
Vector Mechanics for Engineers: Statics
12th Edition
ISBN: 9781259977268
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 10.2, Problem 10.59P
Using the method of Sec. 10.2C, solve Prob. 10.29.
10.29 Two rods AC and CE are connected by a pin at C and by a spring AE. The constant of the spring is k, and the spring is unstretched when θ = 30°. For the loading shown, derive an equation in P, θ, l, and k that must be satisfied when the system is in equilibrium.
Fig. P10.29and P10.30
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Include a graph
A particular furnace is shaped like a section of a cone. The top surface of the furnace is
uniformly heated by a resistance heater. During operation, the top surface is measured to
be 800 K and the power supplied to the resistance heater is 1750 W/m². The sidewall of
the furnace is perfectly insulated with ε = 0.2. If the emissivity of the top and bottom
surfaces are ε = 0.5 and > = 0.7, respectively, determine the temperatures of the
sidewall and the bottom surface of the furnace.
A1
D₂ = 20 mm
A₂
L = 50 mm
D₁
= 40 mm
You are designing an industrial furnace to keep pieces of sheet metal at a fixed temperature.
You decide a long, hemispherical furnace will be the best choice. The hemispherical portion
is built from insulating brick to reflect the radiation from a ceramic plate onto the sheet
metal and the ceramic plate is heated by gas burners from below. An insulating wall
prevents direct transmission of radiative energy from the ceramic plate to the sheet metal.
The radius of the hemisphere is 1 m and the rest of the system properties can be found in
the table below. You may neglect convection during your analysis.
Temperature
Emissivity
Ceramic Plate
1600 K
ε = 0.85
Sheet Metal
500 K
Insulating Brick
unknown
€ = 1
ε = 0.6
a) Calculate the required heat input, in W, per unit length of the furnace (out of the
page) that must be supplied by the gas burners to maintain the specified
temperatures.
b) What is the temperature of the insulating brick surface?
Metal products (2)
T₂ = 500 K, &- 1
-…
Chapter 10 Solutions
Vector Mechanics for Engineers: Statics
Ch. 10.1 - Determine the vertical force P that must be...Ch. 10.1 - Determine the horizontal force P that must be...Ch. 10.1 - Prob. 10.3PCh. 10.1 - 10.3 and 10.4 Determine the couple M that must be...Ch. 10.1 - A spring of constant 15 kN/m connects points C and...Ch. 10.1 - A spring of constant 15 kN/m connects points C and...Ch. 10.1 - The two-bar linkage shown is supported by a pin...Ch. 10.1 - Determine the weight W that balances the 10-lb...Ch. 10.1 - Prob. 10.9PCh. 10.1 - Prob. 10.10P
Ch. 10.1 - Prob. 10.11PCh. 10.1 - Knowing that the line of action of the force Q...Ch. 10.1 - Solve Prob. 10.12 assuming that the force P...Ch. 10.1 - The mechanism shown is acted upon by the force P....Ch. 10.1 - Prob. 10.15PCh. 10.1 - 10.15 and 10.16 Derive an expression for the...Ch. 10.1 - A uniform rod AB with length l and weight W is...Ch. 10.1 - The pin at C is attached to member BCD and can...Ch. 10.1 - For the linkage shown, determine the couple M...Ch. 10.1 - For the linkage shown, determine the force...Ch. 10.1 - A 4-kN force P is applied as shown to the piston...Ch. 10.1 - A couple M with a magnitude of 100 Nm isapplied as...Ch. 10.1 - Rod AB is attached to a block at A that can...Ch. 10.1 - Solve Prob. 10.23, assuming that the 800-N force...Ch. 10.1 - Prob. 10.25PCh. 10.1 - Determine the value of corresponding to...Ch. 10.1 - Prob. 10.27PCh. 10.1 - Determine the value of corresponding to...Ch. 10.1 - Prob. 10.29PCh. 10.1 - Two rods AC and CE are connected by a pin at Cand...Ch. 10.1 - Solve Prob. 10.30 assuming that force P is movedto...Ch. 10.1 - Two bars AD and DG are connected by a pin at Dand...Ch. 10.1 - Solve Prob. 10.32 assuming that the 900-N...Ch. 10.1 - Two 5-kg bars AB and BC are connected by a pin atB...Ch. 10.1 - A vertical force P with a magnitude of 150 N...Ch. 10.1 - Prob. 10.36PCh. 10.1 - 10.37 and 10.38 Knowing that the constant of...Ch. 10.1 - Prob. 10.38PCh. 10.1 - The lever AB is attached to the horizontal shaft...Ch. 10.1 - Solve Prob. 10.39, assuming that P = 350 N, l =250...Ch. 10.1 - Prob. 10.41PCh. 10.1 - The position of boom ABC is controlled by...Ch. 10.1 - The position of member ABC is controlled by the...Ch. 10.1 - The position of member ABC is controlled by...Ch. 10.1 - The telescoping arm ABC is used to provide...Ch. 10.1 - Solve Prob. 10.45, assuming that the workers...Ch. 10.1 - Denoting the coefficient of static friction...Ch. 10.1 - Knowing that the coefficient of static...Ch. 10.1 - A block with weight W is pulled up a plane forming...Ch. 10.1 - Derive an expression for the mechanical...Ch. 10.1 - Denoting the coefficient of static friction...Ch. 10.1 - Knowing that the coefficient of static...Ch. 10.1 - Using the method of virtual work,...Ch. 10.1 - Using the method of virtual work, determine...Ch. 10.1 - Referring to Prob. 10.43 and using the value...Ch. 10.1 - Prob. 10.56PCh. 10.1 - Prob. 10.57PCh. 10.1 - Prob. 10.58PCh. 10.2 - Using the method of Sec. 10.2C, solve Prob. 10.29....Ch. 10.2 - Using the method of Sec. 10.2C, solve Prob. 10.30....Ch. 10.2 - Using the method of Sec. 10.2C, solve Prob. 10.31....Ch. 10.2 - Using the method of Sec. 10.2C, solve Prob. 10.32....Ch. 10.2 - Using the method of Sec. 10.2C, solve Prob. 10.34....Ch. 10.2 - Prob. 10.64PCh. 10.2 - Using the method of Sec. 10.2C, solve Prob. 10.37....Ch. 10.2 - Prob. 10.66PCh. 10.2 - Prob. 10.67PCh. 10.2 - Show that equilibrium is neutral in Prob. 10.7....Ch. 10.2 - Two uniform rods, each with a mass m, areattached...Ch. 10.2 - Two uniform rods, AB and CD, are attached to gears...Ch. 10.2 - Two uniform rods AB and CD, of the same length...Ch. 10.2 - Two uniform rods, each of mass m and length l, are...Ch. 10.2 - Using the method of Sec. 10.2C, solve Prob....Ch. 10.2 - In Prob. 10.40, determine whether each of...Ch. 10.2 - A load W of magnitude 144 lb is applied to...Ch. 10.2 - Prob. 10.76PCh. 10.2 - Prob. 10.77PCh. 10.2 - Prob. 10.78PCh. 10.2 - A slender rod AB with a weight W is attached to...Ch. 10.2 - A slender rod AB with a weight W is attached totwo...Ch. 10.2 - Prob. 10.81PCh. 10.2 - A spring AB of constant k is attached to two...Ch. 10.2 - A slender rod AB is attached to two collars A and...Ch. 10.2 - Prob. 10.84PCh. 10.2 - 10.85 and 10.86 Cart B, which weighs 75 kN, rolls...Ch. 10.2 - 10.85 and 10.86 Cart B, which weighs 75 kN, rolls...Ch. 10.2 - 10.87 and 10.88 Collar A can slide freely on the...Ch. 10.2 - 10.87 and 10.88 Collar A can slide freely on the...Ch. 10.2 - Prob. 10.89PCh. 10.2 - A vertical bar AD is attached to two springs...Ch. 10.2 - Rod AB is attached to a hinge at A and to two...Ch. 10.2 - Rod AB is attached to a hinge at A and to...Ch. 10.2 - Two bars are attached to a single spring of...Ch. 10.2 - Prob. 10.94PCh. 10.2 - The horizontal bar BEH is connected to three...Ch. 10.2 - The horizontal bar BEH is connected to three...Ch. 10.2 - Bars AB and BC, each with a length l and of...Ch. 10.2 - Prob. 10.98PCh. 10.2 - Prob. 10.99PCh. 10.2 - Prob. 10.100PCh. 10 - Determine the vertical force P that must be...Ch. 10 - Determine the couple M that must be applied...Ch. 10 - Determine the force P required to maintain...Ch. 10 - Derive an expression for the magnitude of the...Ch. 10 - Derive an expression for the magnitude of the...Ch. 10 - A vertical load W is applied to the linkage at B....Ch. 10 - A force P with a magnitude of 240 N is applied to...Ch. 10 - Two identical rods ABC and DBE are connected bya...Ch. 10 - Solve Prob. 10.108 assuming that the 24-lb load...Ch. 10 - Two uniform rods each with a mass m and length...Ch. 10 - A homogeneous hemisphere with a radius r isplaced...Ch. 10 - A homogeneous hemisphere with a radius r isplaced...