Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 6.6, Problem 96P
A man having a weight of 175 lb attempts to hold himself using one of the two methods shown. Determine the total force he must exert on bar AB in each case and the normal reaction he exerts on the platform at C. Neglect the weight of the platform.
Prob. 6-96
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank
A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each
tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of
6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,
initially, tank A contains pure water and tank B contains 20 kg of salt.
A
6 L/min
0.2 kg/L
x(t)
100 L
4 L/min
x(0) = 0 kg
3 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
1 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t > 0:
Analytically (hand calculations)
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)
Chapter 6 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 6.3 - In each case, calculate the support reactions and...Ch. 6.3 - Identify the zero-force members in each truss....Ch. 6.3 - Determine the force in each member of the truss....Ch. 6.3 - Determine the force in each member of the truss....Ch. 6.3 - Determine the force in each member of the truss....Ch. 6.3 - Determine the greatest load P that can be applied...Ch. 6.3 - Identify the zero-force members in the truss....Ch. 6.3 - Determine the force in each member of the truss....Ch. 6.3 - Determine the force in each member of the truss...Ch. 6.3 - Determine the force in each member of the truss...
Ch. 6.3 - Determine the force in each member of the truss....Ch. 6.3 - Determine the force in each member of the truss...Ch. 6.3 - Prob. 5PCh. 6.3 - Determine the force in each member of the truss,...Ch. 6.3 - Determine the force in each member of the truss...Ch. 6.3 - Determine the force in each member of the truss...Ch. 6.3 - Prob. 9PCh. 6.3 - Determine the force in each member of the truss...Ch. 6.3 - Determine the force in each member of the Pratt...Ch. 6.3 - Determine the force in each member of the truss...Ch. 6.3 - Determine the force in each member of the truss in...Ch. 6.3 - Members AB and BC can each support a maximum...Ch. 6.3 - Members AB and BC can each support a maximum...Ch. 6.3 - Determine the force in each member of the truss....Ch. 6.3 - If the maximum force that any member can support...Ch. 6.3 - Determine the force in each member of the truss...Ch. 6.3 - Determine the force in each member of the truss...Ch. 6.3 - Prob. 20PCh. 6.3 - Determine the force in each member of the truss...Ch. 6.3 - Determine the force in each member of the double...Ch. 6.3 - Prob. 23PCh. 6.3 - The maximum allowable tensile force in the members...Ch. 6.3 - Determine the force in each member of the truss in...Ch. 6.3 - The maximum allowable tensile force in the members...Ch. 6.4 - Determine the force in members BC, CF, and FE....Ch. 6.4 - Determine the force in members LK, KC, and CD of...Ch. 6.4 - Determine the force in members KJ, KD, and CD of...Ch. 6.4 - Determine the force in members EF, CF, and BC of...Ch. 6.4 - Determine the force in members GF, GD, and CD of...Ch. 6.4 - Determine the force in members DC, HI, and JI of...Ch. 6.4 - Determine the force in members DC, HC, and HI of...Ch. 6.4 - Determine the force in members ED, EH, and GH of...Ch. 6.4 - Determine the force in members HG, HE and DE of...Ch. 6.4 - Determine the force in members CD, HI, and CH of...Ch. 6.4 - Prob. 31PCh. 6.4 - Prob. 32PCh. 6.4 - Prob. 33PCh. 6.4 - Prob. 34PCh. 6.4 - Determine the force in members EF, CF, and BC, and...Ch. 6.4 - Determine the force in members AF, BF, and BC, and...Ch. 6.4 - Prob. 39PCh. 6.4 - Determine the force in members CD, CF, and CG and...Ch. 6.4 - Determine the force developed in members FE, EB,...Ch. 6.4 - Determine the force in members BC, HC, and HG....Ch. 6.4 - Determine the force in members CD, CJ, GJ, and CG...Ch. 6.4 - Determine the force in members BE, EF, and CB, and...Ch. 6.4 - Prob. 45PCh. 6.4 - Determine the force in members BC, CH, GH, and CG...Ch. 6.4 - Determine the force in members CD, CJ, and KJ and...Ch. 6.4 - Prob. 48PCh. 6.4 - Determine the force in members HI, FI, and EF of...Ch. 6.6 - In each case, identify any two-force members, and...Ch. 6.6 - Determine the force P needed to hold the 60-lb...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - If a 100-N force is applied to the handles of the...