## Solutions for Vector Mechanics For Engineers

Problem 11.CQ1P:

A bus travels the 100 miles between A and B at 50 mi/h and then another 100 miles between B and C at...Problem 11.CQ2P:

Two cars A and B race each other down a straight road. The position of each car as a function of...Problem 11.1P:

A snowboarder starts from rest at the top of a double black diamond hill. As she rides down the...Problem 11.2P:

The motion of a particle is defined by the relation x=t312t2+36t+30 , where x and t are expressed in...Problem 11.3P:

The vertical motion of mass A is defined by the relation x=cos(10t)0.1sin(10t) , where x and t are...Problem 11.4P:

A loaded railroad car is rolling at a constant velocity when it couples with a spring and dashpot...Problem 11.5P:

A group of hikers uses a GPS while doing a 40-mile trek in Colorado. A curve fit to the data shows...Problem 11.6P:

The motion of a particle is defined by the relation x=t36t2+9t+5 , where x is expressed in feet and...Problem 11.7P:

A girl operates a radio-controlled model ear in a vacant parking lot. The girl's position is at the...Problem 11.8P:

The motion of a particle is defined by the relation x=t2(t2)3 , where x and t are expressed in feet...Problem 11.9P:

The brakes of a car are applied, causing it to slow down at a rate of 10 ft/s2. Knowing that the car...Problem 11.10P:

The acceleration of a particle is defined by the relation a a=3e0.2t , where a and t are expressed...Problem 11.11P:

The acceleration of a particle is defined by the relation a a=93t2 , where a and t are expressed in...Problem 11.12P:

Many car companies are performing research on collision avoidance systems. A small prototype applies...Problem 11.13P:

A Scotch yoke is a mechanism that transforms the circular motion of a crank into the reciprocating...Problem 11.14P:

For the Scotch yoke mechanism shown, the acceleration of point A is defined by the relation...Problem 11.15P:

A piece of electronic equipment that is surrounded by packing material is dropped so that it hits...Problem 11.16P:

A projectile enters a resisting medium at x=0 with an initial velocity v0=1000 ft/s and travels 3...Problem 11.17P:

Point A oscillates with an acceleration a=100(0.25x) , where a and x are expressed in m/s2 and...Problem 11.18P:

A brass (nonmagnetic) block A and a steel magnet B are in equilibrium in a brass tube under the...Problem 11.19P:

Based on experimental observations, the acceleration of a particle is defined by the relation...Problem 11.20P:

A spring AB is attached to a support at A and to a collar. The unstretched length of the spring is...Problem 11.21P:

The acceleration of a particle is defined by the relation a=k(1ex) , where k is a constant. Knowing...Problem 11.22P:

Starting from x=0 with no initial velocity, a particle is given an acceleration a=0.8a=0.8v2+49 ,...Problem 11.23P:

A ball is dropped from a boat so that it strikes the surface of a lake with a speed of 16.5 ft/s....Problem 11.24P:

The acceleration of a particle is defined by the relation a=kv , where k is a constant. Knowing that...Problem 11.25P:

The acceleration of a particle is defined by the relation a=kv2.5 , where k is a constant. The...Problem 11.26P:

A human-powered vehicle (HPV) team wants to model the acceleration during the 260-m sprint race (the...Problem 11.27P:

Experimental data indicate that in a region downstream of a given louvered supply vent the velocity...Problem 11.28P:

Based on observations, the speed of a jogger can be approximated by the relation v=7.5(10.4x)0.3 ,...Problem 11.29P:

The acceleration due to gravity at an altitude y above the surface of the earth be expressed as...Problem 11.30P:

The acceleration due to gravity of a particle falling toward the earth is a=gR2/r2 , where r is the...# 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

# 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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12th Edition

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Loose Leaf for Vector Mechanics for Engineers: Dyn Format: Loose-leaf

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Vector Mechanics For Engineers

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