BD exerts on the telephone pole AC a force P directed along BD. Knowing that P must have a 720-N component perpendicular to the pole AC, determine(a) The magnitude of the force P,(b) Its component along line AC.
Determine the resultant of the three forces of Problem 2.21.Problem 2.21Determine the x and y components of each of the forces shown.
Determine the resultant of the three forces of Problem 2.23.Problem 2.23Determine the x and y components of each of the forces shown.
Determine the resultant of the three forces of Problem 2.24.Problem 2.24Determine the x and y components of each of the forces shown.
Determine the resultant of the three forces of Problem 2.22.Problem 2.22Determine the x and y components of each of the forces shown.
Knowing that the tension in rope AC is 365 N, determine the resultant of the three forces exerted at point C of post BC.
Knowing that α = 40°, determine the resultant of the three forces shown
For the collar of Problem 2.35, determine(a) The required value of α if the resultant of the three forces shown is to be vertical,(b) The corresponding magnitude of the resultant.
Two structural members B and C are bolted to bracket A. Knowing that both members are in tension and that P = 6 kips and Q = 4 kips, determine graphically the magnitude and direction of the resultant force exerted on the bracket using(a) The parallelogram law,(b) The triangle rule.
For the post of Prob. 2.36, determine (a) the required tension in rope AC if the resultant of the three forces exerted at point C is to be horizontal, (b) the corresponding magnitude of the resultant.
Determine(a) The required tension in cable AC, knowing that the resultant of the three forces exerted at Point C of boom BC must be directed along BC,(b) The corresponding magnitude of the resultant.
For the block of Problems 2.37 and 2.38, determine(a) The required value of α if the resultant of the three forces shown is to be parallel to the incline,(b) The corresponding magnitude of the resultant.
Two cables are tied together at C a nd are loaded as shown. Determine the tension(a) In cable C,(b) In cable BC.
Two cables are tied together at C and are loaded as shown. Knowing that α = 30°, determine the tension(a) In cable AC,(b) In cable BC.
Two cables are tied together at C and loaded as shown. Determine the tension(a) In cable AC,(b) In cable BC.
Two cables are tied together at C and are loaded as shown. Knowing that P = 500 N and α = 60°, determine the tension in(a) In cable AC,(b) 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.
Knowing that, α = 20° determine the tension(a) In cable AC,(b) In rope BC.
Two cables are tied together at C and are loaded as shown. Knowing that P = 300 N, determine the tension in cables AC and BC.
A stake is being pulled out of the ground by means of two ropes as shown. Knowing that α = 30°, determine by trigonometry(a) The magnitude of the force P so that the resultant force exerted on the stake is vertical,(b) The corresponding magnitude of the resultant.
Two cables are tied together at C and are loaded as shown. Determine the range of values of P for which both cables remain taut.
Two forces P and Q are applied as shown to an aircraft connection. Knowing that the connection is in equilibrium and that P = 500lb and Q= 650lb, determine the magnitudes of the forces exerted on the rods A and B.
Two forces P and Q are applied as shown to an aircraft connection. Knowing that the connection is in equilibrium and that the magnitudes of the forces exerted on rods A and B are FA = 750lb and FB = 400lb, determine the magnitudes of P and Q.
A sailor is being rescued using a boatswain's chair that is suspended from a pulley that can roll freely on the support cable ACB and is pulled at a constant speed by cable CD. Knowing that α = 30° and β = 10° and that the combined weight of the boatswain's chair and the sailor is 200
A sailor is being rescued using a boatswain's chair that is suspended from a pulley that can roll freely on the support cable ACB and is pulled at a constant speed by cable CD. Knowing that α = 25° and β = 15° and that the tension in cable CD is 20 lb, determine(a) The combined weight
For the cables of prob. 2.44, find the value of α for which the tension is as small as possible(a) In cable bc,(b) In both cables simultaneously. In each case determine the tension in each cable.
For the cables of Problem 2.46, it is known that the maximum allowable tension is 600 N in cable AC and 750 N in cable BC. Determine(a) The maximum force P that can be applied at C,(b) The corresponding value of α.
