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engineering
civil engineering
Engineering Mechanics Statics 11 Edition Russell C. Hibbeler - Solutions
Determine the angle ? for connecting member A to the plate so that the resultant force FA and F n is directed horizontally to the right. Also, what is the magnitude of the resultant force?
The vertical force F acts downward at A on the two membered frame. Determine the magnitudes of the two components of F directed along the axes of AB and AC. Set F = 500N.
The vertical force F acts downward at A on the two membered frame. Determine the magnitudes of the two components of F directed along the axes of AB and AC. Set F = 350 lb.
The force acting on the gear tooth is F = 20 lb. Resolve this force into two components acting along the lines a andbb.
The components of force F acting along line a is require to be 30 lb. Determine the magnitude of F and its components along linebb.
The 500-lb force acting on the frame is to be resolved into two components acting along the axis of the struts AB and AC. If the components of force along AC are required to be 300 lb, directed from A to C, determine the magnitude of force acting along AB and the angle ? of the 500-lb force.
The post is to be pulled out of the ground using two ropes A and B. Rope A is subjected top a force of 600 lb and is directed at 60° from the horizontal. If the resultant force acting on the post is to be 1200 lb, vertically upward, determine the force T in rope B and the corresponding angle ?.
Determine the design angle ? (0? ? ? ? 90?) for strut AB so that the 400-lb horizontal force has a components of 500-lb directed from A towards C. what is the components of force acting along member AB? Take ? = 40?
Determine the design angle ? (0? ? ? ? 90?) between strut AB and AC so that the 400-lb horizontal force has a component of 600-lb which acts up to the left, in the same direction as from B towards A. Take ? = 30?.
The chisel exerts a force of 20 lb on the wood dowel rod which is turning in a lathe. Resolve this force into components acting (a) Along the n and y axes and (b) Along the x and taxes.
Two forces are applied at the end of a screw eye in order to remove the post. Determine the angle ? (0° ? ? ? 90°) and the magnitude of force F so that the resultant force acting on the post is directed vertically upward and has a magnitude of 750 N.
If F1 = F2 = 30 lb. determine the angles ? and ? so that the resultant force is directed along the positive x axis and has a magnitude of FR = 20 lb..
The truck is to be towed using two ropes. Determine the magnitude of forces FA and FB acting on each rope in order to develop a resultant force of 950 N directed along the positive x axis. Set ? = 50°.
The truck is to be towed using two ropes. If the resultant force is to be 950 N, directed along the positive x axis, determine the magnitudes of forces FA and FB acting on each rope and the angle ? of FB so that the magnitude of FB is a minimum. FA acts at 20° from the x axis as shown.
Determine the magnitude and direction of the resultant FR = F1 + F2 + F3 of the three forces by the first finding the resultant F? = F1 + F2 and then forming FR = F? + F3.
Determine the magnitude and direction of the resultant FR = F1 + F2 + F3 of the three forces by the first finding the resultant F? = F2 + F3 and then forming FR = F? + F1.
Resolve the 50-lb forces into components acting along (a) The x and y axes, and? (b) The x and y? axes.
The log is being towed by two tractors A and B. Determine the magnitude of the two towing forces FA and FB if it is required that the resultant force have a magnitude FR = 10 kN and be directed along the x axis. Set ? = 15?.
If the resultant FR of the two forces acting in the log is to be directed along the positive x axis and have a magnitude of 10 k N, determine the angle ? of the cable, attached to B such that the force FB in this cable is minimum. What is the magnitude of the force in each cable for this situation?
The beam is to be hoisted using two chains. Determine the magnitude of forces FA and FB acting on each chain in order to develop a resultant force of 600 N directed along the positive y-axis. Set ? = 45?.
The beam is to be hoisted using two chains. If the resultant force is to be 600 N, directed along the positive y axis, determine the magnitudes of forces FA and FB acting on each chain and the orientation ? of FB so that the magnitude of FB is a minimum. FA acts at 30? from the y axis as shown.
Three chains act in the bracket such that they create a resultant force having a magnitude of 500 lb. if two of the chains are subjected to know forces, as shown, determine the orientation ? of the third chain, magnitude of force F in this chain is a minimum. All the forces lie in the x-y plane.
Three cables pull on the pipe such that they create a resultant force having a magnitude of 900 lb. if two of the cables are subjected to know forces, as shown in the figure, determine the direction ? of the third cable so that the magnitude of force F in this cable is a minimum. All forces lie in
Determine the x and y components of the 800-lb force.
Determine the magnitude of the resultant forces and its direction, measured clockwise from the positive xaxis.
