Vector Mechanics for Engineers: Statics
12th Edition
ISBN: 9781259977268
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek
Publisher: McGraw-Hill Education
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Chapter 8.2, Problem 8.76P
To determine
Find the magnitude of the force P.
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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 8 Solutions
Vector Mechanics for Engineers: Statics
Ch. 8.1 - Knowing that the coefficient of friction between...Ch. 8.1 - Two blocks A and B are connected by a cable as...Ch. 8.1 - A cord is attached to and partially wound around a...Ch. 8.1 - A 40-kg packing crate must be moved to the left...Ch. 8.1 - Determine whether the block shown is in...Ch. 8.1 - Prob. 8.2PCh. 8.1 - Prob. 8.3PCh. 8.1 - Prob. 8.4PCh. 8.1 - Prob. 8.5PCh. 8.1 - The 20-lb block A hangs from a cable as shown....
Ch. 8.1 - The 10-kg block is attached to link AB and rests...Ch. 8.1 - Considering only values of less than 90,...Ch. 8.1 - The coefficients of friction between the block and...Ch. 8.1 - The coefficients of friction between the block and...Ch. 8.1 - The 50-lb block A and the 25-lb block B are...Ch. 8.1 - The 50-lb block A and the 25-lb block B are...Ch. 8.1 - Three 4-kg packages A, B, and C are placed on a...Ch. 8.1 - Solve Prob. 8.13 assuming that package B is placed...Ch. 8.1 - A uniform crate with a mass of 30 kg must be moved...Ch. 8.1 - A worker slowly moves a 50-kg crate to the left...Ch. 8.1 - Prob. 8.17PCh. 8.1 - A 200-lb sliding door is mounted on a horizontal...Ch. 8.1 - Prob. 8.19PCh. 8.1 - Solve Prob. 8.19 assuming that the coefficients of...Ch. 8.1 - Prob. 8.21PCh. 8.1 - The cylinder shown has a weight W and radius r,...Ch. 8.1 - The 10-lb uniform rod AB is held in the position...Ch. 8.1 - In Prob. 8.23, determine the largest value of P...Ch. 8.1 - A 6. 5-m ladder AB leans against a wall as shown....Ch. 8.1 - A 6. 5-m ladder AB leans against a wall as shown....Ch. 8.1 - The press shown is used to emboss a small seal at...Ch. 8.1 - The machine base shown has a mass of 75 kg and is...Ch. 8.1 - The 50-lb plate ABCD is attached at A and D to...Ch. 8.1 - In Prob. 8.29, determine the range of values of...Ch. 8.1 - A window sash weighing 10 lb is normally supported...Ch. 8.1 - A 500-N concrete block is to be lifted by the pair...Ch. 8.1 - Prob. 8.33PCh. 8.1 - A driver starts the engine of an automobile that...Ch. 8.1 - Prob. 8.35PCh. 8.1 - Prob. 8.36PCh. 8.1 - A 1.2-m plank with a mass of 3 kg rests on two...Ch. 8.1 - Two identical uniform boards, each with a weight...Ch. 8.1 - Prob. 8.39PCh. 8.1 - Prob. 8.40PCh. 8.1 - A 10-ft beam, weighing 1200 lb, is to be moved to...Ch. 8.1 - (a) Show that the beam of Prob. 8.41 cannot be...Ch. 8.1 - Two 8-kg blocks A and B resting on shelves are...Ch. 8.1 - A slender steel rod with a length of 225 mm is...Ch. 8.1 - In Prob. 8.44, determine the smallest value of ...Ch. 8.1 - Two slender rods of negligible weight are...Ch. 8.1 - Two slender rods of negligible weight are...Ch. 8.2 - The machine part ABC is supported by a...Ch. 8.2 - Solve Prob. 8.48 assuming that the wedge is moved...Ch. 8.2 - 8.50 and 8.51 Two 6 wedges of negligible weight...Ch. 8.2 - 8.50 and 8.51 Two 6 wedges of negligible weight...Ch. 8.2 - The elevation of the end of the steel beam...Ch. 8.2 - Prob. 8.53PCh. 8.2 - Block A supports a pipe column and rests as shown...Ch. 8.2 - Block A supports a pipe column and rests as shown...Ch. 8.2 - Block A supports a pipe column and rests as shown...Ch. 8.2 - A 200-lb block rests as shown on a wedge of...Ch. 8.2 - A 15 wedge is forced into a saw cut to prevent...Ch. 8.2 - A 12 wedge is used to spread a split ring. The...Ch. 8.2 - The spring of the door latch has a constant of 1.8...Ch. 8.2 - Prob. 8.61PCh. 8.2 - Prob. 8.62PCh. 8.2 - Prob. 8.63PCh. 8.2 - A 15 wedge is forced under a 50-kg pipe as shown....Ch. 8.2 - A 15 wedge is forced under a 50-kg pipe as shown....Ch. 8.2 - Prob. 8.66PCh. 8.2 - Prob. 8.67PCh. 8.2 - Derive the following formulas relating the load W...Ch. 8.2 - The square-threaded worm gear shown has a mean...Ch. 8.2 - Prob. 8.70PCh. 8.2 - High-strength bolts are used in the construction...Ch. 8.2 - The position of the automobile jack shown is...Ch. 8.2 - For the jack of Prob. 8.72, determine the...Ch. 8.2 - Prob. 8.74PCh. 8.2 - Prob. 8.75PCh. 8.2 - Prob. 8.76PCh. 8.3 - A lever of negligible weight is loosely fitted...Ch. 8.3 - A 6-in.-radius pulley of weight 5 lb is attached...Ch. 8.3 - 8.79 and 8.80 The double pulley shown is attached...Ch. 8.3 - Prob. 8.80PCh. 8.3 - 8.81 and 8.82 The double pulley shown is attached...Ch. 8.3 - 8.81 and 8.82 The double pulley shown is attached...Ch. 8.3 - The block and tackle shown are used to raise a...Ch. 8.3 - The block and tackle shown are used to lower a...Ch. 8.3 - A scooter is to be designed to roll down a 2...Ch. 8.3 - The link arrangement shown is frequently used in...Ch. 8.3 - 8.87 and 8.88 A lever AB of negligible weight is...Ch. 8.3 - 8.87 and 8.88 A lever AB of negligible weight is...Ch. 8.3 - 8.89 and 8.90 A lever AB of negligible weight is...Ch. 8.3 - 8.89 and 8.90 A lever AB of negligible weight is...Ch. 8.3 - A loaded railroad car has a mass of 30 Mg and is...Ch. 8.3 - Prob. 8.92PCh. 8.3 - A 50-lb electric floor polisher is operated on a...Ch. 8.3 - The frictional resistance of a thrust bearing...Ch. 8.3 - Assuming that bearings wear out as indicated in...Ch. 8.3 - Assuming that the pressure between the surfaces of...Ch. 8.3 - Solve Prob. 8.93 assuming that the normal force...Ch. 8.3 - Determine the horizontal force required to move a...Ch. 8.3 - Knowing that a 6-in.-diameter disk rolls at a...Ch. 8.3 - A 900-kg machine base is rolled along a concrete...Ch. 8.3 - Solve Prob. 8.85 including the effect of a...Ch. 8.3 - Solve Prob. 8.91 including the effect of a...Ch. 8.4 - A rope having a weight per unit length of 0.4...Ch. 8.4 - A hawser is wrapped two full turns around a...Ch. 8.4 - Two cylinders are connected by a rope that passes...Ch. 8.4 - Two cylinders are connected by a rope that passes...Ch. 8.4 - The coefficient of static friction between block B...Ch. 8.4 - The coefficient of static friction S is the same...Ch. 8.4 - A band belt is used to control the speed of a...Ch. 8.4 - The setup shown is used to measure the output of a...Ch. 8.4 - The setup shown is used to measure the output of a...Ch. 8.4 - A flat belt is used to transmit a couple from drum...Ch. 8.4 - A flat belt is used to transmit a couple from...Ch. 8.4 - Prob. 8.114PCh. 8.4 - The speed of the brake drum shown is controlled by...Ch. 8.4 - Prob. 8.116PCh. 8.4 - The speed of the brake drum shown is controlled by...Ch. 8.4 - Bucket A and block C are connected by a cable that...Ch. 8.4 - Solve Prob. 8.118 assuming that drum B is frozen...Ch. 8.4 - Prob. 8.120PCh. 8.4 - 8.121 and 8.123 A cable is placed around three...Ch. 8.4 - Prob. 8.122PCh. 8.4 - 8.121 and 8.123 A cable is placed around three...Ch. 8.4 - A recording tape passes over the 20-mm-radius...Ch. 8.4 - Solve Prob. 8.124 assuming that the idler drum C...Ch. 8.4 - Prob. 8.126PCh. 8.4 - The axle of the pulley is frozen and cannot rotate...Ch. 8.4 - Prob. 8.128PCh. 8.4 - Prob. 8.129PCh. 8.4 - Prove that Eqs. (8.13) and (8.14) are valid for...Ch. 8.4 - Prob. 8.131PCh. 8.4 - Solve Prob. 8.112 assuming that the flat belt and...Ch. 8.4 - Solve Prob. 8.113 assuming that the flat belt and...Ch. 8 - 8.134 and 8.135 The coefficients of friction are S...Ch. 8 - 8.134 and 8.135 The coefficients of friction are S...Ch. 8 - A 120-lb cabinet is mounted on casters that can be...Ch. 8 - Prob. 8.137RPCh. 8 - The hydraulic cylinder shown exerts a force of 3...Ch. 8 - Prob. 8.139RPCh. 8 - Bar AB is attached to collars that can slide on...Ch. 8 - Two 10 wedges of negligible weight are used to...Ch. 8 - A 10 wedge is used to split a section of a log....Ch. 8 - In the gear-pulling assembly shown, the...Ch. 8 - A lever of negligible weight is loosely fitted...Ch. 8 - In the pivoted motor mount shown, the weight W of...
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