Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 3.9, Problem 115P
To determine
The length of the triangular load b and the position of the triangular load a.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Below is a projection of the inertia ellipsoid in the b1-b2 plane (b1 and b2 are unit vectors). All points on the ellipsoid surface represent moments of inertia in various directions.
The distance R is related to the distance D such that R = md. Determine m.
Below is a projection of the inertia ellipsoid in the b1-b2 plane (b1 and b2 are unit vectors). All points on the ellipsoid surface represent moments of inertia in various directions.
Determine I_aa ( moment of inertia) for direction n_a (this is a unit vector).
The problems are generally based on the following model:
A particular spacecraft can be represented as a single axisymmetric rigid body B. Let n₂
be inertially fixed unit vectors; then, 6, are parallel to central, principal axes. To make
the mathematics simpler, introduce a frame C where n₂ = ĉ₁ = b; initially.
6₁
Assume a mass distribution such that
J =₁₁• B* •b₁ = 450 kg - m²
I = b² •Ï¾˜ • b₂ = b¸ •Ï¾* •b¸ = 200 kg - m²
K
J-I
C³ =r₁₁ = r₁₁
Chapter 3 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 3.4 - In each case, determine the moment of the force...Ch. 3.4 - In each case, set up the determinant to find the...Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the resultant moment produced by the...Ch. 3.4 - Determine the resultant moment produced by the...
Ch. 3.4 - Prob. 9FPCh. 3.4 - Prob. 10FPCh. 3.4 - Determine the moment of force F about point O....Ch. 3.4 - If F1 = {100i 120j + 75k} lb and F2 = {200i +...Ch. 3.4 - Prob. 1PCh. 3.4 - Prove the triple scalar product identity A(B C) =...Ch. 3.4 - Given the three nonzero vectors A, B, and C, show...Ch. 3.4 - Determine the moment about point A of each of the...Ch. 3.4 - Determine the moment about point B of each of the...Ch. 3.4 - Prob. 6PCh. 3.4 - Determine the moment of each of the three forces...Ch. 3.4 - Determine the moment of each of the three forces...Ch. 3.4 - Prob. 9PCh. 3.4 - If FB= 30 lb and FC = 45 lb, determine the...Ch. 3.4 - The cable exerts a force of P = 6 kN at the end of...Ch. 3.4 - The cable exerts a force of P = 6 kN at the end of...Ch. 3.4 - Prob. 13PCh. 3.4 - The 20-N horizontal force acts on the handle of...Ch. 3.4 - Two men exert forces of F = 80 lb and P = 50 lb on...Ch. 3.4 - If the man at B exerts a force of P = 30 lb on the...Ch. 3.4 - Prob. 17PCh. 3.4 - Prob. 18PCh. 3.4 - Prob. 19PCh. 3.4 - The handle of the hammer is subjected to the force...Ch. 3.4 - Prob. 21PCh. 3.4 - Prob. 22PCh. 3.4 - The tower crane is used to hoist the 2-Mg load...Ch. 3.4 - The tower crane is used to hoist a 2-Mg load...Ch. 3.4 - Prob. 25PCh. 3.4 - If the 1500-lb boom AB, the 200-lb cage BCD, and...Ch. 3.4 - Prob. 27PCh. 3.4 - Determine the moment of the force F about point P....Ch. 3.4 - The force F = {400i 100j 700k} lb acts at the...Ch. 3.4 - Prob. 30PCh. 3.4 - Determine the moment of the force F about point P....Ch. 3.4 - Prob. 32PCh. 3.4 - A 20-N horizontal force is applied perpendicular...Ch. 3.4 - A 20-N horizontal force is applied perpendicular...Ch. 3.4 - The pipe assembly is subjected to the 80-N force....Ch. 3.4 - The pipe assembly is subjected to the 80-N force....Ch. 3.4 - A force of F = {6i 2j + lk) kN produces a moment...Ch. 3.4 - The force F = {6i + 8j + l0k} N creates a moment...Ch. 3.5 - In each case, determine the resultant moment of...Ch. 3.5 - In each case, set up the determinant needed to...Ch. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Determine the magnitude of the moment of the 200-N...Ch. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Prob. 17FPCh. 3.5 - Determine the moment of force F about the x, the...Ch. 3.5 - The lug nut on the wheel of the automobile is to...Ch. 3.5 - Prob. 40PCh. 3.5 - The A-frame is being hoisted into an upright...Ch. 3.5 - Prob. 42PCh. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Determine the moment of force F about an axis...Ch. 3.5 - Prob. 45PCh. 3.5 - The board is used to hold the end of the cross lug...Ch. 3.5 - The A-frame is being hoisted into an upright...Ch. 3.5 - Prob. 48PCh. 3.5 - Prob. 49PCh. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Prob. 51PCh. 3.5 - Prob. 52PCh. 3.5 - Determine the moment of the force about the aa...Ch. 3.6 - Determine the resultant couple moment acting on...Ch. 3.6 - Determine the resultant couple moment acting on...Ch. 3.6 - Prob. 21FPCh. 3.6 - Prob. 22FPCh. 3.6 - Prob. 23FPCh. 3.6 - Prob. 24FPCh. 3.6 - A clockwise couple M = 5 N m is resisted by the...Ch. 3.6 - A twist of 4 N m is applied to the handle of the...Ch. 3.6 - If the resultant couple of the three couples...Ch. 3.6 - If F = 125 1b, determine the resultant couple...Ch. 3.6 - Determine the magnitude of F so that the resultant...Ch. 3.6 - Determine the magnitude and coordinate direction...Ch. 3.6 - Prob. 60PCh. 3.6 - Prob. 61PCh. 3.6 - Prob. 62PCh. 3.6 - Prob. 63PCh. 3.6 - Express the moment of the couple acting on the...Ch. 3.6 - If the couple moment acting on the pipe has a...Ch. 3.6 - Prob. 66PCh. 3.6 - Prob. 67PCh. 3.6 - Express the moment of the couple acting on the rod...Ch. 3.6 - Prob. 69PCh. 3.6 - Prob. 70PCh. 3.7 - In each case, determine the x and y components of...Ch. 3.7 - Prob. 25FPCh. 3.7 - Replace the loading by an equivalent resultant...Ch. 3.7 - Prob. 27FPCh. 3.7 - Replace the loading by an equivalent resultant...Ch. 3.7 - Prob. 29FPCh. 3.7 - Prob. 30FPCh. 3.7 - Prob. 71PCh. 3.7 - Prob. 72PCh. 3.7 - Prob. 73PCh. 3.7 - Replace the loading acting on the beam by an...Ch. 3.7 - Replace the loading acting on the beam by an...Ch. 3.7 - Prob. 76PCh. 3.7 - Replace the loading acting on the post by an...Ch. 3.7 - Replace the loading acting on the post by a...Ch. 3.7 - Prob. 79PCh. 3.7 - Prob. 80PCh. 3.7 - Prob. 81PCh. 3.7 - Prob. 82PCh. 3.7 - Prob. 83PCh. 3.7 - Replace the force of F = 80 N acting on the pipe...Ch. 3.7 - Prob. 85PCh. 3.7 - The belt passing over the pulley is subjected to...Ch. 3.8 - In each case, determine the x and y components of...Ch. 3.8 - Prob. 7PPCh. 3.8 - Replace the loading by an equivalent resultant...Ch. 3.8 - Prob. 32FPCh. 3.8 - Prob. 33FPCh. 3.8 - Replace the loading by an equivalent resultant...Ch. 3.8 - Replace the loading by an equivalent single...Ch. 3.8 - Prob. 36FPCh. 3.8 - Prob. 87PCh. 3.8 - Prob. 88PCh. 3.8 - Prob. 89PCh. 3.8 - Prob. 90PCh. 3.8 - Replace the loading by a single resultant force....Ch. 3.8 - Replace the loading by a single resultant force....Ch. 3.8 - Replace the loading by a single resultant force....Ch. 3.8 - Prob. 94PCh. 3.8 - Replace the loading on the frame by a single...Ch. 3.8 - Replace the loading acting on the post by a...Ch. 3.8 - Replace the loading acting on the post by a...Ch. 3.8 - Replace the parallel force system acting on the...Ch. 3.8 - Replace the loading acting on the frame by an...Ch. 3.8 - Replace the loading acting on the frame by an...Ch. 3.8 - If FA = 7 kN and FB = 5 kN, represent the force...Ch. 3.8 - Determine