International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN: 9781305501607
Author: Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 4, Problem 4.15P
The 180-kg uniform boom ABC, supported by a horizontal cable at B and a pin at A, carries a 320-kg load at C. Determine the force in the cable and the magnitude of the pin reaction.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Two springs and two masses are attached in a straight vertical line as shown in Figure Q3. The system is set
in motion by holding the mass m₂ at its equilibrium position and pushing the mass m₁ downwards of its
equilibrium position a distance 2 m and then releasing both masses. if m₁ = m₂ = 1 kg, k₁ = 3 N/m and
k₂ = 2 N/m.
www.m
k₁ = 3
(y₁ = 0).
m₁ = 1
k2=2
(y₂ = 0)
|m₂ = 1
Y2
y 2
System in
static
equilibrium
(Net change in
spring length
=32-31)
System in
motion
Figure Q3 - Coupled mass-spring system
Determine the equations of motion y₁(t) and y₂(t) for the two masses m₁ and m₂ respectively:
Analytically (hand calculations)
100
As a spring is heated, its spring constant decreases. Suppose the spring is heated and then cooled so that the
spring constant at time t is k(t) = t sin N/m. If the mass-spring system has mass m = 2 kg and a
damping constant b = 1 N-sec/m with initial conditions x(0) = 6 m and x'(0) = -5 m/sec and it is
subjected to the harmonic external force f(t) = 100 cos 3t N. Find at least the first four nonzero terms in
a power series expansion about t = 0, i.e. Maclaurin series expansion, for the displacement:
Analytically (hand calculations)
this is answer to a vibrations question. in the last part it states an assumption of x2, im not sure where this assumption comes from. an answer would be greatly appreciated
Chapter 4 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
Ch. 4 - Each of the bodies shown is homogeneous and has a...Ch. 4 - Each of the bodies shown is homogeneous and has a...Ch. 4 - Each of the bodies shown is homogeneous and has a...Ch. 4 - The homogeneous bar weighs 12 lb. It is resting on...Ch. 4 - The homogeneous beam AB weighs 400 lb. For each...Ch. 4 - The homogeneous triangular plate has a mass of 12...Ch. 4 - The bracket of negligible weight is supported by a...Ch. 4 - The figure models the handle of the water cock...Ch. 4 - The high-pressure water cock is rigidly attached...Ch. 4 - Draw the FBD of the entire frame, assuming that...
Ch. 4 - The figure is a model for member CDE of the frame...Ch. 4 - The homogeneous cylinder of weight Wrests in a...Ch. 4 - Calculate the force P that is required to hold the...Ch. 4 - The 60-lb homogeneous disk is suspended from a...Ch. 4 - The 180-kg uniform boom ABC, supported by a...Ch. 4 - The table lamp consists of two uniform arms, each...Ch. 4 - At what angle will the lamp in Prob. 4.16 be in...Ch. 4 - The bent beam ABC is supported by a pin at B and a...Ch. 4 - Compute all reactions at the base A of the traffic...Ch. 4 - The man is holding up the 35-kg ladder ABC by...Ch. 4 - The 1200-lb homogeneous block is placed on rollers...Ch. 4 - The uniform plank ABC weighs 400 N. It is...Ch. 4 - The center of gravity of the 850-N man is at G. If...Ch. 4 - The homogeneous 340-lb sign is suspended from...Ch. 4 - When the truck is empty, it weighs 6000 lb and its...Ch. 4 - The homogeneous bar AB weighs 25 lb. Determine the...Ch. 4 - Determine the smallest horizontal force P that...Ch. 4 - The homogeneous beam AB weighing 800 lb carries...Ch. 4 - The homogeneous 40-kg bar ABC is held in position...Ch. 4 - The horizontal force P is applied to the handle of...Ch. 4 - The homogeneous plate of weight W is suspended...Ch. 4 - Neglecting the mass