FUNDAMENTALS OF FLUID MECHANICS
8th Edition
ISBN: 9781119571490
Author: GERHART
Publisher: WILEY
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Chapter 2.12, Problem 154P
To determine
The tension in the string connecting the rod to the cylinder.
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Figure: 06_P041
Copyright 2013 Pearson Education, publishing a Prentice Hall
2. Determine the force that the jaws J of the metal cutters exert on the smooth cable C if 100-N
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30 mm² 80 mm
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Figure: 06_P090
Copyright 2013 Pearson Education, publishing as Prentice Hall
15°
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A telemetry system is used to quantify kinematic values of a ski jumper immediately before the jumper leaves the ramp. According to the system r=560 ft , r˙=−105 ft/s , r¨=−10 ft/s2 , θ=25° , θ˙=0.07 rad/s , θ¨=0.06 rad/s2 Determine the velocity of the skier immediately before leaving the jump.
The velocity of the skier immediately before leaving the jump along with its direction is ? I have 112.08 ft/s but can't seem to get the direction correct. Determine the acceleration of the skier at this instant.
At this instant, the acceleration of the skier along with its direction is ? acceleration is 22.8 ft/s^2 but need help with direction. Need help with velocity direction and acceleration direction please.
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Chapter 2 Solutions
FUNDAMENTALS OF FLUID MECHANICS
Ch. 2.3 - Prob. 1PCh. 2.3 - The deepest known spot in the oceans is the...Ch. 2.3 - A closed tank is partially filled with glycerin....Ch. 2.3 - A 3-m-diameter vertical cylindrical tank is filled...Ch. 2.3 - Blood pressure is usually given as a ratio of the...Ch. 2.3 - An unknown immiscible liquid seeps into the bottom...Ch. 2.3 - A 30-ft-high downspout of a house is clogged at...Ch. 2.3 - How high a column of SAE 30 oil would be required...Ch. 2.3 - Bathyscaphes are capable of submerging to great...Ch. 2.3 - The deepest known spot in the oceans is the...
Ch. 2.3 - A submarine submerges by admitting seawater (S =...Ch. 2.3 - Determine the pressure at the bottom of an open...Ch. 2.3 - In a certain liquid at rest, measurements of the...Ch. 2.3 - Because of elevation differences, the water...Ch. 2.3 - Under normal conditions the temperature of the...Ch. 2.3 - Often young children drink milk (ρ = 1030 kg/m3)...Ch. 2.3 - (See The Wide World of Fluids article titled...Ch. 2.4 - What would be the barometric pressure reading, in...Ch. 2.4 - Denver, Colorado, is called the “mile-high city”...Ch. 2.4 - Prob. 20PCh. 2.4 - Pikes Peak near Denver, Colorado, has an elevation...Ch. 2.4 - Equation 2.12 provides the relationship between...Ch. 2.4 - As shown in Fig. 2.6 for the U.S. standard...Ch. 2.4 - (See The Wide World of Fluids article titled...Ch. 2.5 - On a given day, a barometer at the base of the...Ch. 2.5 - Aneroid barometers can be used to measure changes...Ch. 2.5 - Bourdon gages (see Video V2.4 and Fig. 2.13) are...Ch. 2.5 - On the suction side of a pump, a Bourdon pressure...Ch. 2.5 - A Bourdon pressure gage attached to the outside of...Ch. 2.6 - Obtain a photograph/image of a situation in which...Ch. 2.6 - A U-tube manometer is used to check the pressure...Ch. 2.6 - A barometric pressure of 29.4 in. Hg corresponds...Ch. 2.6 - For an atmospheric pressure of 101 kPa (abs)...Ch. 2.6 - The closed tank of Fig. P.2.34 is filled with...Ch. 2.6 - A mercury manometer is connected to a large...Ch. 2.6 - The U-tube manometer shown in Fig. P2.36 has two...Ch. 2.6 - A U-tube manometer is connected to a closed tank...Ch. 2.6 - The container shown in Fig. P2.38 holds 60 °F...Ch. 2.6 - A closed cylindrical tank filled with water has a...Ch. 2.6 - Two pipes are connected by a manometer as shown in...Ch. 2.6 - Find the percentage difference in the readings of...Ch. 2.6 - A U-tube manometer is connected to a closed tank...Ch. 2.6 - For the inclined-tube manometer of Fig. P2.43, the...Ch. 2.6 - A flowrate measuring device is installed in a...Ch. 2.6 - The sensitivity Sen of the micromanometer shown in...Ch. 2.6 - The cylindrical tank with hemispherical ends shown...Ch. 2.6 - Determine the elevation difference. Δh, between...Ch. 2.6 - What is the specific gravity of the liquid in the...Ch. 2.6 - For the configuration