International Edition---engineering Mechanics: Statics 4th Edition
4th Edition
ISBN: 9781305856240
Author: Pytel
Publisher: Cengage
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Chapter 1, Problem 1.19P
Plot the earth’s gravitational acceleration
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How do you solve for the force acting on member BC?
A brake jaw, A is pressed against the drum, B. Calculate the brake arm, X(m₂).F= 250NBraking torque = 30Nmµ=0.35Around point A:Fm₂-Nm₁-µm₃=0N=Fm₂/m1+ µm₃MBrake =µ·D/2= µ·D/2MBrake =Fµm₂D/2(m₁- µm₃)(X)m₂=FµD/Mbrake·2(m1- µm₃)(X)m₂=250·0.35.0.3/30·2(0.250-0.35·0.06)=?I don’t get some likely value?
Q7 (12 Marks)
For the system shown in Fig.3:
1- Draw the overall block diagram.
2- Determine the transfer function (Pc(s)/E(s)).
Orifice→
Ps
Actuating error signs)
Flapper
Pb+Pb.
Nozzle.
A
X+X+
Ri
A
I
R2
ㅍ
think
+y
Pc+PC
Chapter 1 Solutions
International Edition---engineering Mechanics: Statics 4th Edition
Ch. 1 - A person weighs 30 lb on the moon, where...Ch. 1 - The radius and length of a steel cylinder are 40...Ch. 1 - Convert the following: (a) 400lbft to knm; (b)...Ch. 1 - A compact car travels 30 mi on one gallon of gas....Ch. 1 - The kinetic energy of a car of mass m moving with...Ch. 1 - In a certain application, the coordinate a and the...Ch. 1 - When a force F acts on a linear spring, the...Ch. 1 - In some applications dealing with very high...Ch. 1 - A geometry textbook gives the equation of a...Ch. 1 - A differential equation is d2ydt2=Ay2+Byt where y...
Ch. 1 - The position coordinate x of a particle is...Ch. 1 - A differential equation encountered in the...Ch. 1 - Determine the dimensions of constants A and B far...Ch. 1 - The typical power output of a compact car engine...Ch. 1 - Two 12-kg spheres are placed 400 mm apart. Express...Ch. 1 - Two identical spheres of radius 8 in. and weighing...Ch. 1 - A man weighs 170 lb on the surface of the earth....Ch. 1 - Use Eq. (1.4) to show that the weight of an object...Ch. 1 - Plot the earths gravitational acceleration g(m/s2)...Ch. 1 - Find the elevation h (km) where the weight of an...Ch. 1 - Calculate the gravitational force between the...Ch. 1 - The magnitudes of the two velocity vectors are...Ch. 1 - Determine the magnitudes of vectors v1 and v2 so...Ch. 1 - The pole AB is held up by the rope attached to B....Ch. 1 - Resolve the 20-kN force into components along the...Ch. 1 - The velocity vector of the boat has two...Ch. 1 - Two members of a truss apply the forces shown to...Ch. 1 - Two members of a truss apply the forces shown to...Ch. 1 - Determine the resultant of the position vectors A...Ch. 1 - Resolve the position vector A of the car (measured...Ch. 1 - Resolve the 360-lb force into components along the...Ch. 1 - The supporting cables AB and AC are oriented so...Ch. 1 - The two forces shown act on the structural member...Ch. 1 - The resultant of the two forces has a magnitude of...Ch. 1 - The forces acting on the bob of the pendulum are...Ch. 1 - A surveyor sights a target at C from points A and...Ch. 1 - Knowing that the resultant of the two forces is...Ch. 1 - To move the oil drum, the resultant of the three...Ch. 1 - The resultant of the 50-Ib and 30-lb forces is R....Ch. 1 - Obtain the rectangular representation of the force...Ch. 1 - The length of the position vector r is 240 mm....Ch. 1 - Determine the rectangular components of the 560-lb...Ch. 1 - The coordinates of points A and B are (-3, 0, 2)...Ch. 1 - The slider travels along the guide rod AB with the...Ch. 1 - Find the rectangular representation of the force...Ch. 1 - The magnitude of the force F is 160 lb. Find its...Ch. 1 - A rifle at A is fired at a target at B. If the...Ch. 1 - The pole OB is subjected to the 6004b force at B....Ch. 1 - The cables AB and AC are attached to the frame...Ch. 1 - The two forces are applied to the end of the boom...Ch. 1 - The magnitudes of the three forces are...Ch. 1 - Given that P=120lb and Q=130lb, find the...Ch. 1 - Knowing that P=90lb and that the resultant of P...Ch. 1 - If R is the resultant of the forces P and Q, find...Ch. 1 - The force R is the resultant of P and 0. Determine...Ch. 1 - The vertical post is secured by three cables. The...Ch. 1 - Compute the dot product A - B for each of the...Ch. 1 - Compute the cross product C=AB for each of the...Ch. 1 - Given r=4i6j+2km (position vector) F=20i+40j30kN...Ch. 1 - Compute AB and CB for the position vectors shown.Ch. 1 - Use the dot product to find the angle between the...Ch. 1 - Use the dot product to find the angle between the...Ch. 1 - Let A and B be two nonparallel vectors that lie in...Ch. 1 - Determine (a) the angle between the position...Ch. 1 - Find a unit vector that is perpendicular to both...Ch. 1 - The three points A(0,2,2),B(1,4,1), and C(3,0,0)...Ch. 1 - For the position vectors P and Q shown, determine...Ch. 1 - Compute the orthogonal Component of F=6i+20j12klb...Ch. 1 - Compute the value of the scalar a for which the...Ch. 1 - Resolve A=3i+5j4k in. into two vector...Ch. 1 - The force F=5i+12j+4k lb is applied to the handle...Ch. 1 - Determine the value of the scalar a if the...Ch. 1 - Resolve the force F=20i+30j+50klb into two...Ch. 1 - It can be show that a plane area may he...Ch. 1 - The coordinates of the corners of a triangle ABC...Ch. 1 - Show that |abc| equals the volume of a...