of the beam, compute the...Ch. 4 - The 1200-kg car is being lowered slowly onto the...Ch. 4 - The crate weighing 400 lb is supported by three...Ch. 4 - Find the smallest value of P for which the crate...Ch. 4 - Determine the rope tension T for which the pulley...Ch. 4 - The 40-kg homogeneous disk is resting on an...Ch. 4 - The 40-kghomogeneous disk is placed on a...Ch. 4 - The mass of the uniform bar AB is 80 kg. Calculate...Ch. 4 - The mechanism shown is a modified Geneva drive-a...Ch. 4 - The center of gravity of the 3000-lb car is at G....Ch. 4 - The 30-lb block is held in place on the smooth...Ch. 4 - The vertical post is supported by two cables (the...Ch. 4 - The uniform ladder of weight W is raised slowly by...Ch. 4 - The uniform, 30-lb ladder is raised slowly by...Ch. 4 - The 90-kg man, whose center of gravity is at G, is...Ch. 4 - The bar ABC is constrained by the pin support A...Ch. 4 - The tensioning mechanism of a magnetic tape drive...Ch. 4 - The homogeneous 300-kg cylinder is pulled over the...Ch. 4 - Compute the magnitudes of the reactions at pin A...Ch. 4 - Each of the sandbags piled on the 380-lb uniform...Ch. 4 - The 18-ft pole is supported by a pin at A and a...Ch. 4 - The supporting structure of the billboard is...Ch. 4 - The self-regulating floodgate ABC, pinned at B, is...Ch. 4 - The cantilever beam is built into a wall at O....Ch. 4 - Determine the force F required to keep the 200-kg...Ch. 4 - The uniform rod AB of weight W is supported by the...Ch. 4 - A machine operator produces the tension Tin the...Ch. 4 - The dump truck consists of a chassis and a tray,...Ch. 4 - The centers of gravity of the 50-kg lift truck and...Ch. 4 - (a) draw the free-body diagrams for the entire...Ch. 4 - (a) draw the free-body diagrams for the entire...Ch. 4 - For Probs. 4.61–4.68, (a) draw the free-body...Ch. 4 - (a) draw the free-body diagrams for the entire...Ch. 4 - (a) draw the free-body diagrams for the entire...Ch. 4 - (a) draw the free-body diagrams for the entire...Ch. 4 - (a) draw the free-body diagrams for the entire...Ch. 4 - (a) draw the free-body diagrams for the entire...Ch. 4 - The two uniform cylinders, each of weight W, are...Ch. 4 - Draw the FBDs for the following: (a) bar ABC with...Ch. 4 - Draw the FBDs for the beam ABC and the segments AB...Ch. 4 - Draw the FBDs for the entire structure and the...Ch. 4 - The beam consists of the bars AB and BC connected...Ch. 4 - For the frame shown, determine the magnitude of...Ch. 4 - Determine the magnitudes of the pin reactions at A...Ch. 4 - The bars AB and AC are joined by a pin at A and a...Ch. 4 - Neglecting the weights of the members, determine...Ch. 4 - Calculate the magnitudes of the pin reactions at A...Ch. 4 - Determine the magnitude of the pin reaction at A...Ch. 4 - Neglecting friction and the weights of the...Ch. 4 - When activated by the force P, the gripper on a...Ch. 4 - Determine the axle loads (normal forces at A, B,...Ch. 4 - Determine the force P that would produce a tensile...Ch. 4 - The pulley-cable system supports the 150-lb...Ch. 4 - Determine the contact force between the smooth...Ch. 4 - Compute the tension in the cable and the contact...Ch. 4 - Determine the magnitude of the pin reaction at B....Ch. 4 - Determine the tension in the cable at B, given...Ch. 4 - Compute the magnitude of the pin reaction at B....Ch. 4 - Neglecting the weight of the frame, find the...Ch. 4 - Determine the clamping force at A due to the 15-lb...Ch. 4 - Compute the tension in the cable BD when the...Ch. 4 - Calculate the reactions at the built-in support at...Ch. 4 - Determine the magnitudes of the roller reactions...Ch. 4 - The