Determine the magnitude of force F so that the resultant FR of three forces is as small aspossible.
Determine the magnitude of the resultant force and its direction. Measured counterclockwise from the positive xaxis
Three forces acts on the bracket. Determine the magnitude and direction ? of F1 so that the resultant force is directed along the positive x´ axis and has a magnitude of 1 k N.
If F1 = 300 N and ? = 20?, determine the magnitude and direction, measured counterclockwise from the x? axis, of the resultant force of the three forces acting in the bracket.
Determine the magnitude and direction ? of F1 so that the resultant force is directed vertically upward and has a magnitude of 800 N.
Determine the magnitude and direction measured counterclockwise from the positive x axis of the resultant force of the three forces acting on the ring A. Take F1 = 500 N and ? = 20?.
Express F1 and F2 as Cartesianvectors.
Determine the magnitude of the resultant force and its direction measured counterclockwise from the positive xaxis.
Solve Problem by summing the rectangular or x, y components of the forces obtain the resultant force.
Solve Problem by summing the rectangular or x. y components of the forces to obtain the resultant force.
Determine the magnitude and orientation ? of FB so that the resultant force is directed along the positive y axis has a magnitude of 1500 N.
Determine the magnitude and orientation, measured counterclockwise from the positive y axis, of the resultant force acting on the bracket, if FB = 600 N and ? = 20?.
Determine the x and y components of F1 andF2.
Determine the magnitude of the resultant force and its direction, measured counterclockwise from the positive xaxis.
Determine the x and y components of each force acting on the gusset plate the bridge truss. Show that the resultant force iszero.
If ? = 60? and F = 20 k N, determine the magnitude of the resultant force and its direction measured clockwise from the positive x axis.
Determine the magnitude and direction ? of FA so that the resultant force is directed along the positive x axis and has a magnitude of 1250 N.
Determine the magnitude and direction, measured counterclockwise from the positive x axis, of the resultant force acting on the ring at O, if FA = 750 N and ? = 45?.
Express each of the three forces acting on the column in Cartesian vector form and compute the magnitude of the resultantforce.
The three concurrent forces acting on the screw eye product a resultant force FB = 0. If F2 ?= 2/3 F1 and F1 is to be 90? from F2 as shown, determine the required magnitude of F3 expressed in terms of F1 and the angle ?.
Determine the magnitude of force F so that the resultant FB of the three forces is as small as possible. What is the mini mum magnitude of FB?
Express each of the three forces acting on the bracket in Cartesian vector from with respect to the x and y axes. Determine the magnitude and direction ? of F1 so that the resultant force is directed along the positive x? axis and has a magnitude of FR = 600 N.
The three concurrent forces acting on the post produces a resultant force FR = 0. If F2 = ? F1, and F1 is to be 90? from F2 as shown, determine the required magnitude F3 expressed in terms of F1 and the angle ?.
Three forces act on the bracket. Determine the magnitude and orientation ? of F2 so that the resultant force is directed along the positive u axis and has a magnitude of 50 lb.
If F2 = 150 lb and ? = 55?, determine the magnitude and orientation, 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 the resultantforce?
Determine the magnitude and coordinate direction angles of F1 = {60i – 50j + 40k} N and F2 = {-40i – 85j + 30k} N. Sketch each force on an x, y, z reference.
The cable at the end of the crane boom exerts a force of 250 lb on the boom as shown. Express F as a Cartesianvector.
Determine the magnitude and coordinate direction angles of the forces F acting in the stake.
Determine the magnitude and the coordinate direction angles of the resultant force.
The stock S mounted in the lathe is subjected to a force of 60 N, which is caused by the die D. Determine the coordinate direction angle ? and express the force as a Cartesian vector.
Determine the magnitude and coordinate direction angles of the resultant force and sketch this vector on the coordinatesystem.
Specify the coordinate direction angles of F1 and F2 and express each force as a Cartesianvector.
The most is subjected to the three forces shown. Determine the coordinate angles ?1, ?1, ?1 of F1 so that the resultant force acting on the mast is FR = {350i} N.
The most is subjected to the three forces shown. Determine the coordinate angles ?1, ?1, ?1 of F1 so that the resultant force acting on the mast is zero.
The cables attached to the screw eye are subjected to the three forces shown. Express each force in Cartesian vector form and determine the magnitude and coordinate direction angles of the resultantforce.
The beam is subjected to the two forces shown. Express each force in Cartesian vector form and determine the magnitude and coordinate direction angles of the resultantforce.
Determine the magnitude and coordinate direction angles of the resultant force and sketch this vector on the coordinatesystems.
