Vector Mechanics for Engineers: Statics and Dynamics
11th Edition
ISBN: 9780073398242
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 13.4, Problem 13.6IMD
A sphere with a speed v0 rebounds after striking a frictionless inclined plane as shown. Draw the impulse–momentum diagram that can be used to find the velocity of the sphere after the impact.
Fig. P13.F6
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
1.
The use of a "tether sling" is a proposed method for increasing the velocity of a spacecraft
for lunar and interplanetary missions. A tether sling between two spacecraft of masses 10,000 kg
each is shown below. Assume that each spacecraft's engine provides a 1000 N propulsive force in a
direction normal to the sling for 10 seconds. The length 1 of the tether is 100 km during this
maneuver. Use the principle of angular momentum and impulse to determine the velocity of the
two spacecraft after this time. Determine the velocity of the two spacecraft if the propulsive force is
then stopped and the tether is reeled into a length of 100 m. Use the system center of mass G as a
reference point for computing angular momentum and moments.
G
L
Problem 4: Amerry-go-round is a playground ride that consists of a large disk mounted to
that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a
radius R = 1.1 meters, and a mass M= 286 kg. A small boy of mass m = 41 kg runs tangentially to
the merry-go-round at a speed of v = 2.5 m/s, and jumps on.
Randomized Variables
R = 1.1 meters
M= 286 kg
m = 41 kg
v= 2.5 m/s
Part (a) Calculate the moment of inertia of the merry-go-round, in kg · m?.
I=
sin()
cos()
tan()
8 9
HOME
cotan()
asin()
acos()
E
4
5
atan()
acotan()
sinh()
*1|2|3
cosh()
tanh()
cotanh()
+| -
END
ODegrees O Radians
Vol BACKSPACE DEL CLEAR
Submit
Feedback
I give up!
Hint
Part (b) Immediately before the boy jumps on the merry go round, calculate his angular speed (in radians/second) about the central axis of the
merry-go-round.
Part (c) Immediately after the boy jumps on the merry go round, calculate the angular speed in radians/second of the merry-go-round and boy.
Part (d) The…
Parvinbhai
Chapter 13 Solutions
Vector Mechanics for Engineers: Statics and 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 - 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 - 13.6 In an ore-mixing operation, a bucket full of...Ch. 13.1 - Prob. 13.7PCh. 13.1 - A 2000-kg automobile starts from rest at point A...Ch. 13.1 - Prob. 13.9P
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 - Prob. 13.12PCh. 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 - Prob. 13.16PCh. 13.1 - Prob. 13.17PCh. 13.1 - The subway train shown is traveling 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 - Prob. 13.22PCh. 13.1 - Prob. 13.23PCh. 13.1 - Two blocks A and B, of mass 4 kg and 5 kg,...Ch. 13.1 - Prob. 13.25PCh. 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 - Prob. 13.28PCh. 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 - Prob. 13.32PCh. 13.1 - Prob. 13.33PCh. 13.1 - Two types of energy-absorbing fenders designed to...Ch. 13.1 - Prob. 13.35PCh. 13.1 - Prob. 13.36PCh. 13.1 - Prob. 13.37PCh. 13.1 - Prob. 13.38PCh. 13.1 - Prob. 13.39PCh. 13.1 - The sphere at A is given a downward velocity v0...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 - Prob. 13.45PCh. 13.1 - Prob. 13.46PCh. 13.1 - Prob. 13.47PCh. 13.1 - Prob. 13.48PCh. 13.1 - Prob. 13.49PCh. 13.1 - Prob. 13.50PCh. 13.1 - A 1400-kg automobile starts from rest and travels...Ch. 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 - Prob. 13.3CQCh. 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 - Prob. 13.58PCh. 13.2 - Prob. 13.59PCh. 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 - It is shown in mechanics of materials that the...Ch. 13.2 - Prob. 13.64PCh. 13.2 - A 500-g collar can slide without friction along...Ch. 