linkage of the braking system consists of the...Ch. 4 - The window washers A and B support themselves and...Ch. 4 - The figure shows a wire cutter. Determine the...Ch. 4 - Find the tension T in the cable when the 180-N...Ch. 4 - The 400-kg drum is held by tongs of negligible...Ch. 4 - Compute the magnitudes of all forces acting on...Ch. 4 - Calculate all forces acting on member CDB.Ch. 4 - The automatic drilling robot must sustain a thrust...Ch. 4 - Determine the clamping (vertical) force applied by...Ch. 4 - Determine the axial force in member BC of the...Ch. 4 - Neglecting friction, determine the relationship...Ch. 4 - Find the magnitudes of the pin reactions at A and...Ch. 4 - The load in the bucket of a skid steer loader is...Ch. 4 - Determine the magnitude of the roller reaction at...Ch. 4 - The tool shown is used to crimp terminals onto...Ch. 4 - The 12-lb force is applied to the handle of the...Ch. 4 - The blade of the bulldozer is rigidly attached to...Ch. 4 - Find the magnitudes of the pin reactions at A, C,...Ch. 4 - The pins at the end of the retaining-ring spreader...Ch. 4 - Determine the magnitudes of the support reactions...Ch. 4 - Find the magnitude of the pin reaction at C....Ch. 4 - For the pliers shown, determine the relationship...Ch. 4 - The device shown is an overload prevention...Ch. 4 - The figure is a schematic of a wire cutter....Ch. 4 - The hinge shown is the type used on the doors of...Ch. 4 - Determine the force in the hydraulic cylinder EF...Ch. 4 - Determine the horizontal force P that would keep...Ch. 4 - Determine the magnitudes of the forces acting on...Ch. 4 - Determine the angle at which the bar AB is in...Ch. 4 - The automobile, with center of gravity at G, is...Ch. 4 - The figure shows a three-pin arch. Determine the...Ch. 4 - The center of gravity of the nonhomogeneous bar AB...Ch. 4 - When suspended from two cables, the rocket assumes...Ch. 4 - The pump oiler is operated by pressing on the...Ch. 4 - The uniform 240-lb bar AB is held in the position...Ch. 4 - Find the force P required to (a) push; and (b)...Ch. 4 - Using the method of joints, calculate the force in...Ch. 4 - Using the method of joints, calculate the force in...Ch. 4 - Using the method of joints, calculate the force in...Ch. 4 - Using the method of joints, calculate the force in...Ch. 4 - Using the method of joints, calculate the force in...Ch. 4 - Using the method of joints, calculate the force in...Ch. 4 - Using the method of joints, calculate the force in...Ch. 4 - Using the method of joints, calculate the force in...Ch. 4 - Using the method of joints, calculate the force in...Ch. 4 - Using the method of joints, calculate the force in...Ch. 4 - Identify all the zero-force members in the four...Ch. 4 - The walkway ABC of the footbridge is stiffened by...Ch. 4 - Find the force in member EF.Ch. 4 - Determine the forces in members AE, BE, and ED.Ch. 4 - Determine the reaction at E and the force in each...Ch. 4 - Determine the force in member AD of the truss.Ch. 4 - Determine the force in member BE of the truss.Ch. 4 - Show that all diagonal members of the truss carry...Ch. 4 - Determine the forces in members FG and AB in terms...Ch. 4 - Determine the forces in members BC, BG, and FG.Ch. 4 - Determine the forces in members EF, BF, and BC.Ch. 4 - Compute the forces in members EF, NE and NO.Ch. 4 - Repeat Prob. 4.152 assuming that the 400-kN force...Ch. 4 - Determine the forces in members BG, CI, and CD.Ch. 4 - Assuming that P=48000lb and that it may be applied...Ch. 4 - Calculate the forces in members BC, CF, and FG.Ch. 4 - Find the forces in members CD, DH, and HI.Ch. 4 - Determine the forces