the magnitudes of FA and FB so that the...Ch. 3.8 - Prob. 103PCh. 3.8 - The building slab is subjected to four parallel...Ch. 3.8 - The building slab is subjected to four parallel...Ch. 3.8 - If FA = 40 kN and FB = 35 kN, determine the...Ch. 3.8 - If the resultant force is required to act at the...Ch. 3.9 - Determine the resultant force and specify where it...Ch. 3.9 - Prob. 38FPCh. 3.9 - Determine the resultant force and specify where it...Ch. 3.9 - Prob. 40FPCh. 3.9 - Prob. 41FPCh. 3.9 - Prob. 42FPCh. 3.9 - Replace the loading by an equivalent resultant...Ch. 3.9 - Replace the distributed loading with an equivalent...Ch. 3.9 - Replace the loading by an equivalent resultant...Ch. 3.9 - Currently eighty-five percent of all neck injuries...Ch. 3.9 - Prob. 112PCh. 3.9 - Replace the distributed loading by an equivalent...Ch. 3.9 - Replace the distributed loading by an equivalent...Ch. 3.9 - Prob. 115PCh. 3.9 - Determine the equivalent resultant force and...Ch. 3.9 - Determine the magnitude of the equivalent...Ch. 3 - The boom has a length of 30 ft, a weight of 800...Ch. 3 - Replace the force F having a magnitude of F = 50...Ch. 3 - The hood of the automobile is supported by the...Ch. 3 - Prob. 4RPCh. 3 - Prob. 5RPCh. 3 - Prob. 6RPCh. 3 - The building slab is subjected to four parallel...Ch. 3 - Replace the distributed loading by an equivalent...
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
- The problems are generally based on the following model: A particular spacecraft can be represented as a single axisymmetric rigid body B. Let n₂ be inertially fixed unit vectors; then, 6, are parallel to central, principal axes. To make the mathematics simpler, introduce a frame C where n₂ = ĉ₁ = b; initially. 6₁ Assume a mass distribution such that J =₁₁• B* •b₁ = 450 kg - m² I = b² •Ï¾˜ • b₂ = b¸ •Ï¾* •b¸ = 200 kg - m² K J-I C³ =r₁₁ = r₁₁arrow_forwardThe problems are generally based on the following model: A particular spacecraft can be represented as a single axisymmetric rigid body B. Let n₂ be inertially fixed unit vectors; then, 6, are parallel to central, principal axes. To make the mathematics simpler, introduce a frame C where n₂ = ĉ₁ = b; initially. 6₁ Assume a mass distribution such that J =₁₁• B* •b₁ = 450 kg - m² I = b² •Ï¾˜ • b₂ = b¸ •Ï¾* •b¸ = 200 kg - m² K J-I C³ =r₁₁ = r₁₁arrow_forward##### Determine an example of a design of a compressed air system, which uses the criterion of speed for the design of the pipes (formula attached). The demands of flow rate, power as well as air velocity in the pipelines can be freely chosen. Sizing the compressor (flow, power...) Size reservoir required Setting the dryer Determine the amount of water withdrawn from the system due to air compression **With the attached formula you can choose the appropriate values of the unknownsarrow_forward
- To make an introduction to a report of a simple design of a compressed air system, which uses the criterion of speed, and not that of pressure drop, to determine the diameter of the pipes, where the capacity of the compressor and the demands of the equipment are expressed in flow.arrow_forwardIn an irrigation system, the following characteristics of the pipe network are available.