INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
14th Edition
ISBN: 9780133918922
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 6.6, Problem 87P
Determine the force that the jaws J of the metal cutters exert on the smooth cable C if 100-N forces are applied to the handles. The jaws are pinned at E and A, and D and B. There is also a pin at F.
Prob. 6-87
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Students have asked these similar questions
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)
Creating Simulink Model
Plot solutions for first two, three and four non-zero terms as well as the Simulink solution on the same graph
for the first 15 sec. The graph must be fully formatted by code.
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.
(y₁ = 0)
www
k₁ = 3
Jm₁ = 1
k2=2
www
(Net change in
spring length
=32-31)
(y₂ = 0)
m₂ = 1
32
32
System in
static
equilibrium
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:
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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
1 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t≥ 0:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Plot all solutions on the same graph for the first 15 min. The graph must be fully formatted by code.
Chapter 6 Solutions
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
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 - State if the members are in tension or...Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - State if the members are in tension or...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 - State if the members are in tension or...Ch. 6.3 - Set P1 = 20 kN, P2 = 10 kN. Probs. 6-1/2Ch. 6.3 - Set P1 = 45 kN, P2 = 30 kN. Probs. 6-1/2
Ch. 6.3 - State if the members are in tension or...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 - Determine the force in each member of the truss...Ch. 6.3 - Set P1 = 6 kN, P2 = 9 kN. Probs. 6-9/10Ch. 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 - If a = 6 ft, determine the greatest load P the...Ch. 6.3 - State whether the members are in tension or...Ch. 6.3 - If the maximum force that any member can support...Ch. 6.3 - Set P1 = 10 kN, P2 = 8 kN. Probs. 6-18/19Ch. 6.3 - Determine the force in each member of the truss...Ch. 6.3 - Set P1 = 9 kN, P2 = 15 kN. Probs. 6-20/21Ch. 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 - Determine the force in each member of the truss in...Ch. 6.3 - Determine the maximum magnitude of load P that can...Ch. 6.3 - Take P = 2 kN. Probs. 6-25/26Ch. 6.3 - Determine the maximum magnitude P of the two loads...Ch. 6.4 - Determine the force in members BC, CF, and FE....Ch. 6.4 - State if the members are in tension or...Ch. 6.4 - State if the members are in tension or...Ch. 6.4 - State if the members are in tension or...Ch. 6.4 - State if the members are in tension or...Ch. 6.4 - State if the members are in tension or...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 - State if these members are in tension or...Ch. 6.4 - State if these members are in tension or...Ch. 6.4 - Determine the force in members GF, CD, and GC, and...Ch. 6.4 - Determine the force in members GH, BC, and BG of...Ch. 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 - State if these members are in tension or...Ch. 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 - Determine the force in members BF, BG, and AB, and...Ch. 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 - Determine the force in members JK, CJ, and CD of...Ch. 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 - Also, determine the proper placement x of the hook...Ch. 6.6 - Determine the components of reaction at A and B....Ch. 6.6 - Determine the reactions at D. Prob. F6-20Ch. 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 - The block weighs 100 lb. Prob. 6-62Ch. 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 - Also, what are the horizontal and vertical...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the reactions at supports A and B. Prob....Ch. 6.6 - The suspended cylinder has a mass of 75 kg. Prob....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 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - There is a hinge (pin) at D. Determine the...Ch. 6.6 - Determine the force P exerted on each of the...Ch. 6.6 - The toggle clamp is subjected to a force F at the...Ch. 6.6 - Determine the force the load creates in member DB...Ch. 6.6 - Determine the compressive force developed on the...Ch. 6.6 - Also, find the horizontal and vertical components...Ch. 6.6 - Also, what are the horizontal and vertical...Ch. 6.6 - Determine the force in the guy cable AI and the...Ch. 6.6 - When the walking beam ABC is horizontal, the force...Ch. 6.6 - Determine the force that the jaws J of the metal...Ch. 6.6 - It consists of two toggles ABC and DBF, which are...Ch. 6.6 - The 600-N load is applied to the pin. Prob. 6-89Ch. 6.6 - If the wheel at A exerts a normal force of FA = 80...Ch. 6.6 - The shovel load has a mass of 1.25 Mg and a center...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the compressive force P that is exerted...Ch. 6.6 - If each coin weighs 0.0235 lb, determine the...Ch. 6.6 - Assuming the blades are pin connected at B and the...Ch. 6.6 - Determine the total force he must exert on bar AB...Ch. 6.6 - Determine the total force he must exert on bar AB...Ch. 6.6 - The cable is attached to D, passes over the smooth...Ch. 6.6 - The grip at B on member DAB resists both...Ch. 6.6 - If the compression in the spring is 20 mm when the...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 - Determine the force in the hydraulic cylinder AB...Ch. 6.6 - The spring has a stiffness of k = 6 kN/m. Prob....Ch. 6.6 - If d = 0.75 ft and the spring has an unstretched...Ch. 6.6 - If a force of F = 50 lb is applied to the pads at...Ch. 6.6 - If there is a 300-kg stone in the bucket, with...Ch. 6.6 - when the mechanism is in the position shown. The...Ch. 6.6 - Prob. 110PCh. 6.6 - Prob. 111PCh. 6.6 - If the sprig has a stiffness of k = 15 lb/in., and...Ch. 6.6 - Through this arrangement, a small weight can...Ch. 6.6 - Through this arrangement, a small weight can...Ch. 6.6 - If only vertical forces are supported at the...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...
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