<LCPO> VECTOR MECH,STAT+DYNAMICS
12th Edition
ISBN: 9781265566296
Author: BEER
Publisher: MCG
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Question
Chapter 14, Problem 14.108RP
(a)
To determine
Find the magnitude of velocity of ball A.
(b)
To determine
Find the magnitude of velocity of ball B.
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B'
14.51 In a game of billiards, ball A is given an initial velocity v along the
longitudinal axis of the table. It hits ball B and then ball C, which
are both at rest. Balls A and C are observed to hit the sides of the
1.8 m
– 1.2 m -
table squarely at A' and C', respectively, and ball B is observed to hit
the side obliquely at B'. Knowing that vo = 4 m/s, v, = 1.92 m/s, and
a = 1.65 m, determine (a) the velocities v and vc of balls B and C,
(b) the point C' where ball C hits the side of the table. Assume friction-
less surfaces and perfectly elastic impacts (i.e., conservation of energy).
0.75 m
VB
Vo B
0.75 m
C'
A'
Fig. P14.51
In a game of billiards, ball A is given an initial velocity v0 along the longitudinal axis of the table. It hits ball B and then ball C , which are both at rest. Balls A and c are observed to hit the sides of the table squarely at A, and C, respectively, and ball B is observed to hit the side obliquely at B, .Knowing that v0 = 4 m/s, vA = 1.92 m/s, and a= 1.65 m, determine (a) the velocities vB and vC of balls B and C , (b) the point C, where ball C hits the side of the table. Assume frictionless surfaces and perfectly elastic impacts (i.e., conservation of energy).
A golfer hits a ball with an initial velocity of magnitude v0 at an angle a with the horizontal. Knowing that the ball must clear the tops of two trees and land as close as possible to the flag, determine v0 and the distance d when the golfer uses (a) a six-iron with a = 31°, (b) a five-iron with a= 27°.
Chapter 14 Solutions
<LCPO> VECTOR MECH,STAT+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...
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