shown in Fig. P2.49 what...Ch. 2.6 - The manometer shown in Fig. P2.50 has an air...Ch. 2.6 - The U-tube manometer shown in Fig. P2.51 has legs...Ch. 2.6 - Both ends of the U-tube mercury manometer of Fig....Ch. 2.6 - The inverted U-tube manometer of Fig. P2.53...Ch. 2.6 - An inverted U-tube manometer containing oil (SG =...Ch. 2.6 - The sensitivity Sen of the manometer shown in Fig....Ch. 2.6 - In Fig. P2.56 pipe A contains gasoline (SG = 0.7),...Ch. 2.6 - The mercury manometer of Fig. P2.57 indicates a...Ch. 2.6 - Consider the cistern manometer shown in Fig....Ch. 2.6 - Prob. 59PCh. 2.6 - Prob. 60PCh. 2.6 - Determine the new differential reading along the...Ch. 2.6 - Prob. 62PCh. 2.6 - Determine the ratio of areas, A1/A2, of the two...Ch. 2.6 - Prob. 64PCh. 2.6 - Prob. 65PCh. 2.6 - An inverted hollow cylinder is pushed into the...Ch. 2.8 - Obtain a photograph/image of a situation in which...Ch. 2.8 - The basic elements of a hydraulic press are shown...Ch. 2.8 - The hydraulic cylinder shown in Fig. P2.69, with a...Ch. 2.8 - A Bourdon gage (see Fig. 2.13 and Video V2.4) is...Ch. 2.8 - A bottle jack allows an average person to lift one...Ch. 2.8 - Suction is often used in manufacturing processes...Ch. 2.8 - A piston having a cross-sectional area of 0.07 m2...Ch. 2.8 - Prob. 74PCh. 2.8 - The container shown in Fig. P2.75 has square cross...Ch. 2.8 - Find the weight W needed to hold the wall shown in...Ch. 2.8 - Determine the magnitude and direction of the force...Ch. 2.8 - An automobile has just dropped into a river. The...Ch. 2.8 - Consider the gate shown in Fig. P2.79. The gate is...Ch. 2.8 - Will the gate in Problem 44 ever open?
Ch. 2.8 - A tank contains 6 in. of oil (S = 0.82) above 6...Ch. 2.8 - A structure is attached to the ocean floor as...Ch. 2.8 - Concrete is poured into the forms as shown in Fig....Ch. 2.8 - A long, vertical wall separates seawater from...Ch. 2.8 - Forms used to make a concrete basement wall are...Ch. 2.8 - While building a high, tapered concrete wall,...Ch. 2.8 - A homogeneous, 4-ft-wide, 8-ft-long rectangular...Ch. 2.8 - A gate having the shape shown in Fig. P2.88 is...Ch. 2.8 - A pump supplies water under pressure to a large...Ch. 2.8 - Prob. 90PCh. 2.8 - Prob. 91PCh. 2.8 - The dam shown in Fig. P2.92 is 200 ft long and is...Ch. 2.8 - Prob. 93PCh. 2.8 - Figure P2.94 is a representation of the Keswick...Ch. 2.8 - The Keswick dam in Problem 2.94 is made of...Ch. 2.8 - The Keswick dam in Problem 2.94 is made of...Ch. 2.8 - Prob. 97PCh. 2.8 - Prob. 98PCh. 2.8 - Find the magnitude and location of the net...Ch. 2.8 - Prob. 100PCh. 2.8 - Find the total vertical force on the cylinder...Ch. 2.8 - A 3-m-wide, 8-m-high rectangular gate is located...Ch. 2.8 - A gate having the cross section shown in Fig....Ch. 2.8 - The massless, 4-ft-wide gate shown in Fig. P2.104...Ch. 2.8 - A 200-lb homogeneous gate 10 ft wide and 5 ft long...Ch. 2.8 - An open tank has a vertical partition and on one...Ch. 2.8 - Prob. 107PCh. 2.8 - A 4-ft by 3-ft massless rectangular gate is used...Ch. 2.8 - A thin 4-ft-wide, right-angle gate with negligible...Ch. 2.8 - The closed vessel of Fig. P2.110 contains water...Ch. 2.8 - (See The Wide World of Fluids article titled “The...Ch. 2.10 - Obtain a photograph/image of a situation in which...Ch. 2.10 - Prob. 113PCh. 2.10 - Prob. 114PCh. 2.10 - Figure P2.115 shows a cross section of a submersed...Ch. 2.10 - The container shown in Fig. P2.116 has circular...Ch. 2.10 - The 18-ft-long lightweight gate of Fig. P2.117 is...Ch. 2.10 - The air pressure in the top of the 2-liter pop...Ch. 2.10 - In drilling for oil in the Gulf of Mexico, some...Ch. 2.10 -
Hoover Dam (see Video 2.5) is the highest...Ch. 2.10 - A plug in the bottom of a pressurized tank is...Ch. 2.10 -
