Vector Mechanics for Engineers: Dynamics
11th Edition
ISBN: 9780077687342
Author: Ferdinand P. Beer, E. Russell Johnston Jr., Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 13.2, Problem 13.84P
To determine
(a)
To prove: The force F is a conservative force.
To determine
(b)
The given potential function is associated with the force F.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Given are 4 points in space: (x,y,z)A (3,2,3) B (0,1,4) C(2,4,1) D(0,5,4)The line of action of force vector F passes from point A to point B and has a magnitude of 40 kN. The line of action of force vector G passes from point C to point D and has a magnitude of 50 kN.1. What is the magnitude of the resultant force of force vectors F and G? Express your answer in unit of kN.
2. What is the resultant of the moment caused by force vectors F and G about the origin? Express your answer in unit of kN-m
3.
Given are 4 points in space: (x,y,x)
A(3,2,3) B(0,1,4) C(2,4,1) D(0,5,4)
The line of action of force vector F passes from point A to point B and has a magnitude of 20kN. The line of action of force vector G passes from point C to point D and has a magnitude of 35 kN.
1. What is the summation of forces along the Z-axis?
2. What is the magnitude of the resultant force of force vectors F and G? Express your answer in the unit of kN.
3. What is the resultant of the moment caused by force vectors F and G about the origin? Express your answer in the unit of kN-m. (x,y,z) units are in meters.
4. What is the resultant of the moment caused by force vectors F and G about the x-axis? Express your answer in the unit of kN-m. (x,y,z) units are in meters.
5. What is the resultant of the moment caused by force vectors F and G about the y-axis? Express your answer in unit of kN-m. (x,y,z) units are in meters.
6. What is the resultant of the moment caused by force vectors F and G about the…
Given are 4 points in space: (x,y,x)
A(3,2,3) B(0,1,4) C(2,4,1) D(0,5,4)
The line of action of force vector F passes from point A to point B and has a magnitude of 20kN. The line of action of force vector G passes from point C to point D and has a magnitude of 35 kN.
1. What is the resultant of the moment caused by force vectors F and G about the z-axis? Express your answer in unit of kN-m. (x,y,z) units are in meters.
2. What is the shortest distance that can be measured from the origin to the line of action of the resultant of force vectors F and G? Express your answer in the unit of m.
Chapter 13 Solutions
Vector Mechanics for Engineers: Dynamics
Ch. 13.1 - Block A is traveling with a speed v0 on a smooth...Ch. 13.1 - A 400-kg satellite is placed in a circular orbit...Ch. 13.1 - A 1-Ib stone is dropped down the “bottomless pit”...Ch. 13.1 - A baseball player hits a 5.1-oz baseball with an...Ch. 13.1 - A 500-kg communications satellite is in a circular...Ch. 13.1 - Prob. 13.5PCh. 13.1 - In an ore-mixing operation, a bucket full of ore...Ch. 13.1 - Determine the maximum theoretical speed the may be...Ch. 13.1 - A 2000-kg automobile starts from rest at point A...Ch. 13.1 - A package is projected up a 15° incline at A with...
Ch. 13.1 - A 1.4-kg model rocket is launched vertically from...Ch. 13.1 - Packages are thrown down an incline at A with a...Ch. 13.1 - Packages are thrown down an incline at A with a...Ch. 13.1 - Boxes are transported by a conveyor belt with a...Ch. 13.1 - Boxes are transported by a conveyor belt with a...Ch. 13.1 - A 1200-kg trailer is hitched to a 1400-kg car. The...Ch. 13.1 - A trailer truck enters a 2 percent uphill grade...Ch. 13.1 - The subway train shown is traveling at a speed of...Ch. 13.1 - The subway train shown is travelling at a speed of...Ch. 13.1 - Blocks A and B weigh 25 Ib and 10 Ib,...Ch. 13.1 - The system shown is at rest when a constant 30-lb...Ch. 13.1 - Car B is towing car A at a constant speed of 10...Ch. 