The two forces F1 and F2 acting at A have a resultant force of FR = {-100k} lb. determine the magnitude and coordinate direction angles of F2.
Determine the coordinate direction angles of the force F1, and indicate them on thefigure.
The bracket is subjected to the two forces shown. Express each force in Cartesian vector form and then determine the resultant force FR. Find the magnitude and coordinate direction angles of the resultantforce.
The pole is subjected to the force F, which has components acting along x, y, z axes as shown. If the magnitude of F is 3 k N, and ? = 30? and ? = 75?, determine the magnitudes of its three components.
The pole is subjected to the force F which has components F x = 1.5 k N and F z = 1.25 k N. If ? = 75?, determine the magnitude of F and F y.
A force F is applied at the top of the tower at A. if it acts in the direction shown such that one of its components lying in the shaded y-z plane has a magnitude of 80 lb, determine its magnitude F and coordinate direction angles ?, ?, ?.
Three forces act on the hook. If the resultant force FR has a magnitude and direction as shown, determine the magnitude and the coordinate angles of forceF3.
Determine the coordinate direction angles of F1 and FR.
The bolt is subjected to the force F, which has components acting along the x, y, z axes as shown. If the magnitude of F is 80 N, and ? = 60? and ? = 45?, determine the magnitudes of its components.
Two forces F1 and F2 act on the bolt. If the resultant force FR has magnitude of 50 lb and coordinate direction angles ? = 110? and ? = 80?, as shown, determine the magnitude of F2 and its coordinate direction angles.
If r1 = {3i – 4j + 3k} m, r2 = {4i – 5k} m, r3 = {3i - 2j + 5k} m, determine the magnitude and direction of r = 2r1 – r2 + 3r3.
Represent the position vector r acting from point A (3m, 5m, 6 m) to point B (5m, -2m, 1m) in Cartesian vector form. Determine its coordinate direction angles and fine the distance between points A and B.
A position vector extends from the origin to point A (2m, 3m, 6 m). Determine the angles α, β, γ which the tail of the vector makes the x, y, z axes, respectively.
Express the position vector r in Cartesian vector form; then determine its magnitude and coordinate direction angles.
Express the position vector r in Cartesian vector form; then determine its magnitude and coordinate directionangles.
Express force F as a Cartesian vector; then determine its coordinate directionangles.
Determine the length of member AB of the truss by the first establishing a Cartesian position vector from A to B then determining itsmagnitude.
At a given instant, the position of a plane at A and a train at B are measured relative to a radar antenna at O. Determine the distance d between A and B at this instant. To solve the problem, formulate a position vector, directed from A to B, and then determine itsmagnitude.
The hinged plate is supported by the cord AB. If the force in the cord is F = 340 lb, express this force, directed from A toward B, as a Cartesian vector. What is the length of thecord?
Determine the length of the crankshaft AB by the first formulating a Cartesian position vector A to B and then determining itsmagnitude.
Determine the lengths of wires AD, BD, and CD. The ring at D is midway between A andB.
Express force F as a Cartesian vector; then determine its coordinate directionangles.
Express force F as a Cartesian vector; then determine its coordinate directionangles.
Determine the magnitude and coordinate direction angles of the resultant force acting at pointA.
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 factors in Cartesian vectorform.
The two mooring cables exert forces on the stern of a ship as shown. Represent each force as a Cartesian vector and determine the magnitude and direction of theresultant.
Two tractors pull on the tree with the forces shown. Represent each force as a Cartesian vector and then determine the magnitude and coordinate direction angles of the resultantforce.
The guy wires are used to support the telephone pole. Represent the force in each wore in Cartesian vectorform.
Express each of the forces Cartesian vector form and determine the magnitude and coordinate direction angles of the resultantforce.
The cable attached to the tractor at B exerts a force of 350 lb on the framework. Express this force as a Cartesianvector.
The load at a creates a force of 60 lb in wire AB. Express this force as a Cartesian vector acting on A and directed toward B asshown.
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 his force as a Cartesianvector.
The cord exerts a force of F = {12i + 9j ? 8k) lb on the hook. If the cord is 8 ft long, determine the location x, y of the point at attachment B, and the height z of the hook.
The cord exerts a force of F = 30 lb on the book. If the cord is 8 ft long, z = 4 ft, and the x components of the force is F x = 25 lb, determine the location x, y of the point attachment B of the cord to theground.
Each of the four forces acting at E has a magnitude of 28 k N. Express each force as a Cartesian vector and determine the resultantforce.
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 cable attached to the shear-leg derrick, exert a force on the derrick of F = 350 lb. Express this force as a Cartesian vector.
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