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 14.2, Problem 14.55P
Three small identical spheres A, B, and C, which can slide on a horizontal, frictionless surface, are attached to three strings of length l, which are tied to a ring G. Initially the spheres rotate about the ring, which moves along the x axis with a velocity v0. Suddenly the ring breaks, and the three spheres move freely in the xy plane. Knowing that vA = (8.66 ft/s)j, vC = (15 ft/s)i, a = 0.866 ft, and d = 0.5 ft, determine (a) the initial velocity of the ring, (b) the length l of the strings, (c) the rate in rad/s at which the spheres were rotating about G.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
ASAP
A 7-lb collar is attached to a spring and slides
without friction along a rod in the vertical plane. The
spring has a constant 3.5 lb/in and 15-in. undeformed
length. The dimensions are: h = 15 in. The collar
is moving to the left at v = 2 in/s in the position
shown.
Determine the force exerted by the rod on the collar
at (a) point A, (b) point B.
Both A and B are on the curved portion of the rod.
h
www.
LA
h
B
h
h
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
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
- 2) A ball with a weight of 0.3N is attached to the end of an elastic thin cord of which unstretched length is 59cm. The other end of the cord is fixed at a point on the horizontal frictionless surface of a table. The stiffness of the cord is 20 N/m. At an instant, the ball moves with a velocity of 2.95 m/s which is perpendicular to the radius of curvature of the path of the ball and the length of the cord is 89cm at that instant. For the elastic cord to be stretched all the time during the motion of this ball, what is the minimum value of the velocity of the ball?arrow_forward8. An application to mecanics A particule r(t) of mass 1kg is moving along an horizontal straight line (positively oriented on the right). The particle is under the effect of a positive constant force F(t) = g. Knowing that the particle what initially at the origin, with negative speed -vo, find the expression of x(t) time t in terms of g and vo and find the position further on the left where the particule will be. Finally, find the expression of the time T when the particle will be back at the origin.arrow_forwardA particle of mass 2.6 kg is attached to two cables CB and CA as shown. it revolves in a horizontal circle of radius 1.3 m at a constant speed of 8.45 m/s.arrow_forward
- A torpedo was fired at a target ship by a submarine. The torpedo monitor of the target ship detects that 10 seconds pass between the moments when the explosion noise emitted by the water and air is heard. The torpedo travels in a linear orbit in the water. The propagation speed of sound in air is known as 340 m/s and the propagation velocity in water is 1430 m/s. Calculate the distance between the target ship and the torpedo accordingly.arrow_forwardThree roofers are at the edge of a flat roof a distance h above ground level. One throws a ball vertically downward at a speed vi; at the same time, the second throws a ball vertically upward at the same speed, and the third watches all this in amazement. What is the time interval between when the first ball strikes the ground and the second ball strikes the ground? (Use the following as necessary: g, h, and vi.)arrow_forwarda particle m suspended in a rigid container by two massless, inextensible strings. A force is applied to the container so that it accelerates to the right at a constant rate x¨. Determine the maximum value of x¨ for which both supporting strings remain taut.arrow_forward
- A brass (nonmagnetic) block A and a steel magnet B are in static equilibrium in a brass tube under the magnetic repelling force of another steel magnet, C. The magnet B is located a distance x =d, from C. If block A is suddenly removed, and the acceleration of block B is: k a =-g+ where g andk are known constants. Determine: a. the velocity, v, as a function of the position x and the known parameters (g,k,d,), and b. the position, x, when the velocity is maximum in terms of the known parameters (g,k,d,). Вarrow_forwardAn apple drops from the tree and falls freely. The apple is originally at rest a height 3 m above the top of the grass of a thick lawn, which is made of blades of grass of height 0.5 m. When the apple enters the grass, it slows down at a constant rate so that its speed is 0 m/s when it reaches ground level. a. Sketch the y-t, Vy-t, and Ay-t graphs for the motion of the applearrow_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_forwardA particle, of mass 9 kg, is attached to two identical springs. The other ends of the springs are attached to fixed points, A and B, which are 1.2 metres apart on a smooth horizontal surface. The springs have modulus of elasticity 45 N and natural length 0.4 m. The particle is released from rest at a distance of 0.5 metres from B and moves on the line AB. The midpoint of AB is C. At timet seconds after release, the displacement of the particle from C is x metres, where the direction from A to B is taken to be positive. www C www В (а) Show that the resultant force on the particle, at time t, is -225x newtons. (b) Hence show that the particle moves with simple harmonic motion. (c) State the period of this motion. (d) Find the speed of the particle when it is 0.05 metres from C. (e) Write down an expression for x in terms of t.arrow_forwardA 450-g ball B is moving along a horizontal circular path at a constant speed of 4 m/s. Determine (a) the angle 0 that the cord forms with the vertical line AC, (b) the tension in the cord 2. 1.8 marrow_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