13.1 - The system shown is at rest when a constant 250-N...Ch. 13.1 - The system shown is at rest when a constant 250-N...Ch. 13.1 - Two blocks A and B, of mass 4 kg and 5 kg....Ch. 13.1 - Four 3-kg packages are held in place by friction...Ch. 13.1 - A 3-kg block rests on top of a 2-kg block...Ch. 13.1 - Solve Prob. 13.26. assuming that the 2-kg block is...Ch. 13.1 - People with mobility impairments can gain great...Ch. 13.1 - A 7.5-lb collar is released from rest in the...Ch. 13.1 - A 10-kg block is attached to spring A and...Ch. 13.1 - A 5-kg collar A is at rest on top of, but not...Ch. 13.1 - A piston of mass m and cross-sectional area A is...Ch. 13.1 - An uncontrolled automobile travelling at 65 mph...Ch. 13.1 - Two types of energy-absorbing fenders designed to...Ch. 13.1 - Nonlinear springs are classified as hard or soft,...Ch. 13.1 - A meteor starts from rest at a very great distance...Ch. 13.1 - Express the acceleration of gravity gh, at an...Ch. 13.1 - Prob. 13.38PCh. 13.1 - The sphere at A is given a downward velocity v0 of...Ch. 13.1 - The sphere at Ais given a downward velocity v0and...Ch. 13.1 - A bag is gently pushed off the top of a wall at A...Ch. 13.1 - A roller coaster starts from rest at A, rolls down...Ch. 13.1 - In Prob. 13.42. determine the range of values of h...Ch. 13.1 - A small block slides at a speed v on a horizontal...Ch. 13.1 - A small block slides at a speed v=8 ft/s on a...Ch. 13.1 - A chairlift is designed to transport 1000 skiers...Ch. 13.1 - Prob. 13.47PCh. 13.1 - The velocity of the lift of Prob. 13.47 increases...Ch. 13.1 - (a) A 120-lb woman rides a 15-lb bicycle up a...Ch. 13.1 - Prob. 13.50PCh. 13.1 - Prob. 13.51PCh. 13.1 - Prob. 13.52PCh. 13.1 - Prob. 13.53PCh. 13.1 - The elevator E has a weight of 6600 lb when fully...Ch. 13.2 - Two small balls A and B with masses 2m and m,...Ch. 13.2 - A small blocks is released from rest and slides...Ch. 13.2 - Prob. 13.55PCh. 13.2 - A loaded railroad car of mass m is rolling at a...Ch. 13.2 - A 750-g collar can slide along the horizontal rod...Ch. 13.2 - A 4-Ib collar can slide without friciton along a...Ch. 13.2 - A 4-Ib collar can slide without friction along a...Ch. 13.2 - A 500-g collar can slide without friction on the...Ch. 13.2 - For the adapted shuffleboard device in Prob 13.28....Ch. 13.2 - An elastic cable is to be designed for bungee...Ch. 13.2 - Prob. 13.63PCh. 13.2 - A 2-kg collar is attached to a spring and slides...Ch. 13.2 - Prob. 13.65PCh. 13.2 - A thin circular rod is supported in a vertical...Ch. 13.2 - Prob. 13.67PCh. 13.2 - A spring is used to stop a 50-kg package that is...Ch. 13.2 - Prob. 13.69PCh. 13.2 - Prob. 13.70PCh. 13.2 - Prob. 13.71PCh. 13.2 - Prob. 13.72PCh. 13.2 - A 10-lb collar is attached to a spring and slides...Ch. 13.2 - An 8-oz package is projected upward with a...Ch. 13.2 - If the package of Prob. 13.74 is not to hit the...Ch. 13.2 - A small package of weight W is projected into a...Ch. 13.2 - Prob. 13.77PCh. 13.2 - The pendulum shown is released from rest at A and...Ch. 13.2 - Prob. 13.79PCh. 13.2 - Prob. 13.80PCh. 13.2 - Prob. 13.81PCh. 13.2 - Prob. 13.82PCh. 13.2 - Prob. 13.83PCh. 13.2 - Prob. 13.84PCh. 13.2 - (a) Determine the kinetic energy per unit mass...Ch. 13.2 - Prob. 13.86PCh. 13.2 - Prob. 13.87PCh. 13.2 - How much energy per pound should be imparted to a...Ch. 13.2 - Knowing that the velocity of an experimental space...Ch. 13.2 - Prob. 13.90PCh. 13.2 - Prob. 13.91PCh. 13.2 - Prob. 13.92PCh. 13.2 - Prob. 13.93PCh. 13.2 - Prob. 13.94PCh. 13.2 - Prob. 13.95PCh. 13.2 - Prob. 13.96PCh. 13.2 - Prob. 13.97PCh. 13.2 - Prob. 13.98PCh. 13.2 - Prob. 13.99PCh. 13.2 - Prob. 13.100PCh. 13.2 - Prob. 13.101PCh. 13.2 - Prob. 13.102PCh. 13.2 - Prob. 13.103PCh. 13.2 - Prob. 13.104PCh. 13.2 - Prob. 13.105PCh. 13.2 - Prob. 13.106PCh. 13.2 - Prob. 13.107PCh. 13.2 - Prob. 13.108PCh. 13.2 - Prob. 