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Derive common expressions for the radiative heat transfer rate between two surfaces below. Aσ (T-T) a) Infinite parallel plates: A1, T1 E1 912 = 1 1 + ε1 E2 1 A2, T2, E2 b) Infinitely long concentric cylinders: 912 c) Concentric spheres: 912 182 A₁σ (T-T) 1-82 (11) = 1 + ε1 E2 = A₁σ (T-T) 1 1-82 રંતુ + E2 2arrow_forwardFollowing page contains formulas.arrow_forward1) The assembly is made of the slender rods that have a mass per unit length of 3 kg/m. Determine the mass moment of inertia of the assembly about an axis perpendicular to the page and passing through point O. 0.4 m 0.8 m 0.4 marrow_forward
- answer asaparrow_forwardA radio controlled aircraft is instrumented with an airspeed sensor and a power module, which measures the airspeed V [m/s] with an uncertainty of ± 0.8 [m/s], the battery voltage E [V] with an uncertainty of ± 0.8 [V] and the current draw i with an uncertainty of ± 0.8 [A]. These sensors are used to estimate the coefficient of drag CD of the aircraft. For this purpose, the aircraft was flown under cruise condition at a constant speed, maintaining a constant altitude and the airspeed was recorded as V=10 [m/s]. A battery voltage of E=11.1 [V] and current draw i= 1[A] was also recorded. Prior to take off the weight of the aircraft was recorded using a scale as 0.8 [N] ± 0.03 [N], and the planform area S of the aircraft was found using a CAD model as 0.35 [m^2]. The air density p relevant to flight conditions was found to be p =1.225 [kg/m^3] and the propulsion efficiency was found to be 0.4. The coefficient of drag CD for cruise flight is governed by the following equation. Provide the…arrow_forwardThe structure of a house is such that it loses heat at a rate of 4500 kJ/h per °C difference between the indoors and outdoors. A heat pump that requires a power input of 5.50 kW is used to maintain this house at 24°C. Determine the lowest outdoor temperature for which the heat pump can meet the heating requirements of this house. (Include a minus sign if necessary.) The lowest outdoor temperature for which the heat pump can meet the heating requirements of this house is ________ °C.arrow_forward
- Annealing is an important step in many manufacturing processes, especially for metals. A particular manufacturing process requires annealing of a thin metallic sheet at 700°C. To accomplish this task, the sheet is placed in a large furnace, the walls of which are at approximately 730°C. An inert gas circulates through the oven to prevent oxidation of the metal. a) The metallic sheet can be approximated as diffuse, and the spectral emissivity of the sheet is shown in the figure. Determine the emissive power (W/m²) from the sheet when it is at a uniform T = 700°C. b) Determine the net rate of radiative flux (W/m²) to the metal sheet. (Note that the irradiance depends on the oven wall temperature, not the sheet temperature). 1 0.8 0.3 2.5 λ (μη) . c) The circulating inert gas comes from a reservoir and must be preheated before it flows into the furnace so that it doesn't cool the sheet too much. The anticipated convection coefficient between the sheet and the gas is h = 150 W/m² K. What…arrow_forward5. For a gauge pressure at A in the figure shown which is equal to -1.58 psi and the specific gravity of liquid B = 1.00, find the pressure at pt. B. 10.50 ft Air 11.25 ft 9.00 10.00 ft Liquid B =1.60arrow_forwardThermocouples are popular devices used to measure temperature, owing to their