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the normal force that the 100-lb plate A...Ch. 6.6 - Determine the force P needed to lift the load....Ch. 6.6 - Prob. 19FPCh. 6.6 - Prob. 20FPCh. 6.6 - Determine the components of reaction at A and C....Ch. 6.6 - Determine the components of reaction at C. Prob....Ch. 6.6 - Determine the components of reaction at E. Prob....Ch. 6.6 - Determine the components of reaction at D and the...Ch. 6.6 - Determine the force P required to hold the 100-lb...Ch. 6.6 - In each case, determine the force P required to...Ch. 6.6 - Determine the force P required to hold the 50-kg...Ch. 6.6 - Determine the force P required to hold the 150-kg...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the force that the smooth rotor C exerts...Ch. 6.6 - The bridge frame consists of three segments which...Ch. 6.6 - Determine the reactions at supports A and B. Prob....Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the reactions at the supports A, C, and...Ch. 6.6 - Determine the resultant force at pins A, B, and C...Ch. 6.6 - Determine the reactions at the supports at A, E,...Ch. 6.6 - The wall crane supports a load of 700 lb....Ch. 6.6 - The wall crane supports a load of 700 lb....Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - The two-member structure is connected at C by a...Ch. 6.6 - The compound beam is pin supported at B and...Ch. 6.6 - When a force of 2 lb is applied to the handles of...Ch. 6.6 - The toggle clamp is subjected to a force F at the...Ch. 6.6 - The hoist supports the 125-kg engine. Determine...Ch. 6.6 - A 5-lb force is applied to the handles of the vise...Ch. 6.6 - Determine the force in members FD and DB of the...Ch. 6.6 - Determine the force that the smooth 20-kg cylinder...Ch. 6.6 - Prob. 85PCh. 6.6 - The pumping unit is used to recover oil. When the...Ch. 6.6 - Determine the force that the jaws J of the metal...Ch. 6.6 - Prob. 88PCh. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - The pipe cutter is clamped around the pipe P. If...Ch. 6.6 - Determine the force created in tire hydraulic...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - The constant moment of 50 N m is applied to the...Ch. 6.6 - Five coins are stacked in the smooth plastic...Ch. 6.6 - The nail cutter consists of the handle and the two...Ch. 6.6 - A man having a weight of 175 lb attempts to hold...Ch. 6.6 - Prob. 97PCh. 6.6 - The two member frame is pin connected at E. The...Ch. 6.6 - If the 300 kg drum has a center of mass at point...Ch. 6.6 - Operation of exhaust and intake valves in an...Ch. 6.6 - If a clamping force of 300 N is required at A,...Ch. 6.6 - If a force of F = 350 N is applied to the handle...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - The hydraulic crane is used to lift the 1400-lb...Ch. 6.6 - Determine force P on the cable if the spring is...Ch. 6.6 - Prob. 106PCh. 6.6 - If a force of F = 50 lb is applied to the pads at...Ch. 6.6 - The skid-steer loader has a mass of 1.18 Mg, and...Ch. 6.6 - Determine the force P on the cable if the spring...Ch. 6.6 - The spring has an unstretched length of 0.3 m....Ch. 6.6 - The spring has an unstretched length of 0.3 m....Ch. 6.6 - The piston C moves vertically between the two...Ch. 6.6 - Prob. 113PCh. 6.6 - The platform scale consists of a combination of...Ch. 6.6 - The three pin-connected members shown in the top...Ch. 6.6 - Determine the force in each member of the truss...Ch. 6.6 - Determine the force in each member of the truss...Ch. 6.6 - Determine the force in member GJ and GC of the...Ch. 6.6 - Determine the force in members GF, FB, and BC of...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the resultant forces at pins B and C on...
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
- 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 appreciatedarrow_forwardPlease 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_forward
- A 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_forwardA 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_forward
- so 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_forwardFigure 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_forward
- Ashaft 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_forwardchanism 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_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
Force | Free Body Diagrams | Physics | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=4Bwwq1munB0;License: Standard YouTube License, CC-BY