Vector Mechanics For Engineers12th EditionBEER Publisher: MCGISBN: 9781259977237
Vector Mechanics For Engineers
Solutions for Vector Mechanics For Engineers
Problem 13.CQ1P:
Block A is traveling with a speed v0 on a smooth surface when the surface suddenly becomes rough...Problem 13.1P:
A 400-kg satellite is placed in a circular orbit 6394 km above the surface of the earth. At this...Problem 13.4P:
A 500-kg communications satellite is in a circular geosynchronous orbit and completes one revolution...Problem 13.8P:
A 2000-kg automobile starts from rest at point A on a 6° incline and coasts through a distance of...Problem 13.9P:
An athlete is holding 30 lb of weights at a height of 6 inches above the stack as shown. To lower...Problem 13.10P:
A 1.4-kg model rocket is launched vertically from rest with a constant thrust of 25 N until the...Problem 13.11P:
Packages are thrown down an incline at A with a velocity of 1 m/s. The packages slide along the...Problem 13.12P:
A package is thrown down an incline at A with a velocity of 1 m/s. The package slides along the...Problem 13.13P:
Boxes are transported by a conveyor belt with a velocity v0 to a fixed incline at A where they slide...Problem 13.14P:
Boxes are transported by a conveyor belt with a velocity v0 to a fixed incline at A where they slide...Problem 13.15P:
A 1200-kg trailer is hitched to a 1400-kg car. The car and trailer are travelling at 72 km/h when...Problem 13.16P:
A trailer truck enters a 2 percent uphill grade travelling at 72 km/h and reaches a speed of 108...Problem 13.17P:
The subway train shown is traveling at a speed of 30 mi/h when the brakes are fully applied on the...Problem 13.18P:
The subway train shown is travelling at a speed of 30 mi/h when the brakes are fully applied on the...Problem 13.20P:
The system shown is at rest when a constant 30-lb force is applied to collar B. (a) If the force...Problem 13.21P:
Car B is towing car A at a constant speed of 10 m/s on an uphill grade when the brakes of car A are...Problem 13.22P:
The motor applies a constant downward force F=1050 lb to the cable used to raise the 4000-lb...Problem 13.23P:
The motor applies a constant downward force F to the cable used to raise the 4000-lb elevator E...Problem 13.24P:
Two blocks A and B, of mass 4 kg and 5 kg. respectively, are connected by a cord that passes over...Problem 13.25P:
Four 15-kg packages are placed as shown on a conveyor belt which is disengaged from its drive motor....Problem 13.26P:
A 3-kg block rests on top of a 2-kg block supported by, but not attached to. a spring of constant 40...Problem 13.28P:
People with mobility impairments can gain great health and social benefits from participating in...Problem 13.29P:
A 7.5-lb collar is released from rest in the position shown, slides down the inclined rod. and...Problem 13.30P:
A 10-kg block is attached to spring A and connected to spring B by a cord and pulley. The block is...Problem 13.31P:
A 5-kg collar A is at rest on top of, but not attached to, a spring with stiffness k1=400 N/m when a...Problem 13.32P:
A 0.75-lb brass (nonmagnetic) block A and a 0.5-lb steel magnet B are in equilibrium in a brass tube...Problem 13.33P:
An uncontrolled automobile travelling at 65 mph strikes squarely a highway crash cushion of the type...Problem 13.34P:
Two types of energy-absorbing fenders designed to be used on a pier are statically loaded. The...Problem 13.35P:
Nonlinear springs are classified as hard or soft, depending upon the curvature of their...Problem 13.36P:
A meteor starts from rest at a very great distance from the earth. Knowing that the radius of the...Problem 13.37P:
Express the acceleration of gravity gh, at an altitude h above the surface of the earth in terms of...Problem 13.39P:
The sphere at A is given a downward velocity v0 of magnitude 5 m/s and swings in a vertical plane at...Problem 13.40P:
The sphere at Ais given a downward velocity v0and swings in a vertical circle of radius l and centre...Problem 13.41P:
A bag is gently pushed off the top of a wall at A and swings in a vertical plane at the end of a...Problem 13.42P:
A roller coaster starts from rest at A, rolls down the track to B, describes a circular loop of...Problem 13.43P:
In Prob. 13.42. determine the range of values of h for which the roller coaster will not leave the...Problem 13.44P:
