Vector Mechanics for Engineers: Statics and Dynamics
12th Edition
ISBN: 9781259638091
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
Textbook Question
Chapter 14.1, Problem 14.17P
A 2-kg model rocket is launched vertically and reaches an altitude of 70 m with a speed of 30 m/s at the end of powered flight, time t = 0. As the rocket approaches its maximum altitude, it explodes into two parts of masses mA = 0.7 kg and mB = 1.3 kg. Part A is observed to strike the ground 80 m west of the launch point at t = 6 s. Determine the position of part B at that time.
Fig. P14.17
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A 5-kg model rocket is launched vertically and reaches an altitude of 100 m with a speed of 40 m/s at the end of powered flight, time t=5 s. As the rocket approaches its maximum altitude it explodes into two parts of masses mA=1.7 kg and mB=3.3kg. Part A is observed to strike the ground 50 m west of the launch point at t=6 s. Determine the position of part B at that time.
Slider C has a mass of 0.5 kg and
may move in a slot cut in arm AB,
which rotates at constant speed in a
horizontal plane. The slider is
attached to a spring of constant
k = 150 N/m, which is unstretched
when r = 0.
When arm AB rotates about the
vertical axis, the slider moves
without friction outward along the
smooth slot cut. Determine for the
position r = 80 mm:
a) The constant speed (V) of the
slider.
b) The normal force (N) exerted on
the slider by arm AB.
A
r=80mm
B
A 2-kg model rocket is launched vertically and reaches an altitude of 70 m with a speed of 30 m/s at the end of powered flight, time t= 0. As the rocket approaches its maximum altitude it explodes into two parts of masses mA = 0.7 kg and mB = 1.3 kg. Part A is observed to strike the ground 80 m west of the launch point at t = 6 s. Determine the position of part B at that time.
Chapter 14 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
Ch. 14.1 - A 30-g bullet is fired with a horizontal velocity...Ch. 14.1 - Two identical 1350-kg automobiles A and B are at...Ch. 14.1 - An airline employee tosses two suitcases in rapid...Ch. 14.1 - Car A weighing 4000 lb and car B weighing 3700 lb...Ch. 14.1 - Two swimmers A and B, of weight 190 lb and 125 lb,...Ch. 14.1 - A 180-lb man and a 120-lb woman stand side by side...Ch. 14.1 - A 40-Mg boxcar A is moving in a railroad...Ch. 14.1 - Two identical cars A and B are at rest on a...Ch. 14.1 - A 20-kg base satellite deploys three...Ch. 14.1 - For the satellite system of Prob. 14.9, assuming...
Ch. 14.1 - A system consists of three identical 19.32-lb...Ch. 14.1 - A system consists of three identical 19.32-lb...Ch. 14.1 - A system consists of three particles A, B, and C....Ch. 14.1 - For the system of particles of Prob. 14.13,...Ch. 14.1 - A 13-kg projectile is passing through the origin O...Ch. 14.1 - Prob. 14.16PCh. 14.1 - A 2-kg model rocket is launched vertically and...Ch. 14.1 - An 18-kg cannonball and a 12-kg cannonball are...Ch. 14.1 - 14.19 and 14.20 Cruiser A was traveling east at 60...Ch. 14.1 - 14.19 and 14.20 Cruiser A was traveling east at 60...Ch. 14.1 - Prob. 14.21PCh. 14.1 - Two spheres, each of mass m, can slide freely on a...Ch. 14.1 - In a game of pool, ball A is moving with a...Ch. 14.1 - Prob. 14.24PCh. 14.1 - Prob. 14.25PCh. 14.1 - In a scattering experiment, an