• 100 meters of 4" PVC pipe, 3 gate valves• 500 meters of 3" PVC pipe, 4 gate valves• 200 meters of 2" H.G. pipe, 2 globe valves• 50 litres per second circulate in the pipes:Calculate:1. Total energy losses in meters.2. Leaks in pipes.3. Losses in accessories.4. Calculate the equivalent pipe of that system assuming only pipes without fittings.Solve the problem without artificial intelligence, solve by one of the expertsarrow_forwardLiquid water enters the boiler at 60 bar. Steam exits the boiler at 60 bar, 540°C and undergoes a throttling process to 40 bar before entering the turbine. Steam expands adiabatically through the turbine to 5 bar, 240°C, and then undergoes a throttling process to 1 bar before entering the condenser. Kinetic and potential energy effects can be ignored. Draw a Temperature-Entropy diagram and mark each of the states 2-5 on this diagram. Determine the power generated by the turbine, in kJ per kg of steam flowing. For the valves and the turbine, evaluate the rate of entropy production, each in kJ/K per kg of steam flowing.arrow_forward
- Find the componenets of reactions at pins of A, B and D please show the detailed process and instructions for learning draw out all diagrams please and thank youarrow_forwardA cast iron cylinder of 200 mm inner diameter and 12.5 mm thick is closely wound with a layer of 4 mm diameter steel wire under a tensile stress of 55 MN/m². Determine the stresses set up in the cylinder and steel wire if water under a pressure of 3 MN/m² is admitted in the cylinder. Take E= 100 GN/m², E = 200 GN/m² and Poisson's ratio = 0.25.arrow_forwardWhat is the effect of a clogged fuel injector?arrow_forward
- You are asked to design a unit to condense ammonia. The required condensation rate is 0.09kg/s. Saturated ammonia at 30 o C is passed over a vertical plate (10 cm high and 25 cm wide).The properties of ammonia at the saturation temperature of 30°C are hfg = 1144 ́10^3 J/kg andrho_v = 9.055 kg/m 3 . Use the properties of liquid ammonia at the film temperature of 20°C (Ts =10 o C):Pr = 1.463 rho_l= 610.2 kf/m^3 liquid viscosity= 1.519*10^-4 kg/ ms kinematic viscosity= 2.489*10^-7 m^2/s Cpl= 4745 J/kg C kl=0.4927 W/m C hfg*=hfg+0.68Cpl(Tsat-Given Ts) a) Instead of one plate you want to use small plates and install many of them. Calculate the requiredsurface temperature to achieve the desired condensation rate (0.09 kg/s) if you install 36vertical plates (with the same dimension as above: 10 cm high and 25 cm wide).arrow_forward11-19 designed in Problem The shaft shown in figure P11-4 was 10-19, for the data in the row(s) assigned from table PII-1, and the corresponding diameter of shaft found in Problem 10-19, design suitable bearings 5 E8 cycles at the load for at least State all assumptions. to support 1200rpm. (a) Using hydrodynamically lubricated bronze sleeve bearings with ON = 40, Lld = 0.8, and clearance ratio 0.0025. of a ← gear T gear Key figure PI-4 Given from the problem 10-19 we get d= 1.153 in from the table 11-1 we get a = 16 in b= 18in L= 20inarrow_forwardIn an irrigation system, the following characteristics of the pipe network are available.• 100 meters of 4" PVC pipe, 3 gate valves• 500 meters of 3" PVC pipe, 4 gate valves• 200 meters of 2" H.G. pipe, 2 globe valves• 50 litres per second circulate in the pipes:Calculate:1. Total energy losses in meters.2. Leaks in pipes.3. Losses in accessories.4. Calculate the equivalent pipe of that system assuming only pipes without fittings.Solve the problem without artificial intelligence, solve by one of the expertsarrow_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 L
International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L
How to balance a see saw using moments example problem; Author: Engineer4Free;https://www.youtube.com/watch?v=d7tX37j-iHU;License: Standard Youtube License