relatively inexpensive cost and overall accuracy. Simply taking the output of a thermocouple at face value can, however, result in significant errors. Consider measuring the temperature of hot process gas flowing through a large duct with a small thermocouple. The thermocouple surface is diffuse and gray with emissivity ε. The duct walls are known to be 400°C with total emissivity &w = 0.8. The error between the measured temperature (Ttc) and the process gas (T) is defined as AT = Ttc - To. If the true process gas temperature is T∞ = 125°C, plot the error for 5 values of the thermocouple emissivity, & = {0.1,0.3.0.5,0.7,0.9), as a function of the convection coefficient, {h | 15 5 W≤h≤ 103 W}. Comment on and explain your results. m²-K Note: When a "small" object is surrounded by "large" surroundings, the surroundings effectively behave as a black body. See sections 12.4 and 12.7 for further discussion.arrow_forward
- You are designing a concentrated solar power (CSP) plant and you want to maximize the absorption of solar radiation by the concentrator tubes. The outside of the tubes must be coated with a thin layer of opaque insulating material to prevent oxidation and rusting when exposed to the elements. There are two choices of material for this coating. Each coating is diffuse but has unique spectral behavior. The spectral, hemispherical emissivities of each material are shown in the figure below. E 1.0 0.9 0.8 (1) 0.5 0.2 0 0 0.1 (2) 3 2, um a) Calculate the total, hemispherical absorptivity of each coating for use in this context and determine which surface coating (1 or 2) would act as the better solar absorber. Recall that ε = α for a diffuse surface. b) Would your analysis change if you were instead designing a surface for use in an infrared device intended to "see" objects in the range of 300 K-400 K? Explain and support your conclusions.arrow_forwardA small scale hydropower system located in Davos, Switzerland has an elevation difference between the reservoir water surface and the pond water surface downstream of the turbine of 10 m. The flow rate through the turbine is 1 m³/s. The turbine/generator efficiency is 83%. Determine the power produced in kW if: a) Flow losses are neglected b) Friction loss is equivalent to 1 m head. The rate of decrease in gravitational acceleration (g) is 0.00091 m/s² for every 304.88 m increase in height from sea level. (Davos is located 1,540 m above sea level.) Show all solutions with decimals rounded to four decimal places.arrow_forwardA hydraulic system uses incompressible fluid (usually oil) to transfer energy from one location to another. This is achieved by using pumps, valves, actuators (like cylinders or motors), and fluid lines to create and control mechanical movement. The hydraulic system shown in the figure has a diameter of 6 in. for plunger A while cylinder B has a diameter of 30 in. and is filled with oil (sg 0.75) The load in cylinder B is 12,000 lb. Determine force F to maintain equilibrium. F = Lbf Show all solutions with decimals rounded to four decimal places. plunger A 10 ft 12,000 lbs oil sg=0.75 cylinder Barrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE LPrinciples of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage LearningMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning

International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L

Principles of Heat Transfer (Activate Learning wi...
Mechanical Engineering
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Cengage Learning

Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Mechanical SPRING DESIGN Strategy and Restrictions in Under 15 Minutes!; Author: Less Boring Lectures;https://www.youtube.com/watch?v=dsWQrzfQt3s;License: Standard Youtube License