alpha particle A is...Ch. 14.1 - Derive the relation HO=rmv+HG between the angular...Ch. 14.1 - Prob. 14.28PCh. 14.1 - Prob. 14.29PCh. 14.1 - Show that the relation MA=HA, where HA is defined...Ch. 14.2 - Determine the energy lost due to friction and the...Ch. 14.2 - In Prob. 14.3, determine the energy lost (a) when...Ch. 14.2 - Prob. 14.33PCh. 14.2 - Determine the energy lost as a result of the...Ch. 14.2 - Prob. 14.35PCh. 14.2 - Prob. 14.36PCh. 14.2 - Prob. 14.37PCh. 14.2 - Ball B is suspended from a cord of length l...Ch. 14.2 - A 15-lb block B starts from rest and slides on the...Ch. 14.2 - A 40-lb block B is suspended from a 6-ft cord...Ch. 14.2 - Prob. 14.41PCh. 14.2 - 14.41 and 14.42 In a game of pool, ball A is...Ch. 14.2 - Prob. 14.43PCh. 14.2 - In a game of pool, ball A is moving with the...Ch. 14.2 - Prob. 14.45PCh. 14.2 - Prob. 14.46PCh. 14.2 - Four small disks A, B, C, and D can slide freely...Ch. 14.2 - In the scattering experiment of Prob. 14.26, it is...Ch. 14.2 - Three identical small spheres, each weighing 2 lb,...Ch. 14.2 - Three small spheres A, B, and C, each of mass m,...Ch. 14.2 - Prob. 14.51PCh. 14.2 - Prob. 14.52PCh. 14.2 - Two small disks A and B of mass 3 kg and 1.5 kg,...Ch. 14.2 - Two small disks A and B of mass 2 kg and 1 kg,...Ch. 14.2 - Three small identical spheres A, B, and C, which...Ch. 14.2 - Prob. 14.56PCh. 14.3 - A stream of water with a density of = 1000 kg/m3...Ch. 14.3 - A jet ski is placed in a channel and is tethered...Ch. 14.3 - Tree limbs and branches are being fed at A at the...Ch. 14.3 - Prob. 14.60PCh. 14.3 - Prob. 14.61PCh. 14.3 - Prob. 14.62PCh. 14.3 - Prob. 14.63PCh. 14.3 - Prob. 14.64PCh. 14.3 - Prob. 14.65PCh. 14.3 - Prob. 14.66PCh. 14.3 - Prob. 14.67PCh. 14.3 - Prob. 14.68PCh. 14.3 - Prob. 14.69PCh. 14.3 - Prob. 14.70PCh. 14.3 - Prob. 14.71PCh. 14.3 - Prob. 14.72PCh. 14.3 - Prob. 14.73PCh. 14.3 - Prob. 14.74PCh. 14.3 - Prob. 14.75PCh. 14.3 - Prob. 14.76PCh. 14.3 - The propeller of a small airplane has a...Ch. 14.3 - Prob. 14.78PCh. 14.3 - Prob. 14.79PCh. 14.3 - Prob. 14.80PCh. 14.3 - Prob. 14.81PCh. 14.3 - Prob. 14.82PCh. 14.3 - Prob. 14.83PCh. 14.3 - Prob. 14.84PCh. 14.3 - Prob. 14.85PCh. 14.3 - Prob. 14.86PCh. 14.3 - Solve Prob. 14.86, assuming that the chain is...Ch. 14.3 - Prob. 14.88PCh. 14.3 - Prob. 14.89PCh. 14.3 - Prob. 14.90PCh. 14.3 - Prob. 14.91PCh. 14.3 - Prob. 14.92PCh. 14.3 - A rocket sled burns fuel at the constant rate of...Ch. 14.3 - Prob. 14.94PCh. 14.3 - Prob. 14.95PCh. 14.3 - Prob. 14.96PCh. 14.3 - Prob. 14.97PCh. 14.3 - Prob. 14.98PCh. 14.3 - Determine the distance traveled by the spacecraft...Ch. 14.3 - A rocket weighs 2600 lb, including 2200 lb of...Ch. 14.3 - Determine the altitude reached by the spacecraft...Ch. 14.3 - Prob. 14.102PCh. 14.3 - Prob. 14.103PCh. 14.3 - Prob. 14.104PCh. 14 - Three identical cars are being unloaded from an...Ch. 14 - A 50-kg mother and her 26-kg son are sledding down...Ch. 14 - An 80-Mg railroad engine A coasting at 6.5 km/h...Ch. 14 - Prob. 14.108RPCh. 14 - Mass C, which has a mass of 4 kg, is suspended...Ch. 14 - Prob. 14.110RPCh. 14 - A 6000-kg dump truck has a 1500-kg stone block...Ch. 14 - For the ceiling-mounted fan shown, determine the...Ch. 14 - Prob. 14.113RPCh. 14 - Prob. 14.114RPCh. 14 - Prob. 14.115RPCh. 14 - A chain of length l and mass m falls through a...
