Vector Mechanics For Engineers
12th Edition
ISBN: 9781259977237
Author: BEER
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 13.2, Problem 13.84P
To determine
(a)
The potential energy of spring.
To determine
(b)
The maximum velocity of mass.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A system consists of three identical 19.32-lb particles A, B, and C. The velocities of the particles are, respectively, VA = VAI,
VB=vgi, and vC= vck, and the magnitude of the linear momentum L of the system is 10 lb-s.
VC
B
H
2 ft
A
2 ft
1 ft
VB
The velocities of the particles are:
VA=
ft/s) j
VB=
ft/s) i
VC=
ft/s) k
3 ft
4 ft
Knowing that HG=Ho, where HG is the angular momentum of the system about its mass center G and Ho is the angular momentum
of the system about O, determine the velocities of the particles. (You must provide an answer before moving to the next part.)
1. A block with a mass of 1kg is initially at rest while held in contact with a compressed spring.
The spring has a stiffness constant of 1000 N/m and is initially compressed by a length of 0.3
meters. Once the mass leaves the spring it will slide 1 meter across the surface of a table where
u, = 0.2 is the coefficient of kinetic friction. There are no frictional losses while the mass is in
contact with the spring, and there are no losses due to air resistance. Only losses are due to the
interaction with the table during the 1-meter slide. The surface of the table is 2 meters above the
floor.
What is the speed of the mass just before it hits the floor?
mass leaves spring
1 meter
An object is thrown from a
height of 135 m with an initial
velocity of 50 m/s and an
angle of 53 degrees from the
horizon.
Chapter 13 Solutions
Vector Mechanics For Engineers
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 - Prob. 13.2PCh. 13.1 - Prob. 13.3PCh. 13.1 - A 500-kg communications satellite is in a circular...Ch. 13.1 - Prob. 13.5PCh. 13.1 - Prob. 13.6PCh. 13.1 - Prob. 13.7PCh. 13.1 - A 2000-kg automobile starts from rest at point A...Ch. 13.1 - An athlete is holding 30 lb of weights at a height...
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 - A package is 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 - Prob. 13.19PCh. 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 motor applies a constant downward force F=1050...Ch. 13.1 - The motor applies a constant downward force F to...Ch. 13.1 - Two blocks A and B, of mass 4 kg and 5 kg....Ch. 13.1 - Four 15-kg packages are placed as shown on a...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 0.75-lb brass (nonmagnetic) block A and a 0.5-lb...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 2-lb collar C may slide without friction along a...Ch. 13.2 - Solve Prob. 13.58 assuming the spring CD has been...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 - Prob. 13.64PCh. 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 - Solve Prob. 13.68 assuming the coefficient of...Ch. 13.2 - Prob. 13.70PCh. 13.2 - A roller coaster starts from rest at A, rolls down...Ch. 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 - Prob. 13.78PCh. 13.2 - Prob. 13.79PCh. 13.2 - Prob. 13.80PCh. 13.2 - A force F acts on a particle P(x, y) which moves...Ch. 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 motor applies a constant downward force F=550...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 120-ton tugboat is moving at 6 ft/s with a slack...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 - Prob. 13.153PCh. 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 - Two steel blocks slide without friction on a...Ch. 13.4 - Prob. 13.156PCh. 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 - Prob. 13.161PCh. 13.4 - Prob. 13.162PCh. 13.4 - Prob. 13.163PCh. 13.4 - Two identical billiard balls can move freely on a...Ch. 13.4 - Two identical 40-lb curling stones have diameters...Ch. 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 - 34,000-Ib airplane lands on an aircraft carrier...Ch. 13 - Prob. 13.191RPCh. 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 - Prob. 13.197RPCh. 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
- Q2: Sphere A collides with B as shown. If the coefficient of restitution is e = 0.5, determine the velocities of the two balls after impact if the velocities and masses of sphere A&B before impact are (ma= 10 kg, ms = 1 kg, vA= 2 m/sec, Us= 10 m/sec) respectively. "g- m/s kg /30 m2 mi kg A m/sarrow_forwardA block with a mass of m is dropped from a certain height. An undeformed spring with a spring constant of 450 N/m is placed directly below it. The distance between the top of the spring and the block is 3 m. Determine the magnitude of velocity of the block just before it hits the spring (use principles of work and energy) and prove using kinematic equations Determine the deformation of the spring as the block reaches its lowest point. (use principles of work and energy) Determine the magnitude of the velocity of the block as the spring returns to its original length. use (principles of work and energy) hello please help thank youuuu very very urgentarrow_forwardAn object of mass m=2kg is part of a system and it is subject only to conservative forces and constrained to move along a horizontal line such that the potential energy of the system is given by the function U(x)=(−10)/(x2+1), where x is in meters and U is in joules. The graph of the function is shown in the image. (e) Another object is subject only to a different set of conservative forces and constrained to move along a horizontal line such that its potential energy is given by a different function U(x). Explain how the new function U(x) could be used to locate a point of stable equilibrium.arrow_forward
- A0.31-kg particle is moving with a velocity v1 = [1.6i + 1.2j+ 1.9k] m/s at time t = 1.4 s. If the single force F = [(6.1+ 2.8t)i + (1.5 - 2.1t)j + 2.9k] N acts on the particle, determine its velocity v2 at time t2 = 4.7 s. Answer: v2 = [ i i+ i j+ i k] m/s Save for Later Attempts: unlimited Submit Answerarrow_forwardA 0.515-oz model rocket is launched vertically from rest at time t = 0 with a constant thrust of 0.9 lb for 0.3 s and no thrust for t > 0.3 s. Neglect air resistance and the decrease in mass of the rocket. Determine the time required to reach this maximum height. The time required to reach this maximum height is ____s.arrow_forwardA hunter shoots his rifle at an angle of 27.2° above the horizontal. He is holding the rifle so that the muzzle of the rifle is exactly 2 m above the ground. The muzzle velocity of the rifle is 412 m/s. How long (in seconds) does it take the bullet to reach its maximum height?arrow_forward
- A particle of momentum P1 collides with a particle at rest. After the collision, the particle initially at rest decays into two particles of momentum P3 and P4, respectively, while particle 1 continues in a straight line with momentum P1'. Knowing the magnitudes of all the momentum listed above and knowing that energy was not conserved during the process, find the angle θ (theta) between particles 3 and 4.arrow_forwardA 1400-kg automobile starts from rest and travels 400 m during a performance test. The motion of the automobile is defined by the relation x= 4000 ln(cosh 0.03t), where x and t are expressed in meters and seconds, respectively. The magnitude of the aerodynamic drag is D = 0.35v2 , where D and v are expressed in newtons and m/s, respectively. Determine the power dissipated by the aerodynamic drag when (a) t= 10 s, (b) t= 15 s.arrow_forwardA constant force P is applied to a piston and rod of total mass m to make them move in a cylinder filled with oil. As the piston moves, the oil is forced through orifices in the piston and exerts on the piston a force of magnitude kv in a direction opposite to the motion of the piston. Knowing that the piston starts from rest at t= 0 and x = 0, show that the equation relating x, v, and t, where x is the distance traveled by the piston and v is the speed of the piston, is linear in each of these variables.arrow_forward
- To use the principle of linear impulse and momentum to relate a force on an object to the resulting velocity of the object at different times. The equation of motion for a particle of mass m can be written as ∑F=ma=mdvdt By rearranging the terms and integrating, this equation becomes the principle of linear impulse and momentum: ∑∫t2t1Fdt=m∫v2v1dv=mv2−mv1 For problem-solving purposes, this principle is often rewritten as mv1+∑∫t2t1Fdt=mv2 The integral ∫Fdt is called the linear impulse, I, and the vector mv is called the particle's linear momentum. A stop block, s, prevents a crate from sliding down a θ = 20.0 ∘ incline. (Figure 1) A tensile force F=(F0t) N acts on the crate parallel to the incline, where F0 = 265 N/s . If the coefficients of static and kinetic friction between the crate and the incline are μs = 0.290 and μk = 0.195, respectively, and the crate has a mass of 57.4 kg , how long will it take until the crate reaches a velocity of 3.01 m/s as it moves up the incline?arrow_forwardTo use the principle of linear impulse and momentum to relate a force on an object to the resulting velocity of the object at different times. The equation of motion for a particle of mass m can be written as ∑F=ma=mdvdt By rearranging the terms and integrating, this equation becomes the principle of linear impulse and momentum: ∑∫t2t1Fdt=m∫v2v1dv=mv2−mv1 For problem-solving purposes, this principle is often rewritten as mv1+∑∫t2t1Fdt=mv2 The integral ∫Fdt is called the linear impulse, I, and the vector mv is called the particle's linear momentum. A jetliner of mass 8.60×104 kg is in level flight when it encounters a downdraft (a downward wind) that lasts for 1.40 s . The vertical component of the jetliner's velocity is 74.0 m/s after the downdraft subsides. What is the downdraft's average force, F, on the jetliner?arrow_forward113 Blocks on a spring. Two blocks with masses m₁ and m₂ are connected by a spring and are free to slide on a frictionless horizontal surface. The blocks are pulled apart along an x axis and then released from rest. At any later time, (a) what fraction frac₁ of the total kinetic energy of the system will block 1 have and (b) what fraction fracz will block 2 have? (c) If m₁ > m2,which block has more kinetic energy? 中arrow_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 PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering 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
Work, Energy, and Power: Crash Course Physics #9; Author: CrashCourse;https://www.youtube.com/watch?v=w4QFJb9a8vo;License: Standard YouTube License, CC-BY
Different Forms Of Energy | Physics; Author: Manocha Academy;https://www.youtube.com/watch?v=XiNx7YBnM-s;License: Standard Youtube License