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 - 13.70 A section of track for a roller coaster...Ch. 13.2 - 13.71 A section of track for a roller coaster...Ch. 13.2 - A 1-lb collar is attached to a spring and slides...Ch. 13.2 - A 10-lb collar is attached to a spring and slides...Ch. 13.2 - Prob. 13.74PCh. 13.2 - Prob. 13.75PCh. 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 - Prove that a force F(x, y, z) is conservative if,...Ch. 13.2 - The force F = (yzi + zxj + xyk)/xyz acts on the...Ch. 13.2 - Prob. 13.81PCh. 13.2 - Prob. 13.82PCh. 13.2 - Prob. 13.83PCh. 13.2 - Prob. 13.84PCh. 13.2 - Prob. 13.85PCh. 13.2 - A satellite describes an elliptic orbit of minimum...Ch. 13.2 - While describing a circular orbit 200 mi above the...Ch. 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 - (a) Show that, by setting r = R + y in the...Ch. 13.2 - Collar A has a mass of 3 kg and is attached to a...Ch. 13.2 - Collar A has a mass of 3 kg and is attached to a...Ch. 13.2 - A governor is designed so that the valve of...Ch. 13.2 - A 1.5-lb ball that can slide on a horizontal...Ch. 13.2 - A 1.5-lb ball that can slide on a horizontal...Ch. 13.2 - Using the principles of conservation of energy and...Ch. 13.2 - Prob. 13.99PCh. 13.2 - A spacecraft is describing an elliptic orbit of...Ch. 13.2 - While describing a circular orbit, 185 mi above...Ch. 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 - A space vehicle is in a circular orbit at an...Ch. 13.2 - Prob. 13.111PCh. 13.2 - Show that the values vA and vP of the speed of an...Ch. 13.2 - Show that the total energy E of an earth satellite...Ch. 13.2 - A space probe describes a circular orbit of radius...Ch. 13.2 - Prob. 13.115PCh. 13.2 - A spacecraft of mass m describes a circular orbit...Ch. 13.2 - Using the answers obtained in Prob. 13.108, show...Ch. 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 - Prob. 13.1IMDCh. 13.3 - Prob. 13.2IMDCh. 13.3 - Prob. 13.3IMDCh. 13.3 - Prob. 13.4IMDCh. 13.3 - Prob. 13.5IMDCh. 13.3 - A 35 000-Mg ocean liner has an initial velocity of...Ch. 13.3 - A 2500-lb automobile is moving at a speed of 60...Ch. 13.3 - Prob. 13.121PCh. 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 - Prob. 13.125PCh. 13.3 - The 18 000-kg F-35B uses thrust vectoring to allow...Ch. 13.3 - Prob. 13.127PCh. 13.3 - Prob. 13.128PCh. 13.3 - Prob. 13.129PCh. 13.3 - Prob. 13.130PCh. 13.3 - A tractor-trailer rig with a 2000-kg tractor, a...Ch. 13.3 - Prob. 13.132PCh. 13.3 - An 8-kg cylinder C rests on a 4-kg platform A...Ch. 13.3 - An estimate of the expected load on...Ch. 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 - Prob. 13.140PCh. 13.3 - The triple jump is a track-and-field event in...Ch. 13.3 - The last segment of the triple jump...Ch. 13.3 - The design for a new cementless hip implant is to...Ch. 13.3 - A 28-g steel-jacketed bullet is fired with a...Ch. 13.3 - 13.145 A 25-ton railroad car moving at 2.5 mi/h is...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 - Bullet B weighs 0.5 oz and blocks A and C both...Ch. 13.3 - A 180-lb man and a 120-lb woman stand at opposite...Ch. 13.3 - A 75-g ball is projected from a height of 1.6 m...Ch. 13.3 - A ballistic pendulum is used to measure the speed...Ch. 13.3 - Prob. 13.153PCh. 13.3 - Prob. 13.154PCh. 13.4 - A 5-kg ball A strikes a 1-kg ball B that is...Ch. 13.4 - A sphere with a speed v0 rebounds after striking a...Ch. 13.4 - Prob. 13.7IMDCh. 13.4 - Prob. 13.8IMDCh. 13.4 - A 10-kg ball A moving horizontally at 12 m/s...Ch. 13.4 - Prob. 13.10IMDCh. 