For the situation described in Figure P2.48, determine(a) The value of α for which the tension in rope BC is as small as possible,(b) The corresponding value of the tension.
A telephone cable is clamped at A to the pole AB. Knowing that the tension in the left-hand portion of the cable is T1 = 800 lb, determine by trigonometry(a) The required tension T2 in the right-hand portion if the resultant R of the forces exerted by the cable at A is to be vertical,(b) The
A movable bin and its contents have a combined weight of 2.8 kN. Determine the shortest chain sling ACB that can be used to lift the loaded bin if the tension in the chain is not to exceed 5 kN.
For W = 800 N, P = 200 N, and d = 600 mm, determine the value of h consistent with equilibrium.
Three forces are applied to a bracket as shown. The directions of the two 150-N forces may vary, but the angle between these forces is always 50°. Determine the range of values of α for which the magnitude of the resultant of the forces acting at A is less than 600 N.
A 200-kg crate is to be supported by the rope-and-pulley arrangement shown. Determine the magnitude and direction of the force P that must be exerted on the free end of the rope to maintain equilibrium.
A 600-lb 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 Problem 2.67, assuming that the free end of the rope is attached to the crate.PROBLEM 2.67A 600-lb crate is supported by several rope-and-pulley arrangements as shown. Determine for each arrangement the tension in the rope.
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 that 750 N, P = determine(a) The tension in cable ACB,(b) The magnitude of load Q.
A telephone cable is clamped at A to the pole AB. Knowing that the tension in the right-hand portion of the cable is T2 = 1000 lb, determine by trigonometry(a) The required tension T1 in the left-hand portion if the resultant R of the forces exerted by the cable at A is to be vertical,(b) The
An 1800-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. Determine(a) The tension in cable ACB,(b) The magnitude of load P.
Determine(a) The x, y, and z components of the 600-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 450-N force,(b) The angles θx, θy, and θz that the force forms with the coordinate axes.
A gun is aimed at a point A located 35° east of north. Knowing that the barrel of the gun forms an angle of 40° with the horizontal and that the maximum recoil force is 400 N, determine (a) The x, y, and z components of that force, (b) The values of the angles θx, θy, and θz defining the
Solve Problem 2.73, assuming that point A is located 15° north of west and that the barrel of the gun forms an angle of 25° with the horizontal. PROBLEM 2.73 A gun is aimed at a point A located 35° east of north. Knowing that the barrel of the gun forms an angle of 40° with the horizontal and
The angle between spring AB and the post DA is 30°. Knowing that the tension in the spring is 50 lb, determine(a) The x, y, and z components of the force exerted on the circular plate at B,(b) The angles θx, θy, and θz defining the direction of the force at B.
The angle between spring AC and the post DA is 30°. Knowing that the tension in the spring is 40 lb, determine(a) The x, y, and z components of the force exerted on the circular plate at C,(b) The angles θx, θy, and θz defining the direction of the force at C.
Cable AB is 65 ft long, and the tension in that cable is 3900 lb. Determine (a) the x, y, and z components of the force exerted by the cable on the anchor B, (b) the angles ,θx ,θy and θz defining the direction of that force.
Cable AC is 70 ft long, and the tension in that cable is 5250 lb. Determine(a) The x, y, and z components of the force exerted by the cable on the anchor C,(b) The angles θx, θy, and θz defining the direction of that force.
Determine the magnitude and direction of the force F = (240 N)i - (270 N)j + (680 N)k.
A disabled automobile is pulled by means of two ropes as shown. The tension in rope AB is 2.2 kN, and the angle α is 25°. Knowing that the resultant of the two forces applied at A is directed along the axis of the automobile, determine by trigonometry(a) The tension in rope AC,(b) The
Determine the magnitude and direction of the force F = (320 N)i + (400 N)j − (250 N)k.
A force acts at the origin of a coordinate system in a direction defined by the angles θx= 69.3° and θz = 57.9°. Knowing that the y component of the force is -174.0 lb, determine (a) The angle θy, (b) The other components and the magnitude of the force.