A small block slides at a speed v on a horizontal surface. Knowing that h=0.9 m. determine the...Problem 13.45P:
A small block slides at a speed v=8 ft/s on a horizontal surface at a height h=3 ft above the...Problem 13.46P:
A chairlift is designed to transport 1000 skiers per hour from the base A to the summit B. The...Problem 13.48P:
The velocity of the lift of Prob. 13.47 increases uniformly from zero to its maximum value at...Browse All Chapters of This Textbook
Chapter 11 - Kinematics Of ParticlesChapter 11.1 - Rectilinear Motion Of ParticlesChapter 11.2 - Special Cases And Relative MotionChapter 11.3 - Graphical SolutionsChapter 11.4 - Curvilinear Motion Of ParticlesChapter 11.5 - Non-rectangular ComponentsChapter 12 - Kinetics Of Particles: Newton’s Second LawChapter 12.1 - Newton's Second Law And Linear MomentumChapter 12.2 - Angular Momentum And Orbital MotionChapter 12.3 - Applications Of Central-force Motion
Chapter 13 - Kinetics Of Particles: Energy And Momentum MethodsChapter 13.1 - Work And EnergyChapter 13.2 - Conservation Of EnergyChapter 13.3 - Impulse And MomentumChapter 13.4 - ImpactsChapter 14 - Systems Of ParticlesChapter 14.1 - Applying Newton's Second Law And Momentum Principles To Systems Of ParticlesChapter 14.2 - Energy And Momentum Methods For A System Of ParticlesChapter 14.3 - Variable Systems Of ParticlesChapter 15 - Kinematics Of Rigid BodiesChapter 15.1 - Translations And Fixed-axis RotationChapter 15.2 - General Plane Motion: VelocityChapter 15.3 - Instantaneous Center Of RotationChapter 15.4 - General Plane Motion: AccelerationChapter 15.5 - Analyzing Motion With Respect To A Rotating FrameChapter 15.6 - Motion Of A Rigid Body In SpaceChapter 15.7 - Motion Relative To A Moving Reference FrameChapter 16 - Plane Motion Of Rigid Bodies: Forces And AccelerationsChapter 16.1 - Kinetics Of A Rigid BodyChapter 16.2 - Constrained Plane MotionChapter 17 - Plane Motion Of Rigid Bodies: Energy And Momentum MethodsChapter 17.1 - Energy Methods For A Rigid BodyChapter 17.2 - Momentum Methods For A Rigid BodyChapter 17.3 - Eccentric ImpactChapter 18 - Kinetics Of Rigid Bodies In Three DimensionsChapter 18.1 - Energy And Momentum Of A Rigid BodyChapter 18.2 - Motion Of A Rigid Body In Three DimensionsChapter 18.3 - Motion Of A GyroscopeChapter 19 - Mechanical VibrationsChapter 19.1 - Vibrations Without DampingChapter 19.2 - Free Vibrations Of Rigid BodiesChapter 19.3 - Applying The Principle Of Conservation Of EnergyChapter 19.4 - Forced VibrationsChapter 19.5 - Damped VibrationsChapter B - Mass Moment Of Inertia
Book Details
A primary objective in a first course in mechanics is to help develop a student's ability first to analyze problems in a simple and logical manner and then to apply basic principles to their solutions. A strong conceptual understanding of these basic mech
Sample Solutions for this Textbook
We offer sample solutions for Vector Mechanics For Engineers homework problems. See examples below:
Chapter 11.1, Problem 11.12PChapter 11.1, Problem 11.19PChapter 11.1, Problem 11.29PChapter 11.2, Problem 11.57PChapter 11.2, Problem 11.60PGiven: The particle starts from origin with an initial displacement of x0=−48 ft. Concept used: The...Chapter 11.3, Problem 11.76PChapter 11.4, Problem 11.90PChapter 11.4, Problem 11.91P
Chapter 11.4, Problem 11.92PGiven information: Initial velocity v0=75 m/s Rocket lands at distance d=100 m from point A For a...Given information: Time t=3 s r=3+0.5cos(4θ) θ=−π4t2+πt Concept used: Velocity vr=r˙, vθ=rθ˙...Given information: Length of rope is defined as, r=600−18t5/2 Constant velocity of the boat is 15 kn...Given information: R=A(t+1)θ=Btz=Ct(t+1) The cylindrical co-ordinates of velocity are defined as:...Given information: According to problem 11.95 : r=(Rtcosωnt)i+ctj+(Rtsinωnt)k The first derivative...Given information: According to problem 11.96, r=(Atcost)i+(A t2+1)j+(Btsint)k A=3, B=1 The first...Chapter 11, Problem 11.182RPGiven information: Distance between A and B is equal to 5 m r¨=−1.0 m/s2 θ¨=−0.5 rad/s2 Velocity of...Chapter 12.1, Problem 12.18PChapter 12.1, Problem 12.19PGiven information: Mass of block A =10 kg Mass of block B=C =5 kg Time t=2sec Let the position...Given information: Weight of panel =40 lb Weight of the counterweight =25 lb First, we draw the free...Chapter 12.1, Problem 12.31PGiven: ρ=150 mm=0.15 m m=0.5 kg First of all, a=an=v2ρ Where, ρ=150 mm=0.15 m ←+∑Fx=ma :...Chapter 12.1, Problem 12.47PChapter 12.1, Problem 12.66PChapter 12.1, Problem 12.70PGiven information: ms = 500 kgh = 4500 kmrm = 1737 kmmm = 0.01230 me Formula used: F = GMmr2...Chapter 12.2, Problem 12.91PChapter 12.3, Problem 12.105PGiven information: rA=9.3×103mi vA=20,000ft/s rC=5600mi MVenus=0.82MEarth If the trajectory is an...Given information: rA=202×106mi rB=92×106mi rA'=164.5×106mi rB'=85.5×106mi MSun=332.8×103×MEarth If...Chapter 12, Problem 12.122RPChapter 12, Problem 12.133RPChapter 13.1, Problem 13.12PChapter 13.1, Problem 13.22PChapter 13.1, Problem 13.42PChapter 13.1, Problem 13.43PChapter 13.1, Problem 13.45PConsider the diagram of the suspended ball by an inextensible cord. Let us consider at point “A” as...Given: V(x,y,z)=−(x2+y2+z2)1/2 x component: Px=−∂V∂x Px=−∂[−(x2+y2+z2)1/2]∂x Px=x(x2+y2+z2)−1/2 y...Given information: h1 = 225 miϕB = 60oh2 = 40 mi Formula used: GM = gR2 T = 12mv2 V = −GMmr L = mvr...Given information: The altitude of the space vehicle at point A, ha = 225mi. The altitude of the...Given information: Max altitude αR Initial velocity v0 Radius of planet R Launch angle ϕ0 Escape...Given information: Radius rmin Speed vmax Planet mass M Concept used: Following formulae will be...Chapter 13.3, Problem 13.145PGiven information: Weight of hammer is 1.5 lb. The velocity of the rivet is 20 ft/s. “A force acting...Given information: Weight of the bullet, mB=0.5 oz Weight of A and C, mA=mC=3 lb Coefficient of...Given information: Speed of the ball =vx=2 →ms−1 Mass of the ball =m=75g Mass of the plate =M=400g...Given information: Mass of each bumper car is equal to 200 kg. Riders A, B and C have mass of 40 kg,...Given information: α=45° Rock A falls from a distance of 20 m. h=30 md=20 m The total linear...Chapter 13.4, Problem 13.182PChapter 13.4, Problem 13.188PChapter 13, Problem 13.190RPChapter 13, Problem 13.201RPChapter 14.1, Problem 14.10PChapter 14.1, Problem 14.14PChapter 14.1, Problem 14.30PChapter 14.2, Problem 14.53PChapter 14.2, Problem 14.54PChapter 14.3, Problem 14.74PChapter 14.3, Problem 14.75PChapter 14.3, Problem 14.80PChapter 14.3, Problem 14.100PChapter 14, Problem 14.105RPChapter 14, Problem 14.116RPChapter 15.1, Problem 15.3PChapter 15.1, Problem 15.24PChapter 15.1, Problem 15.26PChapter 15.2, Problem 15.45PGiven information: (vA)x=12 in/s(vB)x=− 4 in/s(vC)y=−24 in/s The relative velocity of A with respect...Chapter 15.2, Problem 15.59PChapter 15.3, Problem 15.84PGiven information: At the instant shown, the velocity of collar D is 1.6 m s−1, upward. Concept...Chapter 15.3, Problem 15.97PChapter 15.4, Problem 15.128PGiven information: Angular velocity of bar AB is 10 rad/s clockwise. Angular acceleration of bar AB...Given information: Angular velocity of bar AB is 10 rad/s clockwise. Angular acceleration of bar AB...Chapter 15.4, Problem 15.135PGiven information: Constant angular velocity of rod AE is 6 rad/s clockwise. The constant relative...Chapter 15.5, Problem 15.173PGiven information: Angular velocity of rod AP is 5 rad/s counter clockwise. Angular acceleration of...Chapter 15.6, Problem 15.202PChapter 15.6, Problem 15.218PChapter 15.6, Problem 15.219PChapter 15.7, Problem 15.244PChapter 15.7, Problem 15.245PChapter 15, Problem 15.248RPChapter 15, Problem 15.257RPChapter 16.1, Problem 16.36PChapter 16.1, Problem 16.37PChapter 16.1, Problem 16.39PChapter 16.1, Problem 16.44PChapter 16.1, Problem 16.45PChapter 16.1, Problem 16.71PChapter 16.1, Problem 16.72PChapter 16.1, Problem 16.74PGiven: Weight of rod AB is 2 lb. Weight of rod BC is 4 lb. Angular velocity is 10 rad/s. Angle θ is...Chapter 16.2, Problem 16.116PGiven information: Pole length, L=20ft Weight, W=100lb Angular velocity, ω=1rad/s Horizontal force,...Given information: Rod BC mass, m = 6kg Disk mass, m = 10kg Rod CD mass, m = 5kg Disk AB velocity...Chapter 16.2, Problem 16.136PChapter 16.2, Problem 16.138PChapter 16.2, Problem 16.141PGiven information: The attached rod A mass is=0.8kg And length is=160mm Rod BP mass is=1kg Length...Chapter 16, Problem 16.153RPGiven information: Cylinder weight with hole = 16 lb Cylinder weight without hole = 15 lb Angular...Chapter 