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- Figures 4: show a pneumatic controller. The pneumatic relay has the characteristic that pc=K pb , where K>0. What kind of control action does this controller produce? a. Derive the mathematical model for the system b. Derive the transfer function Pc(s)/E(s) -Solve step by step Orifice F+Ph R₁ Actuating error signal Flapper Nozzle. x+x F+Pe thinkarrow_forwardThe equation of the turning moment diagram for the three crank engine and the equation of the moment required by a machine connected to this engine are given below: Engine Torque Machine Torque T=10000-500 sin (40) T=10000+2000 sin (20) N.m N.m where radians is the crank angle from inner dead center and the mean engine speed is 300 rpm. It is required to select a proper flywheel (find the moment of inertia of the flywheel in kgm2) and then calculate the power of the engine if the total percentage fluctuation of speed of the flywheel is ±1% of the mean speed. Calculate the angular acceleration of the flywheel when angle is 45°.arrow_forwardDesign a cotter joint to support a axial load of 100kN . Carbon steel material selected whichhas Tensile stress = 100MPa Compressive stress =150MPa; Shear stress =60MPaarrow_forward
- Design a cotter joint to support a axial load of 100kN . Carbon steel material selected whichhas Tensile stress = 100MPa Compressive stress =150MPa; Shear stress =60MPaarrow_forwardI need all the derivations from Bohr's postulates in handwritten formarrow_forward12. Figure Q12 shows a prospective design for a conveyor roller system, for transferring crates, one at a time. The system is made up of two parallel rectangular steel beams, built-in at one end and simply supported at the other, with closely spaced rollers mounted in-between, for the crate to pass over. a) Using Macaulay notation, carry out an analysis of the problem and calculate the deflection of the mid-length point of the beams when the crate is centrally located, midway between A and B. State any important assumptions used in your analysis. [20 marks] b) Comment briefly whether this would be the maximum deflection of the beams when the crate is centrally located. 2 m 8 m A Direction of travel Figure Q12 (side view, only one beam visible) Useful information I for each separate beam = 12 ×10 m² E for both beams = 210 GPa Weight of one crate = 800 N [5 marks] Barrow_forward
- 11. A ring (side view shown in Figure Q11) has a circular solid cross-section of 5 mm diameter. The ring itself has a radius of R = 100 mm and a very narrow gap at point A, that allows the two free ends to be pulled apart by forces P, increasing the size of the gap. ○ P A Figure Q11 P a) Show that the total strain energy of the ring due to the applied forces is: U = 3πP²R³ 2EI [12 marks] b) Find the maximum bending stress produced if forces of P = 8 N are applied. [6 marks] c) What minimum force P would cause the material in the ring to yield and at which locations could this yielding begin to occur? Useful information E for the ring material = 75 GPa Oyield for the ring material = 190 MPa [7 marks]arrow_forwardQ2(15 Marks): From Fig. 2, Determine (a) mass equivalent in term x2, (b) stiffness equivalent in term x2, and (c) the natural frequency for the system in term x2. Note: (1) J Cylinder = mcr? J link (2) 2 3 Pulley, mass moment of inertia J Rigid link 1 (mass m₁), rotates with pulley. about O Cylinder, mass m Adherence to the symbols as in the question 152 153 xx(1) Fig. (2) m k₁ nimmunizmu Rigid link 2 (mass m₂)arrow_forwardQ3-B (7 Marks): A mass (m) is suspended from a spring of stiffness 4000 N/m and is subjected to a harmonic force having an amplitude of 100 N and a frequency of 5 Hz. The amplitude of the forced motion of the mass is observed to be 20 mm. Find the value of mass (m).arrow_forward
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