A force acts at the origin of a coordinate system in a direction defined by the angles θx= 70.9° and θy = 144.9°. Knowing that the z component of the force is -52.0 lb, determine (a) The angle θz, (b) The other components and the magnitude of the force.
A force F of magnitude 210 N acts at the origin of a coordinate system. Knowing that Fx = 80 N, θz = 151.2°, and Fy < 0, determine(a) The components Fy and Fz,(b) The angles θx and θy.
A force F of magnitude 1200 N acts at the origin of a coordinate system. Knowing that θx = 65°, θy = 40°, and Fz > 0, determine(a) The components of the force,(b) The angle θz.
For the frame and cable of Problem 2.85, determine the components of the force exerted by the cable on the support at E.PROBLEM 2.85A frame ABC is supported in part by cable DBE that passes through a frictionless ring at B. Knowing that the tension in the cable is 385 N, determine the components of
In order to move a wrecked truck, two cables are attached at A and pulled by winches B and C as shown. Knowing that the tension in cable AB is 2 kips, determine the components of the force exerted at A by the cable.
In order to move a wrecked truck, two cables are attached at A and pulled by winches B and C as shown. Knowing that the tension in cable AC is 1.5 kips, determine the components of the force exerted at A by the cable.
A rectangular plate is supported by three cables as shown. Knowing that the tension in cable AB is 408 N, determine the components of the force exerted on the plate at B.
A disabled automobile is pulled by means of two ropes as shown. Knowing that the tension in rope AB is 3 kN, determine by trigonometry the tension in rope AC and the value of α so that the resultant force exerted at A is a 4.8-kN force directed along the axis of the automobile.
A rectangular plate is supported by three cables as shown. Knowing that the tension in cable AD is 429 N, determine the components of the force exerted on the plate at D.
Find the magnitude and direction of the resultant of the two forces shown knowing that P = 300 N and Q = 400 N.
Find the magnitude and direction of the resultant of the two forces shown knowing that P = 400 N and Q = 300 N.
Knowing that the tension is 425 lb in cable AB and 510 lb in cable AC, determine the magnitude and direction of the resultant of the forces exerted at A by the two cables.
Knowing that the tension is 510 lb in cable AB and 425 lb in cable AC, determine the magnitude and direction of the resultant of the forces exerted at A by the two cables.
For the plate of Prob. 2.89, determine the tensions in cables AB and AD knowing that the tension in cable AC is 54 N and that the resultant of the forces exerted by the three cables at A must be vertical.
The boom OA carries a load P and is supported by two cables as shown. Knowing that the tension in cable AB is 183 lb and that the resultant of the load P and of the forces exerted at A by the two cables must be directed along OA, determine the tension in cable AC
For the boom and loading of Problem. 2.97, determine the magnitude of the load P.PROBLEM 2.97The boom OA carries a load P and is supported by two cables as shown. Knowing that the tension in cable AB is 183 lb and that the resultant of the load P and of the forces exerted at A by the two cables
Two cables are tied together at C and loaded as shown. Draw the free-body diagram needed to determine the tension in AC and BC.
The 60-lb collar A can slide on a frictionless vertical rod and is connected as shown to a 65-lb counterweight C. Draw the free-body diagram needed to determine the value of h for which the system is in equilibrium.
A chairlift has been stopped in the position shown. Knowing that each chair weighs 250 N and that the skier in chair E weighs 765 N, draw the free-body diagrams needed to determine the weight of the skier in chair F.
A container of mass m = 120 kg is supported by three cables as shown. Draw the free-body diagram needed to determine the tension in each cable
A 150-lb cylinder is supported by two cables AC and BC that are attached to the top of vertical posts. A horizontal force P, which is perpendicular to the plane containing the posts, holds the cylinder in the position shown. Draw the free-body diagram needed to determine the magnitude of P and the
A transmission tower is held by three guy wires attached to a pin at A and anchored by bolts at B, C, and D. Knowing that the tension in wire AB is 630 lb, draw the free-body diagram needed to determine the vertical force P exerted by the tower on the pin at A.
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