in members CD and DF.Ch. 4 - Compute the forces in members CD and JK, given...Ch. 4 - If PCD=6000lb and PGD=1000lb (both compression),...Ch. 4 - Determine the forces in members EF, BF, and BC.Ch. 4 - Determine the forces in members AC, AD, and DE.Ch. 4 - Determine the forces in members GI, PH, and GH....Ch. 4 - Determine the forces in members CD, IJ, and NJ of...Ch. 4 - Calculate the forces in members AB and DE.Ch. 4 - (a) Find the forces in members CE, CF, and DF. (b)...Ch. 4 - Determine the forces in members BC and BE and the...Ch. 4 - A couple acting on the winch at G slowly raises...Ch. 4 - The uniform, 20-kg bar is placed between two...Ch. 4 - The 320-lb homogeneous spool is placed on the...Ch. 4 - Determine the magnitude of the pin reaction at A,...Ch. 4 - Determine the couple C that will hold the bar AB...Ch. 4 - The 800-lb force is applied to the pin at E....Ch. 4 - The weight W=6kN hangs from the cable which passes...Ch. 4 - The 2000-lb and 6000-lb forces are applied to the...Ch. 4 - The two couples act at the midpoints of bars AB...Ch. 4 - Determine the forces in members AC and AD of the...Ch. 4 - Determine the angle for which the uniform bar of...Ch. 4 - Determine the magnitude of the force exerted by...Ch. 4 - Calculate the forces in members (a) DE; (b) BE;...Ch. 4 - Determine the ratio P/Q for which the parallel...Ch. 4 - The 30-lb block C rests on the uniform 14-lb bar...Ch. 4 - The 30-lb homogeneous bar AB supports the 60-lb...Ch. 4 - Determine the forces in members (a) EF; and (b)...Ch. 4 - Find the magnitude of the pin reaction at B caused...Ch. 4 - The breaking strength of the cable FG that...Ch. 4 - Determine the forces in members GH, BH, and BC of...Ch. 4 - The 80-N force is applied to the handle of the...Ch. 4 - The tongs shown are designed for lifting blocks of...
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
- Please answer with the sketches.arrow_forwardThe beam is made of elastic perfectly plastic material. Determine the shape factor for the cross section of the beam (Figure Q3). [Take σy = 250 MPa, yNA = 110.94 mm, I = 78.08 x 106 mm²] y 25 mm 75 mm I 25 mm 200 mm 25 mm 125 Figure Q3arrow_forwardA beam of the cross section shown in Figure Q3 is made of a steel that is assumed to be elastic- perfectectly plastic material with E = 200 GPa and σy = 240 MPa. Determine: i. The shape factor of the cross section ii. The bending moment at which the plastic zones at the top and bottom of the bar are 30 mm thick. 15 mm 30 mm 15 mm 30 mm 30 mm 30 mmarrow_forward
- A torque of magnitude T = 12 kNm is applied to the end of a tank containing compressed air under a pressure of 8 MPa (Figure Q1). The tank has a 180 mm inner diameter and a 12 mm wall thickness. As a result of several tensile tests, it has been found that tensile yeild strength is σy = 250 MPa for thr grade of steel used. Determine the factor of safety with respect to yeild, using: (a) The maximum shearing stress theory (b) The maximum distortion energy theory T Figure Q1arrow_forwardAn external pressure of 12 MPa is applied to a closed-end thick cylinder of internal diameter 150 mm and external diameter 300 mm. If the maximum hoop stress on the inner surface of the cylinder is limited to 30 MPa: (a) What maximum internal pressure can be applied to the cylinder? (b) Sketch the variation of hoop and radial stresses across the cylinder wall. (c) What will be the change in the outside diameter when the above pressure is applied? [Take E = 207 GPa and v = 0.29]arrow_forwardso A 4 I need a detailed drawing with explanation し i need drawing in solution motion is as follows; 1- Dwell 45°. Plot the displacement diagram for a cam with flat follower of width 14 mm. The required 2- Rising 60 mm in 90° with Simple Harmonic Motion. 3- Dwell 90°. 4- Falling 60 mm for 90° with Simple Harmonic Motion. 5- Dwell 45°. cam is 50 mm. Then design the cam profile to give the above displacement diagram if the minimum circle diameter of the か ---2-125 750 x2.01 98Parrow_forward