17.1, Problem 17.11PChapter 17.1, Problem 17.12PGiven information: Mass of block (mb) = 15kg. Mass of cylinder (ma) = 5kg. Radius of gyration (k) =...Chapter 17.1, Problem 17.35PChapter 17.1, Problem 17.45PGiven: Wheel is initially at rest and it is relased from an indined surface from rest. Wheel radius...Given: Mass of cylinder, m = 6 kg Radius of cylinder, r = 125 mm = 0.125 m Angular velocity of...Given information: Mass of coller A = mA=1.8 kg. Mass of coller B = mB=0.7 kg. The velocity of...Given: The weight of collar = ωc=4lb=1.814kg Mass of ring = ωr=6lb=2.721kg The radius of the ring,...Chapter 17.3, Problem 17.111PChapter 17.3, Problem 17.118PChapter 17.3, Problem 17.120PGiven: Mass of block is m, mass of the disk is M and Falling distance is h. Concept used:...Chapter 17, Problem 17.135RPGiven information:...Given information: The mass of each L-shaped arm is 5 kg, speed of assembly is 360 rpm. The below...Given information: The mass of the each plate is 4 kg and the corresponding impulse is −(2.4 N⋅s)k....Given information: The mass of the each plate is 4 kg and the corresponding impulse is (2.4 N⋅s)j....Given information: Mass of circular plate is m, falling velocity of the plate is v¯0, impact is...Given information: The weight of the space probe is 3000 lb, the weight of the meteorite is 5 oz,...Given information: The total mass is 600 g, the distance between the bearing is 150 mm and the...Given information: The total mass is 600 g, the distance between the bearing is 150 mm, the time is...Given information: Angular velocity of disk in z-direction is 60 rad/s, radius of the disk is 3 in...Given information: Angular velocity of disk in z-direction is 60 rad/s, radius of the disk is 3 in...Chapter 18.2, Problem 18.104PGiven information: The below figure represent the schematic diagram of the system. Figure-(1) Write...Chapter 18.3, Problem 18.129PChapter 18.3, Problem 18.130PGiven information: The height of the solid cone is 180 mm, the radius of the circular cone is 60 mm,...Write the expression for the force. F=mrω2 Here, the mass is m, the speed is ω and the radius is r....Chapter 18, Problem 18.150RPChapter 19.1, Problem 19.10PGiven information: Mass of block m=3 lb Spring constant k=2 lb/in. Velocity v=90 in./s For simple...Given information: Angle θ=5° Length of cord l=40 in. The equation of a simple harmonic motion in...Given information: Weight of rod AB = 9Kg Spring constant kA=kB=850 Ν/m The free body diagram of the...Given information: Weight of rod W=15 lb Weight of disc Wdisc=12 lb Spring constant k=30 lb/in.=360...Given information: Mass of collar mC=1 Κg Mass of rod mR=3 Κg Length of rod L=750 mm The forces...Given information: The mass of gear C is m, and the mass of gear A is 4m. Calculations: For the...Given information: The mass of gear C is m, and the mass of gear A is 4m. Calculations: For the...Given information: Mass of the hollow-spherical shell is 500-g. Radius of the spherical shell is 80...Given: Mass of attached sphere is 2 kg. Spring constant is 3.6 kN/m. Vertical deflection is...Given: Amplitude of vibration when 1 collar is on the spring is 15 mm. Amplitude of vibration when 2...Given information: The system is underdamped, the time period between two successive points is...Given information: The mass of the block A is 2.4 kg, the mass of the block B is 0.9 kg, the spring...Given information: The weight of two counter rotating eccentric mass exciters is 14 oz, the radius...Given information: The weight of the wheel is 47 lb, the torsional spring constant of the wire is...Given information: The mass of the motor is 400 kg, the constant of the spring is 150 kN/m, the...Chapter B, Problem B.1PGiven information: The diameter of the formed steel wire is 18 in and the specific weight of the...Chapter B, Problem B.56PGiven information: The diameter of the formed steel wire is 18 in, unit vector is (−3i−6j+2k)/7 and...Chapter B, Problem B.71PGiven information: The thin bent plate with uniform density, the weight of both the plates is W, the...Chapter B, Problem B.73PGiven information: The mass per unit length of the steel is 0.056 kg/m. Draw the diagram for the...
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Vector Mechanics For Engineers
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