13.4 - Prob. 13.155PCh. 13.4 - Prob. 13.156PCh. 13.4 - Prob. 13.157PCh. 13.4 - Prob. 13.158PCh. 13.4 - To apply shock loading to an artillery shell, a...Ch. 13.4 - Packages in an automobile parts supply house are...Ch. 13.4 - Prob. 13.161PCh. 13.4 - At an amusement park, there are 200-kg bumper cars...Ch. 13.4 - At an amusement park there are 200-kg bumper cars...Ch. 13.4 - Prob. 13.164PCh. 13.4 - 13.165 Two identical pool balls with a 2.37-in....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 - Prob. 13.170PCh. 13.4 - A girl throws a ball at an inclined wall from a...Ch. 13.4 - Prob. 13.172PCh. 13.4 - From experimental tests, smaller boulders tend to...Ch. 13.4 - Prob. 13.174PCh. 13.4 - A 1-kg block B is moving with a velocity v0 of...Ch. 13.4 - A 0.25-lb ball thrown with a horizontal velocity...Ch. 13.4 - After having been pushed by an airline employee,...Ch. 13.4 - Prob. 13.178PCh. 13.4 - A 5-kg sphere is dropped from a height of y = 2 m...Ch. 13.4 - A 5-kg sphere is dropped from a height of y = 3 m...Ch. 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 - Ball B is hanging from an inextensible cord. An...Ch. 13.4 - A 70-g ball B dropped from a height h0 = 1.5 m...Ch. 13.4 - A 2-kg sphere moving to the right with a velocity...Ch. 13.4 - When the rope is at an angle of = 30, the 1-lb...Ch. 13.4 - When the rope is at an angle of = 30, the 1-kg...Ch. 13 - Prob. 13.190RPCh. 13 - Prob. 13.191RPCh. 13 - Prob. 13.192RPCh. 13 - Prob. 13.193RPCh. 13 - 13.194 A 50-lb sphere A with a radius of 4.5 in....Ch. 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 - A 2-kg ball B is traveling horizontally at 10 m/s...Ch. 13 - A 2-kg block A is pushed up against a spring...Ch. 13 - The 2-lb 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
- Sphere A, which has an angular and linear velocity of 57.1 rad/s and 2.85 m/s, respectively, rolls without sliding and hits a slender Bar B of mass m_B = 1.00 kg and length L = 0.12 m, which is initially at rest as shown in the following figure. Neglecting the friction between the sphere and the bar, and knowing the coefficient of restitution between the sphere and the bar is 0.2, determine (1) the angular velocity of Bar B immediately after impact, and (2) the linear velocities of sphere A and bar B immediately after impact (and at their centroids).arrow_forwardTwo identical spheres A and B each of mass m , are attached to an inextensible inelastic cord of length L and are resting at a distance a from each other on a frictionless horizontal surface. Sphere B is given a velocity v0 in a direction perpendicular to line AB and moves it without friction until it reaches B ’ where the cord becomes taut. Draw the impulse-momentum diagram that can be used to determine the magnitude of the velocity of each sphere immediately after the cord has become taut.arrow_forwardProblem 15.140 | A particle of mass m is attached to a light string that runs through a smooth hole in a circularly shaped bowl that lies in the vertical plane. A force P is applied to the other end of the string so that the mass can rotate in a horizontal circle with constant speed 01. Use sin 30° = 1/2 and cos 30° = √√3/2 in your calculations. (a) If the tension in the string is P1 = mg when the mass is in ①, determine its speed v₁ as a function of g and R. (b) If the force is increased to P2 so that the mass moves to the new circular path shown in ②, determine the new speed of the mass v2. √√√3+1 (c) Determine, as a function of m and g, the required tension in the string P2 in ②. Use sin 15° = √√3-1 2√2 and cos 15° = 2√√2 30° m 30° R Figure P15.140arrow_forward
- 1 A conveyer belt at the postal service deposits packages down a chute of radius p to be sorted. At the instant shown, package B is resting at the end of the chute while package A has just entered the chute at a height h with velocity VA. After going down the chute package A and B become stuck together. Problem Part A: What is the velocity of the packages after they impact? Part B: Using the angular momentum form of Newton's 2nd Law determine how fast the velocity is increasing, v, at the instant when 0= 70 deg. (Hint: To compute the angular momentum, use a polar frame with VA/O= vêe.) Values: g = 9.81 m/s², mA = 5 kg, mB = 8 kg, VA = 5 m/s, h = p = 1.5 m CONVEYER h SMOOTH CHUTE NA o at rest ↓ •Barrow_forwardA small steel ball of radius 1, placed atop a much larger sphere of radius R, begins to roll under the influence of gravity. Rolling resistance and air resistance are negligible. As the speed of the ball increases, it leaves the surface of the sphere and becomes a projectile. Determine the location at which the ball loses contact with the sphere.arrow_forwardQ7. The uniform 6.2-kg slender bar with a length of 2.7 m is pinned at point O. It is initially at rest, and then is subjected to a horizontal impulsive force at B. The average value of the force is 1,300 N, and its duration is 0.04 s. If the force causes the bar to swing to the horizontal position before falling, what is the distance h? Assume the bar is still vertical immediately after the impact. Your answer must include 2 places after the decimal point, and proper SI unit. Take g = 9.81 m/s2. %3D h B Farrow_forward
- Q7. The uniform 7.9-kg slender bar with a length of 3.5 m is pinned at point O. It is initially at rest, and then is subjected to a horizontal impulsive force at B. The average value of the force is 1,270 N, and its duration is 0.04 s. If the force causes the bar to swing to the horizontal position before falling, what is the distance h? Assume the bar is still vertical immediately after the impact. Your answer must include 2 places after the decimal point, and proper Sl unit. Take g = 9.81 m/s². F B Your Answer: Answer h unitsarrow_forwardA 35 g steel ball is held by a ceiling-mounted electromagnet 3.4 m above the floor. A compressed-air cannon sits on the floor, 5.0 m to one side of the point directly under the ball. When a button is pressed, the ball drops and, simultaneously, the cannon fires a 25 g plastic ball. The two balls collide 1.2 m above the floor. What was the launch speed of the plastic ball?arrow_forwardA ball of mass (m) is connected by a light string of length (L) to a frictionless pivot point P and swings as a pendulum as shown in Fig. (1). The ball is released from rest at point A when the string makes an angle of e with vertical. Determine: 1) The velocity of the ball as it passes through point B. 2) The tension TA in the string at A. 3) The tension Te in the string at B. Barrow_forward
- Q5. A 6-kg ball moving horizontally with a speed of 4 m/s, as shown in the Figure, hits the bottom of the rigid, slender 3-kg bar, which pivots about its top. Determine the angular speed of the bar and the linear speed of the ball just after impact if the coefficient of restitution is assumed to be 0.75. 2 m 4 m/sarrow_forwardPROBLEM NO. 3 A 5-kg collar slides from A to B along a frictionless vertical rod as shown. The spring attached to the collar has an undeformed (initial) length of 4 m and a spring constant of 30 N/m. What is the collar's velocity at point B? 8.0 m A B 1.5 marrow_forwardAn 80-Mg railroad engine A coasting at 6.5 km/h strikes a 20-Mg flatcar C carrying a 30-Mg load B which can slide along the floor of the car (μk= 0.25). The flatcar was at rest with its brakes released. Instead of A and C coupling as expected, it is observed that A rebounds with a speed of 2 km/h after the impact. Draw impulse-momentum diagrams that can be used to determine (a) the coefficient of restitution and the speed of the flatcar immediately after impact, (b) the time it takes the load to slide to a stop relative to the car.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 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