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
- 5. A 2-kg sphere is attached to a massless rigid rod attached to a fixed pivot point O. The rigid rod and mass rotate in the horizontal plane. A moment is applied to the rod of magnitude M = 0.5t² N. m, where t is in seconds. The length of the rod is 0.5 m. Determine the speed of the sphere after the moment is applied for 5 seconds. M(t)arrow_forwardBlocks A and B are connected by a cord that passes over pulleys and through a collar C. The system is released from rest when x = 2.7 m. As block A rises, it strikes collar C with perfectly plastic impact (e = 0). After impact, the two blocks and the collar keep moving until they come to another stop. Consider, mA = 10.0 kg, mg= 11.0 kg, and mc = 3.0 kg, respectively. T A MA mc C Determine the value of x at the end of one compete cycle. The value of x at the end of one compete cycle is m. B maarrow_forward5. A 5 kg block is suspended from a 200 N/m spring. A 2 kg block is travelling at 10 m/s when it collides elastically with the 5 kg block. (a) What is the initial stretch of the spring? How much potential energy is stored in the spring at equilibrium? Natural length (b) What are the velocities of the 5 kg and 2 kg blocks just after the collision? Equilibrium length (c) What is the compression/stretch of the spring from its "natural" length at the instant the 5 kg block's speed is zero? 10m/s at collisionarrow_forward
- A 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 system consists of three particles A, B, and C. We know that mA =3kg, mB =2kg, and mC = 4 kg and that the velocities of the particles expressed in m/s are, respectively, vA = 4i +2j +2k, vB = 4i + 3j, and vC = -2i + 4j +2k. Determine the angular momentum HO of the system about O.arrow_forwardCollision at an Angle To apply conservation of linear momentum in an inelastic collision. Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been traveling north at a speed 2v, while the second was traveling in a southeastern direction at an angle ϕ with respect to the east-west direction and at a speed v. After the collision, the two-car system travels in a northeastern direction at an angle θ with respect to the north-south direction and at a speed v final. What is the angle θ (with respect to north) made by the velocity vector of the two cars after the collision? Express your answer in terms of ϕ. Your answer should contain an inverse trigonometric function.arrow_forward
- Collision at an Angle To apply conservation of linear momentum in an inelastic collision. Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been traveling north at a speed 2v, while the second was traveling in a southeastern direction at an angle ϕ with respect to the east-west direction and at a speed v. After the collision, the two-car system travels in a northeastern direction at an angle θ with respect to the north-south direction and at a speed v final. Find v final, the speed of the joined cars after the collision. Express your answer in terms of v and ϕ.arrow_forwardPart C Determine the magnitude of the final velocity of B just after collision. Express your answer to three significant figures and include the appropriate units. (VB)2 = Value Submit Part D μÅ 02 Submit Request Answer Request Answer www P Units Determine the angle between the x axis and the final velocity of B just after the collision, measured clockwise from the negative x axis. Express your answer using three significant figures. IVE ΑΣΦ ↓↑ vec ? wwwww ? 0arrow_forwardProblem 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…arrow_forward
- PROBLEM 12.6 A 0.1-kg model rocket is launched vertically from rest at time t=0 with a constant thrust of 10 N for one second and no thrust for t > 1 s. Neglecting air resistance and the decrease in mass of the rocket, determine (a) the maximum height h reached by the rocket, (b) the time required to reach this maximum height. h = 460 m t = 10.19 sarrow_forwardThe 450-kg ram of a pile driver falls 1.4 m from rest and strikes the top of a 240-kg pile embedded 0.9 m in the ground. Upon impact the ram is seen to move with the pile with no noticeable rebound. Determine the velocity v of the pile and ram imme- diately after impact. Can you justify using the principle of conservation of momentum even though the weights act during the impact? [ Ans: v = 3.42 m/s 14 m 09marrow_forwardA 0.25-lb ball thrown with a horizontal velocity v0 strikes a 1.5-lb plate attached to a vertical wall at a height of 36 in. above the ground. It is observed that after rebounding, the ball hits the ground at a distance of 24 in. from the wall when the plate is rigidly attached to the wall (Fig. 1) and at a distance of 10 in. when a foam-rubber mat is placed between the plate and the wall (Fig. 2). Determine (a) the coefficient of restitution e between the ball and the plate, (b) the initial velocity v0 of the ball.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
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY