VECTOR MECH. FOR EGR: STATS & DYNAM (LL
12th Edition
ISBN: 9781260663778
Author: BEER
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Question
Chapter 14.2, Problem 14.56P
(a)
To determine
Find the velocity of spheres A, B, and C.
(b)
To determine
Find the vertical distance (d) between x-axis to sphere C.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
ASAP
PRACTICE PROBLEM 9.3
two minecarts are connected as shown below. Friction is negligible.
If you know that:
Minecart 1 mass=8 kilograms
Mine cart 1 velocity = 3 m/s to the right
Minecart 2 mass=4 kilograms
• Minecart 2 velocity = 3 m/s to the left
MM.
• Minecart 2 will stick to minecart 1 upon impact via the spring on minecart 2.
This spring has a constant (k) =8 N/m
Minecart 2 is 10 meters away from the wall.
Differential eq:
*-[];
=
• Time (t)=0 is when the mine carts collide and stick together.
x1 and x2 is the displacement of minecart 1 and 2 respectively from its
original position at t=0
Solution:
z1(t)
wall.
Make a second order differential equations system that models the situation and
find the solution to the system you make.
10m
x₂(t)
=
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 MECH. FOR EGR: STATS & DYNAM (LL
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
- PRACTICE PROBLEM 8.2 two minecarts are connected as shown below. Friction is negligible. Assume that x1 & x2 is the displacement of the mass of the first cart and the mass of the second cart from their starting positions respectively. KI m, www m₂ If you know that: Both minecarts have a mass = 2 kilograms Spring constant (kl)=72N/m Spring constant (k2)=108N/m Spring constant (k3)=72N/m Differential eq: ď = [ 3 x K3 www Make a second order differential equations system that models the situation and find the general solution to the system you make. General solution: [x₁(t) [2²2(b)] = [-] (a₁ cos (-) + b₁ sin (-)) + [-] (0₂0 [x₂(t) (a2 cos (-) + b₂ sin (-))arrow_forwardNOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Two small disks A and B of mass 3 kg and 1.5 kg, respectively, may slide on a horizontal, frictionless surface. They are connected by a cord 600 mm long and spin counterclockwise about their mass center Gat the rate of 15 rad/s. At t= O, the coordinates of Gare x = 0 and yo = 2 m, and its velocity is v0 = (1.2 m/s)i +(0.96 m/s)j. Shortly thereafter, the cord breaks; disk A is then observed to move along a path parallel to the yaxis and disk Balong a path which intersects the x axis at a distance b=7.5 m from O. B C yo B B' x Determine the velocities of A and B after the cord breaks. (You must provide an answer before moving on to the next part.) 3.3 After the cord breaks, the velocity of A is After the cord breaks, the velocity of Bis 5.13 m/s↑. m/s € 45.4arrow_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
- A uniform cylindrical turntable of radius 1.9 m and mass 30.0kg rotates counterclockwise in a horizontal plane with an initial angular speed of 4pi rad/s. The fixed turntable bearing is frictionless. A lump of clay of mass 2.25kg and negligible size is dropped onto the turntable from a small distance above it and immediately sticks to the turntable at a point 1.80m to the east of the axis. A. Find the final angular speed of the clay and turntable. B. Is the mechanical energy of the turntable-clay system constant in this process? C. Is the momentum of the system constant in this process? Explain your answer.arrow_forwardRequired information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Two small disks A and B of mass 3 kg and 1.5 kg, respectively, may slide on a horizontal, frictionless surface. They are connected by a cord 600 mm long and spin counterclockwise about their mass center G at the rate of 13 rad/s. At t = O, the coordinates of G are x = 0 and yo= 2 m, and its velocity is Vo= (1.2 m/s)i +(0.96 m/s)j. Shortly thereafter, the cord breaks; disk A is then observed to move along a path parallel to the yaxis and disk B along a path which intersects the x axis at a distance b-7.5 m from O. Determine the distance a from the y axis to the path of A. The distance from the y axis to the path of A is m. B'arrow_forwardA smooth can C, having a mass of 5 kg, is lifted from a feed at A to a ramp at B by a rotating rod. The rod maintains a constant angular velocity of 0 = 0.5 rad/s, Neglect the effects of friction in the calculation and the size of the can so that r= (1.2 cos 0) m. The ramp from A to B is circular, having a radius of 600 mm (Figure 1) Figure 1 of 1 030.5 rad/s 600 mm 600 mmarrow_forward
- Two small disks A and B of mass 3 kg and 1.5 kg, respectively, may slide on a horizontal, frictionless surface. They are connected by a cord 600 mm long and spin counterclockwise about their mass center G at the rate of 15 rad/s. At t= O, the coordinates of G are x₁ = 0 and yo = 2 m, and its velocity is vo= (1.2 m/s)i +(0.96 m/s)j. Shortly thereafter, the cord breaks; disk A is then observed to move along a path parallel to the y axis and disk B along a path which intersects the x axis at a distance b=7.5 m from O. B O Yo Vo B VB B' Determine the velocities of A and B after the cord breaks. (You must provide an answer before moving on to the next part.) After the cord breaks, the velocity of A is After the cord breaks, the velocity of Bis m/s↑. m/sarrow_forwardAs shown in the picture below, a 40-kg diver is positioned so that his radius of gyration is 0.4m as he leaves the board with an angular velocity of 5 rad/s (Position 1). What is the diver's angular velocity when he changes his pose to Position2, altering his radius of gyration to 0.2m? Position 1 Position 2 CARarrow_forwardTwo smooth disks A and B each have a mass of 0.5 kg. Both disks are moving with the velocities shown when they collide. Suppose that (vA)1 = 9 m/s , (vB)1 = 8 m/s. The figure shows two discs, A and B, moving toward the origin of a horizontal xy-plane, where they collide, so that their common tangent lies on y-axis. Disk A moves in negative x-direction with velocity left-parenthesis v subscript A right-parenthesis subscript 1. Block B moves from the third quarter with velocity left-parenthesis v subscript B right-parenthesis subscript 1, directed along an inclined line with a slope of four-thirds. Determine the coefficient of restitution between the disks if after collision B travels along a line, 30∘ counterclockwise from the y axis.arrow_forward
- Two beads of mass m are initially at rest at the top of a frictionless hoop of mass M and radius R, which stands vertically on the ground. The beads, being strung on the hoop, are constrained to move along the hoop’s circular path. The beads are given tiny kicks, and they slide down the hoop, one to the right and one to the left. What is the largest value of m/M for which the hoop never rises up off the ground? (Given a sufficiently large ratio of m/M the normal force of the beads on the hoop can indeed cause it to jump off of the ground!) Some thoughts/hints about this problem:(a) It is important to think about the direction of the Normal force as the beads move around the hoop. The hoop is exerting a normal force on the beads which are constraining them to stay on the wire as they move around the hoop. The beads are also exerting a normal force on the hoop which is what will make the hoop jump.(b) What happens to the direction of the normal force exerted by the hoop on the beads as…arrow_forwardA. A motorcycle and rider have a combined mass of 350kg. The wheels each have a mass of 20kg, diameter of 500mm and radius of gyration of 200mm. The rider accelerates uniformly from 5m/s to 25m/s over a distance of 100m, whilst climbing a hill of slope 1 in 20. The average resistance to motion, including drag, is 105 N. 1. Determine the total work done as the motorcycle ascends the incline. 2. Calculate the amount of power developed during the climb. B. At another point in its journey, the motorcycle and rider travel at 80 km/h around a left-hand bend of radius 30m. Calculate: 1. The angular velocity of each of the wheels. 2. The moment of inertia of each wheel. 3. The magnitude and effect of the gyroscopic torque produced on the bike.arrow_forwardPlease answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE. The wooden block (mass m = 0.5358 kg) is released from rest at A by a compressed spring (compressed length 0.6 m, undeformed length 1 m, spring constant k = 150 N/m). The block is allowed to slide through the rough horizontal surface (A to B), then along the smooth circular ramp (B to C, central angle θ = 47.2°, until the block is released after point C. Calculate the speed of the block at points B and C. Also, what is the magnitude of the normal force exerted to the block just before the block leaves the ramp? Neglect the geometry of the block. NOTE: Use Work-Energy Method to solve for the speeds; use Force-Mass-Acceleration (FMA) Method to compute for the normal force.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
Physics 33 - Fluid Statics (1 of 10) Pressure in a Fluid; Author: Michel van Biezen;https://www.youtube.com/watch?v=mzjlAla3H1Q;License: Standard YouTube License, CC-BY