Engineering Mechanics: Dynamics
8th Edition
ISBN: 9781118885840
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Chapter 3.12, Problem 298P
To determine
Determine the semi major axis
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Problem (17): water flowing in an open channel of a rectangular cross-section with width (b) transitions from a
mild slope to a steep slope (i.e., from subcritical to supercritical flow) with normal water depths of (y₁) and
(y2), respectively.
Given the values of y₁ [m], y₂ [m], and b [m], calculate the discharge in the channel (Q) in [Lit/s].
Givens:
y1 = 4.112 m
y2 =
0.387 m
b = 0.942 m
Answers:
( 1 ) 1880.186 lit/s
( 2 ) 4042.945 lit/s
( 3 ) 2553.11 lit/s
( 4 ) 3130.448 lit/s
Problem (14): A pump is being used to lift water from an underground
tank through a pipe of diameter (d) at discharge (Q). The total head
loss until the pump entrance can be calculated as (h₁ = K[V²/2g]), h
where (V) is the flow velocity in the pipe. The elevation difference
between the pump and tank surface is (h).
Given the values of h [cm], d [cm], and K [-], calculate the maximum
discharge Q [Lit/s] beyond which cavitation would take place at the
pump entrance. Assume Turbulent flow conditions.
Givens:
h = 120.31 cm
d = 14.455 cm
K = 8.976
Q
Answers:
(1) 94.917 lit/s
(2) 49.048 lit/s
( 3 ) 80.722 lit/s
68.588 lit/s
4
Problem (13): A pump is being used to lift water from the bottom
tank to the top tank in a galvanized iron pipe at a discharge (Q).
The length and diameter of the pipe section from the bottom tank
to the pump are (L₁) and (d₁), respectively. The length and
diameter of the pipe section from the pump to the top tank are
(L2) and (d2), respectively.
Given the values of Q [L/s], L₁ [m], d₁ [m], L₂ [m], d₂ [m],
calculate total head loss due to friction (i.e., major loss) in the
pipe (hmajor-loss) in [cm].
Givens:
L₁,d₁
Pump
L₂,d2
오
0.533 lit/s
L1 =
6920.729 m
d1 =
1.065 m
L2 =
70.946 m
d2
0.072 m
Answers:
(1)
3.069 cm
(2) 3.914 cm
( 3 ) 2.519 cm
( 4 ) 1.855 cm
TABLE 8.1
Equivalent Roughness for New Pipes
Pipe
Riveted steel
Concrete
Wood stave
Cast iron
Galvanized iron
Equivalent Roughness, &
Feet
Millimeters
0.003-0.03 0.9-9.0
0.001-0.01 0.3-3.0
0.0006-0.003 0.18-0.9
0.00085
0.26
0.0005
0.15
0.045
0.000005
0.0015
0.0 (smooth) 0.0 (smooth)
Commercial steel or wrought iron 0.00015
Drawn…
Chapter 3 Solutions
Engineering Mechanics: Dynamics
Ch. 3.4 - Prob. 1PCh. 3.4 - The 50-kg crate is stationary when the force P is...Ch. 3.4 - At a certain instant, the 80-lb crate has a...Ch. 3.4 - A man pulls himself up the 15° incline by the...Ch. 3.4 - The 10-Mg truck hauls the 20-Mg trailer. If the...Ch. 3.4 - A 60-kg woman holds a 9-kg package as she stands...Ch. 3.4 - During a brake test, the rear-engine car is...Ch. 3.4 - Prob. 8PCh. 3.4 - The inexperienced driver of an all-wheel-drive car...Ch. 3.4 - Prob. 10P
Ch. 3.4 - The 300-Mg jet airliner has three engines, each of...Ch. 3.4 - Prob. 12PCh. 3.4 - The system of the previous problem is now placed...Ch. 3.4 - Prob. 14PCh. 3.4 - Prob. 15PCh. 3.4 - Prob. 16PCh. 3.4 - Prob. 17PCh. 3.4 - Prob. 18PCh. 3.4 - A worker develops a tension T in the cable as he...Ch. 3.4 - The wheeled cart of Prob. 3/19 is now replaced...Ch. 3.4 - Prob. 21PCh. 3.4 - Prob. 22PCh. 3.4 - Prob. 23PCh. 3.4 - Prob. 24PCh. 3.4 - Prob. 25PCh. 3.4 - Prob. 26PCh. 3.4 - Prob. 27PCh. 3.4 - Prob. 28PCh. 3.4 - Prob. 29PCh. 3.4 - Prob. 30PCh. 3.4 - Prob. 31PCh. 3.4 - Prob. 32PCh. 3.4 - Prob. 33PCh. 3.4 - Prob. 34PCh. 3.4 - Prob. 35PCh. 3.4 - Prob. 36PCh. 3.4 - Prob. 37PCh. 3.4 - Prob. 38PCh. 3.4 - Prob. 39PCh. 3.4 - Prob. 40PCh. 3.4 - Prob. 41PCh. 3.4 - Prob. 42PCh. 3.4 - Prob. 43PCh. 3.4 - Prob. 44PCh. 3.4 - Prob. 45PCh. 3.4 - Two iron spheres, each of which is 100 mm in...Ch. 3.5 - The small 2-kg block A slides down the curved path...Ch. 3.5 - If the 2-kg block passes over the top B of the...Ch. 3.5 - Prob. 49PCh. 3.5 - If the 180-lb ski-jumper attains a speed of 80...Ch. 3.5 - The 4-oz slider has a speed v = 3 ft/sec as it...Ch. 3.5 - Prob. 52PCh. 3.5 - Prob. 53PCh. 3.5 - Determine the speed which the 630-kg four-man...Ch. 3.5 - The hollow tube is pivoted about a horizontal axis...Ch. 3.5 - Prob. 56PCh. 3.5 - Prob. 57PCh. 3.5 - Prob. 58PCh. 3.5 - Prob. 59PCh. 3.5 - Prob. 60PCh. 3.5 - The standard test to determine the maximum lateral...Ch. 3.5 - Prob. 62PCh. 3.5 - Prob. 63PCh. 3.5 - Prob. 64PCh. 3.5 - Prob. 65PCh. 3.5 - A 0.2-kg particle P is constrained to move along...Ch. 3.5 - Prob. 67PCh. 3.5 - At the instant under consideration, the cable...Ch. 3.5 - Prob. 69PCh. 3.5 - The slotted arm OA rotates about a fixed axis...Ch. 3.5 - Prob. 71PCh. 3.5 - Prob. 72PCh. 3.5 - Prob. 73PCh. 3.5 - Prob. 74PCh. 3.5 - Prob. 75PCh. 3.5 - Prob. 76PCh. 3.5 - Prob. 77PCh. 3.5 - The 0.1-lb projectile A is subjected to a drag...Ch. 3.5 - Determine the speed v at which the race car will...Ch. 3.5 - The small object is placed on the inner surface of...Ch. 3.5 - The small object of mass m is placed on the...Ch. 3.5 - Prob. 82PCh. 3.5 - The slotted arm revolves in the horizontal plane...Ch. 3.5 - Beginning from rest when , a 35-kg child slides...Ch. 3.5 - A small coin is placed on the horizontal surface...Ch. 3.5 - The rotating drum of a clothes dryer is shown in...Ch. 3.5 - Prob. 87PCh. 3.5 - Prob. 88PCh. 3.5 - Prob. 89PCh. 3.5 - Prob. 90PCh. 3.5 - Prob. 91PCh. 3.5 - Prob. 92PCh. 3.5 - Prob. 93PCh. 3.5 - The slotted arm OB rotates in a horizontal plane...Ch. 3.5 - Prob. 95PCh. 3.5 - Prob. 96PCh. 3.6 - The spring is unstretched at the position x = 0....Ch. 3.6 - Prob. 98PCh. 3.6 - Prob. 99PCh. 3.6 - Prob. 100PCh. 3.6 - Prob. 101PCh. 3.6 - The small 0.1-kg slider enters the “loop-the-loop”...Ch. 3.6 - Prob. 103PCh. 3.6 - Prob. 104PCh. 3.6 - Prob. 105PCh. 3.6 - Prob. 106PCh. 3.6 - Prob. 107PCh. 3.6 - Prob. 108PCh. 3.6 - Prob. 109PCh. 3.6 - Prob. 110PCh. 3.6 - Prob. 111PCh. 3.6 - Prob. 112PCh. 3.6 - Prob. 113PCh. 3.6 - Prob. 114PCh. 3.6 - Prob. 115PCh. 3.6 - Prob. 116PCh. 3.6 - Prob. 117PCh. 3.6 - Prob. 118PCh. 3.6 - Prob. 119PCh. 3.6 - Prob. 120PCh. 3.6 - Prob. 121PCh. 3.6 - Prob. 122PCh. 3.6 - Prob. 123PCh. 3.6 - Prob. 124PCh. 3.6 - Two 425,000-lb locomotives pull fifty 200,000-lb...Ch. 3.6 - Prob. 126PCh. 3.6 - Prob. 127PCh. 3.6 - Prob. 128PCh. 3.6 - Prob. 129PCh. 3.6 - The system is released from rest with no slack in...Ch. 3.6 - Prob. 131PCh. 3.6 - Prob. 132PCh. 3.6 - Prob. 133PCh. 3.6 - Prob. 134PCh. 3.6 - The 6-kg cylinder is released from rest in the...Ch. 3.6 - Prob. 136PCh. 3.6 - Extensive testing of an experimental 2000-lb...Ch. 3.6 - The vertical motion of the 50-lb block is...Ch. 3.7 - Prob. 139PCh. 3.7 - Prob. 140PCh. 3.7 - Prob. 141PCh. 3.7 - Prob. 142PCh. 3.7 - Prob. 143PCh. 3.7 - Prob. 144PCh. 3.7 - Prob. 145PCh. 3.7 - Prob. 146PCh. 3.7 - Prob. 147PCh. 3.7 - Prob. 148PCh. 3.7 - The particle of mass m = 1.2 kg is attached to the...Ch. 3.7 - The 10-kg collar slides on the smooth vertical rod...Ch. 3.7 - The system is released from rest with the spring...Ch. 3.7 - The two wheels consisting of hoops and spokes of...Ch. 3.7 - Prob. 154PCh. 3.7 - The two 1.5-kg spheres are released from rest and...Ch. 3.7 - Prob. 156PCh. 3.7 - Prob. 157PCh. 3.7 - Prob. 158PCh. 3.7 - The small bodies A and B each of mass m are...Ch. 3.7 - Prob. 160PCh. 3.7 - Prob. 161PCh. 3.7 - Prob. 162PCh. 3.7 - Prob. 163PCh. 3.7 - A satellite is put into an elliptical orbit around...Ch. 3.7 - Prob. 165PCh. 3.7 - Prob. 166PCh. 3.7 - Prob. 167PCh. 3.7 - Prob. 168PCh. 3.7 - Prob. 169PCh. 3.7 - Prob. 170PCh. 3.7 - Prob. 171PCh. 3.7 - Prob. 172PCh. 3.9 - A 0.2-kg wad of clay is released from rest and...Ch. 3.9 - Prob. 174PCh. 3.9 - Prob. 175PCh. 3.9 - Prob. 176PCh. 3.9 - Prob. 177PCh. 3.9 - Prob. 178PCh. 3.9 - Careful measurements made during the impact of the...Ch. 3.9 - Prob. 180PCh. 3.9 - Prob. 181PCh. 3.9 - Prob. 182PCh. 3.9 - Crate A is traveling down the incline with a speed...Ch. 3.9 - The 15 200-kg lunar lander is descending onto the...Ch. 3.9 - A boy weighing 100 lb runs and jumps on his 20-lb...Ch. 3.9 - The snowboarder is traveling with a velocity of 6...Ch. 3.9 - Prob. 187PCh. 3.9 - Prob. 188PCh. 3.9 - Prob. 189PCh. 3.9 - Prob. 190PCh. 3.9 - Prob. 191PCh. 3.9 - Prob. 192PCh. 3.9 - Prob. 193PCh. 3.9 - Prob. 194PCh. 3.9 - All elements of the previous problem remain...Ch. 3.9 - Prob. 196PCh. 3.9 - Prob. 197PCh. 3.9 - Prob. 198PCh. 3.9 - The hydraulic braking system for the truck and...Ch. 3.9 - The 100-lb block is stationary at time t = 0, and...Ch. 3.9 - Prob. 201PCh. 3.9 - Prob. 202PCh. 3.9 - Prob. 203PCh. 3.9 - Prob. 204PCh. 3.9 - Prob. 205PCh. 3.9 - Prob. 206PCh. 3.9 - Prob. 207PCh. 3.9 - The 1.2-lb sphere is moving in the horizontal x-y...Ch. 3.9 - Prob. 209PCh. 3.9 - A tennis player strikes the tennis ball with her...Ch. 3.9 - Prob. 211PCh. 3.9 - Prob. 212PCh. 3.9 - Prob. 213PCh. 3.9 - Prob. 214PCh. 3.10 - Determine the magnitude HO of the angular momentum...Ch. 3.10 - Prob. 216PCh. 3.10 - Prob. 217PCh. 3.10 - Prob. 218PCh. 3.10 - Prob. 219PCh. 3.10 - Prob. 220PCh. 3.10 - Prob. 221PCh. 3.10 - Prob. 222PCh. 3.10 - Prob. 223PCh. 3.10 - Prob. 224PCh. 3.10 - Prob. 225PCh. 3.10 - Prob. 226PCh. 3.10 - Prob. 227PCh. 3.10 - Prob. 228PCh. 3.10 - Prob. 229PCh. 3.10 - Prob. 230PCh. 3.10 - A wad of clay of mass m1 with an initial...Ch. 3.10 - Prob. 232PCh. 3.10 - Prob. 233PCh. 3.10 - A particle moves on the inside surface of a smooth...Ch. 3.10 - Prob. 235PCh. 3.10 - Prob. 236PCh. 3.10 - Prob. 237PCh. 3.10 - Prob. 238PCh. 3.10 - Prob. 239PCh. 3.10 - Prob. 240PCh. 3.12 - Prob. 241PCh. 3.12 - Compute the final velocities v1′ and v2′ after...Ch. 3.12 - Prob. 243PCh. 3.12 - Prob. 244PCh. 3.12 - Prob. 245PCh. 3.12 - Prob. 246PCh. 3.12 - Prob. 247PCh. 3.12 - Prob. 248PCh. 3.12 - Prob. 249PCh. 3.12 - If the center of the ping-pong ball is to clear...Ch. 3.12 - Prob. 251PCh. 3.12 - Prob. 252PCh. 3.12 - Prob. 253PCh. 3.12 - Prob. 254PCh. 3.12 - Prob. 255PCh. 3.12 - A 0.1-kg meteor and a 1000-kg spacecraft have the...Ch. 3.12 - In a pool game the cue ball A must strike the...Ch. 3.12 - Prob. 258PCh. 3.12 - Prob. 259PCh. 3.12 - Prob. 260PCh. 3.12 - Prob. 261PCh. 3.12 - Prob. 262PCh. 3.12 - Prob. 263PCh. 3.12 - Prob. 264PCh. 3.12 - Prob. 265PCh. 3.12 - Prob. 266PCh. 3.12 - The 2-kg sphere is projected horizontally with a...Ch. 3.12 - Prob. 268PCh. 3.12 - Prob. 269PCh. 3.12 - Prob. 270PCh. 3.12 - Prob. 271PCh. 3.12 - Prob. 272PCh. 3.12 - Prob. 273PCh. 3.12 - Prob. 274PCh. 3.12 - Prob. 275PCh. 3.12 - Prob. 276PCh. 3.12 - Prob. 277PCh. 3.12 - Prob. 278PCh. 3.12 - Determine the speed v required of an earth...Ch. 3.12 - Prob. 280PCh. 3.12 - Prob. 281PCh. 3.12 - Prob. 282PCh. 3.12 - Prob. 283PCh. 3.12 - Prob. 284PCh. 3.12 - Prob. 285PCh. 3.12 - Compute the magnitude of the necessary launch...Ch. 3.12 - Prob. 287PCh. 3.12 - Prob. 288PCh. 3.12 - Prob. 289PCh. 3.12 - Prob. 290PCh. 3.12 - Prob. 291PCh. 3.12 - Prob. 292PCh. 3.12 - The perigee and apogee altitudes above the surface...Ch. 3.12 - Prob. 294PCh. 3.12 - Prob. 295PCh. 3.12 - Prob. 296PCh. 3.12 - Prob. 297PCh. 3.12 - Prob. 298PCh. 3.12 - Prob. 299PCh. 3.12 - Prob. 300PCh. 3.15 - Prob. 301RPCh. 3.15 - Prob. 302RPCh. 3.15 - Prob. 303RPCh. 3.15 - Prob. 304RPCh. 3.15 - Prob. 305RPCh. 3.15 - Prob. 306RPCh. 3.15 - Prob. 307RPCh. 3.15 - Prob. 308RPCh. 3.15 - Prob. 309RPCh. 3.15 - The slider A has a mass of 2 kg and moves with...Ch. 3.15 - Prob. 311RPCh. 3.15 - Prob. 312RPCh. 3.15 - Prob. 313RPCh. 3.15 - Prob. 314RPCh. 3.15 - A ball is released from rest relative to the...Ch. 3.15 - The small slider A moves with negligible friction...Ch. 3.15 - Prob. 317RPCh. 3.15 - Prob. 318RPCh. 3.15 - Prob. 319RPCh. 3.15 - Prob. 320RPCh. 3.15 - Prob. 321RPCh. 3.15 - The simple 2-kg pendulum is released from rest in...Ch. 3.15 - Prob. 323RPCh. 3.15 - Prob. 324RPCh. 3.15 - Prob. 325RPCh. 3.15 - Prob. 326RPCh. 3.15 - Prob. 327RPCh. 3.15 - Six identical spheres are arranged as shown in the...Ch. 3.15 - Prob. 329RPCh. 3.15 - Prob. 330RPCh. 3.15 - Prob. 331RPCh. 3.15 - Prob. 332RPCh. 3.15 - Prob. 333RPCh. 3.15 - Prob. 334RPCh. 3.15 - Prob. 335RPCh. 3.15 - Prob. 336RPCh. 3.15 - Prob. 337RPCh. 3.15 - Prob. 338RPCh. 3.15 - Prob. 339RPCh. 3.15 - The bungee jumper, an 80-kg man, falls from the...Ch. 3.15 - Prob. 341RPCh. 3.15 - Prob. 342RPCh. 3.15 - Prob. 343RPCh. 3.15 - Prob. 344RPCh. 3.15 - Prob. 345RPCh. 3.15 - Prob. 346RPCh. 3.15 - Prob. 347RPCh. 3.15 - Prob. 348RPCh. 3.15 - Prob. 349RPCh. 3.15 - Prob. 350RPCh. 3.15 - The tennis player practices by hitting the ball...Ch. 3.15 - A particle of mass m is introduced with zero...Ch. 3.15 - The system of Prob. 3/166 is repeated here. The...
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- The flow rate is 12.275 Liters/s and the diameter is 6.266 cm.arrow_forwardAn experimental setup is being built to study the flow in a large water main (i.e., a large pipe). The water main is expected to convey a discharge (Qp). The experimental tube will be built at a length scale of 1/20 of the actual water main. After building the experimental setup, the pressure drop per unit length in the model tube (APm/Lm) is measured. Problem (20): Given the value of APm/Lm [kPa/m], and assuming pressure coefficient similitude, calculate the drop in the pressure per unit length of the water main (APP/Lp) in [Pa/m]. Givens: AP M/L m = 590.637 kPa/m meen Answers: ( 1 ) 59.369 Pa/m ( 2 ) 73.83 Pa/m (3) 95.443 Pa/m ( 4 ) 44.444 Pa/m *******arrow_forwardFind the reaction force in y if Ain = 0.169 m^2, Aout = 0.143 m^2, p_in = 0.552 atm, Q = 0.367 m^3/s, α = 31.72 degrees. The pipe is flat on the ground so do not factor in weight of the pipe and fluid.arrow_forward
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