The homogeneous gate shown in Fig. P2.122...Ch. 2.10 - The concrete (specific weight = 150 lb/ft3)...Ch. 2.10 - Prob. 124PCh. 2.10 - Find the magnitude, direction, and location of the...Ch. 2.10 - A 10-m-long log is stuck against a dam, as shown...Ch. 2.10 - Prob. 127PCh. 2.10 - Prob. 128PCh. 2.10 - Prob. 129PCh. 2.10 - Prob. 130PCh. 2.10 - Prob. 131PCh. 2.11 - Prob. 132PCh. 2.11 - An iceberg (specific gravity 0.917) floats in the...Ch. 2.11 - Prob. 134PCh. 2.11 - Prob. 135PCh. 2.11 - Prob. 136PCh. 2.11 - Prob. 137PCh. 2.11 - Prob. 138PCh. 2.11 - Estimate the minimum water depth needed to float a...Ch. 2.11 - Prob. 140PCh. 2.11 - Prob. 141PCh. 2.11 - Prob. 142PCh. 2.11 - Prob. 143PCh. 2.11 - A solid cylindrical pine (S = 0.50) spar buoy has...Ch. 2.11 - Prob. 145PCh. 2.11 - Prob. 146PCh. 2.11 - Prob. 147PCh. 2.11 - A submarine is modeled as a cylinder with a length...Ch. 2.12 - Prob. 149PCh. 2.12 - Prob. 150PCh. 2.12 - Prob. 151PCh. 2.12 - Prob. 152PCh. 2.12 - Prob. 153PCh. 2.12 - The cylinder in Fig. P2.154 accelerates to the...Ch. 2.12 - A closed cylindrical tank that is 8 ft in diameter...Ch. 2.12 - The cart shown in Fig. P2.156 measures 10.0 cm...Ch. 2.12 - The U-tube manometer in Fig. P2.157 is used to...Ch. 2.12 - Prob. 158PCh. 2.12 - An open 1-m-diameter tank contains water at a...Ch. 2.12 - Prob. 160PCh. 2.12 - Prob. 161PCh. 2.12 - Prob. 162PCh. 2.12 - Prob. 163P
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- only 21arrow_forwardonly 41arrow_forwardNormal and tangential components-relate to x-y coordinates A race car enters the circular portion of a track that has a radius of 65 m. When the car enters the curve at point P, it is traveling with a speed of 120 km/h that is increasing at 5 m/s^2 . Three seconds later, determine the x and y components of velocity and acceleration of the car. I need help with finding the y component of the total acceleration. I had put -32 but its incorrect. but i keep getting figures around that numberarrow_forward
- The bracket BCD is hinged at C and attached to a control cable at B. Let F₁ = 275 N and F2 = 275 N. F1 B a=0.18 m C A 0.4 m -0.4 m- 0.24 m Determine the reaction at C. The reaction at C N Z F2 Darrow_forwardConsider the angle bar shown in the given figure A W 240 mm B 80 mm Draw the free-body diagram needed to determine the reactions at A and B when a = 150 mm. This problem could also be approached as a 3-force body using method of Section 4.2B.arrow_forwardA telemetry system is used to quantify kinematic values of a ski jumper immediately before the jumper leaves the ramp. According to the system r=560 ft , r˙=−105 ft/s , r¨=−10 ft/s2 , θ=25° , θ˙=0.07 rad/s , θ¨=0.06 rad/s2 Determine the velocity of the skier immediately before leaving the jump. The velocity of the skier immediately before leaving the jump along with its direction is ? I have 112.08 ft/s but can't seem to get the direction correct. Determine the acceleration of the skier at this instant. At this instant, the acceleration of the skier along with its direction is ? acceleration is 22.8 ft/s^2 but need help with direction. Need help with velocity direction and acceleration direction please.arrow_forward
- For the stop bracket shown, locate the x coordinate of the center of gravity. Consider a = = 16.50 mm. 34 mm 62 mm 51 mm 10 mm 100 mm 88 mm 55 mm 45 mm The x coordinate of the center of gravity is mm.arrow_forwardIn the given figure, the bent rod ABEF is supported by bearings at C and D and by wire AH. The portion AB of the rod is 250 mm long, and the load W is 580 N. Assume that the bearing at D does not exert any axial thrust. H B A с 30° 250 mm D Z 50 mm 300 mm F 250 mm 50 mm W Draw the free-body diagram needed to determine the tension in wire AH and the reactions at C and D.arrow_forwardA 10-ft boom is acted upon by the 810-lb force as shown in the figure. D 6 ft 6 ft E B 7 ft C 6 ft x 4 ft W Draw the free-body diagram needed to determine the tension in each cable and the reaction at the ball-and-socket joint at A.arrow_forward
- Locate the center of gravity of the sheet-metal form shown. Given: r = 26.40 mm . 50 mm 40 mm X 150 mm The center of gravity (✗) of the sheet-metal form is The center of gravity (Y) of the sheet-metal form is The center of gravity ( Z ) of the sheet-metal form is mm. mm. (Round the final answer to three decimal places.) mm.arrow_forwardDetermine the reactions at the beam supports for the given loading if W = 300 lb/ft . W 6 ft A 9 ft. 6 ft- The reaction at Bis lb. The reaction at A is lb. Barrow_forwardIn the given figure, the bent rod ABEF is supported by bearings at C and D and by wire AH. The portion AB of the rod is 250 mm long, and the load W is 580 N. Assume that the bearing at D does not exert any axial thrust. 30° 250 mm 300 mm 50 mm H B C D 50 mm W 250 mm Determine the reactions at C and D. (Include a minus sign if necessary.) The reaction at Cis N) j + N)k The reaction at Dis N) j + ( N)karrow_forward
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