- Figure below shows a link mechanism in which the link OA rotates uniformly in an anticlockwise direction at 10 rad/s. the lengths of the various links are OA=75 mm, OB-150 mm, BC=150 mm, CD-300 mm. Determine for the position shown, the sliding velocity of D. A 45 B Space Diagram o NTS (Not-to-Scale) C Darrow_forwardI need a detailed drawing with explanation so Solle 4 يكا Pax Pu + 96** motion is as follows; 1- Dwell 45°. Plot the displacement diagram for a cam with flat follower of width 14 mm. The required 2- Rising 60 mm in 90° with Simple Harmonic Motion. 3- Dwell 90°. 4- Falling 60 mm for 90° with Simple Harmonic Motion. 5- Dwell 45°. cam is 50 mm. Then design the cam profile to give the above displacement diagram if the minimum circle diameter of the 55 ---20125 750 X 2.01 1989arrow_forwardAshaft fitted with a flywheel rotates at 300 rpm. and drives a machine. The torque required to drive the machine varies in a cyclic manner over a period of 2 revolutions. The torque drops from 20,000 Nm to 10,000 Nm uniformly during 90 degrees and remains constant for the following 180 degrees. It then rises uniformly to 35,000 Nm during the next 225 degrees and after that it drops to 20,000 in a uniform manner for 225 degrees, the cycle being repeated thereafter. Determine the power required to drive the machine and percentage fluctuation in speed, if the driving torque applied to the shaft is constant and the mass of the flywheel is 12 tonnes with radius of gyration of 500 mm. What is the maximum angular acceleration of the flywheel. 35,000 TNM 20,000 10,000 0 90 270 495 Crank angle 8 degrees 720arrow_forward
- chanism shown in figure below, the crank OA rotates at 60 RPM counterclockwise. The velocity diagram is also drawn to scale (take dimensions from space diagram). Knowing that QCD is rigid plate, determine: a. Linear acceleration of slider at B, b. Angular acceleration of the links AC, plate CQD, and BD. D Space Diagram Scale 1:10 A ES a o,p,g b Velocity Diagram Scale 50 mm/(m/s) darrow_forwardA thick closed cylinder, 100 mm inner diameter and 200 mm outer diameter is subjected to an internal pressure of 230 MPa and outer pressure of 70 MPa. Modulus of elasticity, E=200 GPa. and Poisson's ratio is 0.3, determine: i) The maximum hoop stress ii) The maximum shear stress iii) The new dimension of the outer diameter due to these inner and outer pressures.arrow_forwardA ә レ shaft fitted with a flywheel rotates at 300 rpm. and drives a machine. The torque required to drive the machine varies in a cyclic manner over a period of 2 revolutions. The torque drops from 20,000 Nm to 10,000 Nm uniformly during 90 degrees and remains constant for the following 180 degrees. It then rises uniformly to 35,000 Nm during the next 225 degrees and after that it drops to 20,000 in a uniform manner for 225 degrees, the cycle being repeated thereafter. Determine the power required to drive the machine and percentage fluctuation in speed, if the driving torque applied to the shaft is constant and the mass of the flywheel is 12 tonnes with radius of gyration of 500 mm. What is the maximum angular acceleration of the flywheel. 35,000 TNm 20,000 10,000 495 Crank angle 8 degrees 270 0 90 か ---20125 750 X 2.01 44 720 sarrow_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