13.109PCh. 13.2 - Prob. 13.110PCh. 13.2 - Prob. 13.111PCh. 13.2 - Prob. 13.112PCh. 13.2 - Prob. 13.113PCh. 13.2 - Prob. 13.114PCh. 13.2 - Prob. 13.115PCh. 13.2 - A spacecraft of mass mdescribes a circular orbit...Ch. 13.2 - Prob. 13.117PCh. 13.2 - Prob. 13.118PCh. 13.3 - A large insect impacts the front windshield of a...Ch. 13.3 - The expected damages associated with two types of...Ch. 13.3 - The initial velocity of the block in position A is...Ch. 13.3 - Prob. 13.F2PCh. 13.3 - Prob. 13.F3PCh. 13.3 - Car A was traveling west at a speed of 15 m/s and...Ch. 13.3 - Prob. 13.F5PCh. 13.3 - A 35.000-Mg ocean liner has an initial velocity of...Ch. 13.3 - Prob. 13.120PCh. 13.3 - A sailboat weighing 980 lb with its occupants is...Ch. 13.3 - A truck is hauling a 300-kg log out of a ditch...Ch. 13.3 - The coefficients of friction between the load and...Ch. 13.3 - Steep safety ramps are built beside mountain...Ch. 13.3 - Baggage on the floor of the baggage car of a...Ch. 13.3 - Prob. 13.126PCh. 13.3 - Prob. 13.127PCh. 13.3 - Prob. 13.128PCh. 13.3 - Prob. 13.129PCh. 13.3 - Prob. 13.130PCh. 13.3 - Prob. 13.131PCh. 13.3 - The system shown is at rest when a constant 150-N...Ch. 13.3 - Prob. 13.133PCh. 13.3 - Prob. 13.134PCh. 13.3 - A 60-g model rocket is fired vertically. The...Ch. 13.3 - Prob. 13.136PCh. 13.3 - A crash test is performed between an SUV A and a...Ch. 13.3 - Prob. 13.138PCh. 13.3 - Prob. 13.139PCh. 13.3 - A 1.6 2-oz golf ball is hit with a golf club and...Ch. 13.3 - The triple jump is a track-and-field event in...Ch. 13.3 - Prob. 13.142PCh. 13.3 - Prob. 13.143PCh. 13.3 - A 28-g steel-jacketed bullet is fired with a...Ch. 13.3 - A 25-ton railroad car moving at 2.5 mi/h is to be...Ch. 13.3 - At an intersection, car B was traveling south and...Ch. 13.3 - The 650-kg hammer of a drop-hammer pile driver...Ch. 13.3 - Prob. 13.148PCh. 13.3 - Prob. 13.149PCh. 13.3 - Prob. 13.150PCh. 13.3 - Prob. 13.151PCh. 13.3 - Prob. 13.152PCh. 13.3 - A 1-az bullet is traveling with velocity of 1400...Ch. 13.3 - In order to test the resistance of a chain to...Ch. 13.4 - A 5 -kg ball A strikes a 1-kg ball B that is...Ch. 13.4 - F6 A sphere with a speed v0 rebounds after...Ch. 13.4 - An 80-Mg railroad engine A coasting at 6.5 km/h...Ch. 13.4 - Prob. 13.F8PCh. 13.4 - Prob. 13.F9PCh. 13.4 - Block A of mass mA strikes ball B of mass mB with...Ch. 13.4 - Prob. 13.155PCh. 13.4 - Collars A and B, of the same mass m, are moving...Ch. 13.4 - One of the requirements for tennis balls to be...Ch. 13.4 - Prob. 13.158PCh. 13.4 - Prob. 13.159PCh. 13.4 - Packages in an automobile parts supply house are...Ch. 13.4 - Three steel spheres of equal mass are suspended...Ch. 13.4 - Prob. 13.162PCh. 13.4 - Prob. 13.163PCh. 13.4 - Two identical billiard balls can move freely on a...Ch. 13.4 - Prob. 13.165PCh. 13.4 - A 600-g ball A is moving with a velocity of...Ch. 13.4 - Two identical hockey pucks are moving on a hockey...Ch. 13.4 - Prob. 13.168PCh. 13.4 - Prob. 13.169PCh. 13.4 - The Mars Pathfinder spacecraft used large airbags...Ch. 13.4 - A girl throws a ball at an inclined wall from a...Ch. 13.4 - Rockfalls can cause major damage to roads and...Ch. 13.4 - Prob. 13.173PCh. 13.4 - cars of the same mass run head-on into each other...Ch. 13.4 - Prob. 13.175PCh. 13.4 - Prob. 13.176PCh. 13.4 - After having been pushed by an airline employee,...Ch. 13.4 - Blocks A and B each weigh 0.8 lb and block C...Ch. 13.4 - A 5-kg sphere is dropped from a height of y=2 m to...Ch. 13.4 - Prob. 13.180PCh. 13.4 - Prob. 13.181PCh. 13.4 - Block A is released from rest and slides down the...Ch. 13.4 - Prob. 13.183PCh. 13.4 - A test machine that kicks soccer balls has a 5-lb...Ch. 13.4 - Prob. 13.185PCh. 13.4 - Prob. 13.186PCh. 13.4 - A 2-kg sphere moving to the right with a velocity...Ch. 13.4 - When the rope is at an angle of a=30 , the 1-Ib...Ch. 13.4 - Prob. 13.189PCh. 13 - A 32,000-Ib airplane lands on an aircraft carrier...Ch. 13 - A 2-oz pellet shot vertically from a spring-loaded...Ch. 13 - A satellite describes an elliptic orbit about a...Ch. 13 - Prob. 13.193RPCh. 13 - Prob. 13.194RPCh. 13 - A 300-g block is released from rest after a spring...Ch. 13 - A kicking-simulation attachment goes on the front...Ch. 13 - A 300-g collar A is released from rest, slids down...Ch. 13 - Prob. 13.198RPCh. 13 - Prob. 13.199RPCh. 13 - Prob. 13.200RPCh. 13 - The 2-Ib ball at A is suspended by an inextensible...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Given are 4 points in space: (x,y,x) A(3,2,3) B(0,1,4) C(2,4,1) D(0,5,4) The line of action of force vector F passes from point A to point B and has a magnitude of 20kN. The line of action of force vector G passes from point C to point D and has a magnitude of 35 kN. 1. What is the resultant of the moment caused by force vectors F and G about the x-axis? Express your answer in the unit of kN-m. (x,y,z) units are in meters. 2. What is the resultant of the moment caused by force vectors F and G about the y-axis? Express your answer in unit of kN-m. (x,y,z) units are in meters. 3. What is the resultant of the moment caused by force vectors F and G about the z-axis? Express your answer in unit of kN-m. (x,y,z) units are in meters.arrow_forwardGiven are 4 points in space: (x,y,z) A (3,2,3) B (0,1,4) C(2,4,1) D(0,5,4) The line of action of force vector F passes from point A to point B and has a magnitude of 20 kN. The line of action of force vector G passes from point C to point D and has a magnitude of 35 kN. 11. What is the resultant of the moment caused by force vectors F and G about the x-axis? Express your answer in unit of kN-m 12. What is the resultant of the moment caused by force vectors F and G about the y-axis? Express your answer in unit of kN-m 13.What is the resultant of the moment caused by force vectors F and G about the Z-axis? Express your answer in unit of kN-marrow_forwardq2aarrow_forward
- A ring is attached with 3 ropes. A force of P=250 lb is applied to the ring. The direction of the rope D is defined by 3 directions from each axis x, y and z: a = 80°, B = 45° and y = 30°. The direction of the rope C is defined by 2 directions from a plane and an axis: 0 70° and 8 = 20°. = X D B B d A 0 S What is the cartesian vector form of the tension Tp ?arrow_forwardA 10 N force is applied at point B as shown. The coordinates for A, B, and C are: A (3, 0, 4); B (0, 2, -3); and C (3, 0, 0) m a) What is the unit vector in the direction of the force? b) What are the x, y, and z components of the force? see for question carrow_forward4. Consider the right-handed coordinate system below. The force F = 800 N has its line of action passing from A to B. Express this force as a Cartesian vector. z C 4 m F = 800 N 5 m. 3 m x B 800 A) (5₁-5,-7) N √99 (-5,5,7) N 800 B) 2 m 4 m D) 800 800 √√99 m (-5₁-5₁-7) N (5,5,-7) Narrow_forward
- Q4\ The location of the resultant force of the system below with respect to point C is: 200 #3 #3 360 3. # 2 200 %23 220arrow_forwardQ4/ Determine the magnitude of the vector V and the angle e which vector V makes with positive x-axis? V 14 units V1 18 units %3D 60arrow_forwardFind the work done by the vector force field F(x, y) = xi+x*yj on an object as it moves in %3Darrow_forward
- Q 2: If A = 2 ỉ +4ỉ + k and B = 4 ỉ - 4j + 8 k Find the vector projection of A on to B and also B on to Å ?arrow_forwardIf the magnitudes of OA and OB are 10 mm and 20 mm, respectively, find (i) The vector form for vector OA. (ii) The vector form for vector OB. (iii) The coordinate direction angles of vector OA. X Z 60° 60° ↓ 120° A 45° 45° B yarrow_forwardQ1:/Find the magnitude and direction of the resultant of concurrent force system as shown in figure 4KN 6KN 45° 30arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY