Fluid Mechanics (2nd Edition)
2nd Edition
ISBN: 9780134649290
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 10, Problem 66P
To determine
The discharge through the pipe.
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6. Consider a 10N step input to the mechanical system shown below, take M = 15kg, K = 135N/m, and
b = 0.4 Ns/m.
(a) Assume zero initial condition, calculate the
(i)
System pole
(ii)
System characterization, and
(iii) The time domain response
(b) Calculate the steady-state value of the system
b
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2. Solve the following linear time invariant differential equations using Laplace transforms subject to
different initial conditions
(a) y-y=t
for y(0) = 1 and y(0) = 1
(b) ÿ+4y+ 4y = u(t)
for y(0) = 0 and y(0) = 1
(c) y-y-2y=0
for y(0) = 1 and y(0) = 0
3. For the mechanical systems shown below, the springs are undeflected when x₁ = x2 = x3 = 0 and
the input is given as fa(t). Draw the free-body diagrams and write the modeling equations governing
each of the systems.
K₁
000
K₂
000
M₁
M2
-fa(t)
B₂
B₁
(a)
fa(t)
M2
K₂
000
B
K₁
x1
000
M₁
(b)
Chapter 10 Solutions
Fluid Mechanics (2nd Edition)
Ch. 10 - Prob. 1FPCh. 10 - Water at a temperature of 25°C is pumped through...Ch. 10 - Water at a temperature of 25°C flows through a...Ch. 10 - SAE 10W30 oil flows from one tank to another when...Ch. 10 - The tank is filled with water at a temperature of...Ch. 10 - Prob. 1PCh. 10 - Prob. 2PCh. 10 - Prob. 3PCh. 10 - Prob. 4PCh. 10 - Determine the flow of methane at T = 68°F in ft3/h...
Ch. 10 - Water in the old 15-in.-diameter concrete drain...Ch. 10 - Water at 20°C flows upwards through the...Ch. 10 - Water at 60°F is delivered horizontally through a...Ch. 10 - A horizontal 40-ft-long galvanized iron pipe...Ch. 10 - Air at 80°F flows through the commercial steel...Ch. 10 - If the pressure drop along the 10-ft-long...Ch. 10 - Prob. 12PCh. 10 - Prob. 13PCh. 10 - Determine the greatest air flow Q through the...Ch. 10 - Water in the concrete detention pond is to be...Ch. 10 - Water is pumped from the river through a...Ch. 10 - Prob. 17PCh. 10 - Prob. 18PCh. 10 - The 20-mm-diameter copper coil is used for a solar...Ch. 10 - Water at T = 70°F flows through the...Ch. 10 - Prob. 21PCh. 10 - A 450-ft-long horizontal commercial steel pipe...Ch. 10 - Air at 60°F is transported by the fan at the rate...Ch. 10 - A cast iron pipe having a diameter of 100 mm is...Ch. 10 - A cast iron pipe having a diameter of 100 mm is...Ch. 10 - Water at 70°F flows through the 3-in.-diameter...Ch. 10 - Prob. 27PCh. 10 - A 150-mm-diameter galvanized iron pipe is used to...Ch. 10 - Prob. 29PCh. 10 - Water at 80°F is pumped from the well through a...Ch. 10 - Prob. 31PCh. 10 - Prob. 32PCh. 10 - A 75-mm-diameter galvanized iron pipe, having a...Ch. 10 - Prob. 34PCh. 10 - Prob. 35PCh. 10 - Prob. 36PCh. 10 - Prob. 37PCh. 10 - Prob. 38PCh. 10 - Prob. 39PCh. 10 - Prob. 40PCh. 10 - Prob. 41PCh. 10 - Sewage, assumed to be water where ρ = 998.3 kg/m3,...Ch. 10 - Sewage, assumed to be water where ρ = 998.3 kg/m3,...Ch. 10 - Determine the power the pump must supply in order...Ch. 10 - Prob. 45PCh. 10 - Prob. 46PCh. 10 - Prob. 47PCh. 10 - Prob. 48PCh. 10 - Prob. 49PCh. 10 - The sump pump is required to lift water from the...Ch. 10 - The submersible pump is used to fill the...Ch. 10 - Prob. 52PCh. 10 - Prob. 53PCh. 10 - The pressure of air in a large tank at A is 40...Ch. 10 - The 100-mm-diameter commercial steel pipe...Ch. 10 - The 100-mm-diameter commercial steel pipe...Ch. 10 - Prob. 57PCh. 10 - Water flows at 900 gal/min through the...Ch. 10 - Water at 20°C flows through the 20-mm-diameter...Ch. 10 - Water at 80°F flows at 5 ft/s through the...Ch. 10 - Water at 80°F flows at 5 ft/s through the...Ch. 10 - Water at 15°C is pumped from the reservoir A into...Ch. 10 - Water at 80°F flows from the large reservoir...Ch. 10 - Water at 50°F flows through the 2-in.-diameter...Ch. 10 - An automatic sprinkler system for a yard is made...Ch. 10 - Water at 70°F is pumped through the two commercial...Ch. 10 - Prob. 67PCh. 10 - Prob. 68PCh. 10 - Water at 25°C is pumped into the galvanized iron...Ch. 10 - Prob. 70PCh. 10 - The two water tanks are connected together using...Ch. 10 - Prob. 72PCh. 10 - Prob. 73P
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- This question i m uploading second time . before you provide me incorrect answer. read the question carefully and solve accordily.arrow_forward1. Create a table comparing five different analogous variables for translational, rotational, electrical and fluid systems. Include the standard symbols for each variable in their respective systems.arrow_forward2) Suppose that two unequal masses m₁ and m₂ are moving with initial velocities v₁ and v₂, respectively. The masses hit each other and have a coefficient of restitution e. After the impact, mass 1 and 2 head to their respective gaps at angles a and ẞ, respectively. Derive expressions for each of the angles in terms of the initial velocities and the coefficient of restitution. m1 m2 8 m1 m2 βarrow_forward
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- 1 - Clearly identify the system and its mass and energy exchanges between each system and its surroundings by drawing a box to represent the system boundary, and showing the exchanges by input and output arrows. You may want to search and check the systems on the Internet in case you are not familiar with their operations. A pot with boiling water on a gas stove A domestic electric water heater A motor cycle driven on the roadfrom thermodynamics You just need to draw and put arrows on the first part a b and carrow_forward7. A distributed load w(x) = 4x1/3 acts on the beam AB shown in Figure 7, where x is measured in meters and w is in kN/m. The length of the beam is L = 4 m. Find the moment of the resultant force about the point B. w(x) per unit length L Figure 7 Barrow_forward4. The press in Figure 4 is used to crush a small rock at E. The press comprises three links ABC, CDE and BG, pinned to each other at B and C, and to the ground at D and G. Sketch free-body diagrams of each component and hence determine the force exerted on the rock when a vertical force F = 400 N is applied at A. 210 80 80 C F 200 B 80 E 60% -O-D G All dimensions in mm. Figure 4arrow_forward
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