International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN: 9781305501607
Author: Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
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Textbook Question
Chapter 1, Problem 1.10P
A differential equation is
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Take the scale of 10 N = 1 cm in a graphical
solution, then the resultant of 10 cm in
length should equal to: *
90 N
95 N
100 N
O 110 N
Which of the following dimensions belongs in the set (force, velocity,
acceleration, magnetic field}? *
mass
speed
displacement
temperature
When two vectors are perpendicular, their *
dot product is zero
cross product is zero.
both are zero
both are not necessarily zero
The cross product of tWO vectors 3İ + 4j -5k and-i+j- 2k is
6 m!
1.0 m
TS
2 m
3 m
2m
2 m
The magnitude of one of the forces is T2 = 80 kN. Find the rectangular representation of T2. *
The magnitude of one of the forces is T2 = 80KN. Find the rec tan gular representation of T2.
T2 = (-22.86 i + 34.29 / + 68.57 k) N
T2 = (-22.86 i – 34.29 j + 68.57 k) N
T2 = (22.86 i - 34.29 j + 68.57 k) N
T2 = (22.86 i- 34.29 /-68.57 k) N
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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- Choose the following systems that are equivalent to the one shown. Choose all that apply. (Remember conditions for equivalency require the sum of forces to be equal and the sum of moments about on arbitrary point to be equal) 50 N DA OB. OC OD. 1m 1 m 1 m 50 N 1 m 50 N 1 m 100 N 1 m 50 N 1m 50 N 1 m 50 N-m 1 m 100 N-m 1 marrow_forwardTake the scale of 10 N = 1 cm in a graphical solution, then the resultant of 10 cm in length should equal to: * 90 N 95N O 100 N O 110 Narrow_forward6 m! 1.0 m T3 2 m T2 3 m 2 m 2 m The magnitude of one of the forces is T1 = 100 kN. Find the rectangular representation of T1. * The magnitude of one of the forces is T¡ = 100kN. Find the rec tan gular representation of T1. O T = (15.62 i + 31.23 j – 93.70 k) N O T, = (15.62 i + 31.23 j + 93.70 k) N O T1 = (-15.62 i + 31.23 j + 93.70 k) N O T, = (-15.62 i – 31.23 j + 93.70 k) Narrow_forward
- Two students are playing catch outside. One throws the ball too high and overshoots his friend, hitting the streetlight - whoops! What is the height hB of the ball when it passes over player B? VA В hB ho A ha ha * dBc dAB dAB = 27 ft h4 = 8 ft dBC = 4 ft h. = 10.7 ft 0 = 29° What is the magnitude of v4? Enter your answer correct to two 2 decimal places. ft/s VAarrow_forwardThe following term remain constant when external force on the system is zero isarrow_forwardENGINEERING MECHANICS: STATICS (J.L.MERIAM) 2/4: The line of action of the 9.6-kN force F runs through the points A and B as shown in the figure. Determine the x and y scalar components of F. Ans. y, mm B (300, 100) X, mm F 9.6 kN A(-150,-200) 2/5: A cable stretched between the fixed sunnorts A and Bis under a tencien Tef 000 NLarrow_forward
- A pole extends from the origin to point A. A wire connects points A and B. B Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value a 6 m 2.25 m 1.5 m d 2.5 m a. Determine the position vector from point A to origin (FAO), express as a cartesian vector. b. Determine the position vector from point A to B (FAB), express as a cartesian vector. Round your final answers to 3 significant figures. k) m I AB i + k) marrow_forwardWhat is the equilibrant if the resultant is 8N , 150°?arrow_forwardQ4: The force in the Figure acts on the hook. Express it as a Cartesian vector. F = 675N (총)(S m) 2 m FB.uB (675)(0.7936i + 0.5151j+0.3282k) O FB.uB = (675)(-0.7936i + 0.5151j-0.3282k) FB.uB = (675)(-0.7936i - 0.5151j+0.3282k) FB-uB = (675)(-0.7936i + 0.5151j+0.3282k) Oarrow_forward
- Two forces are applied to a hook. Variable F₁₂ Ą a b FR= d FR=( Q= B. values for the figure are given in the following table. Note the figure may not be to scale. value 75 lb 35 lb 2.5 ft B= Y = 4.5 ft 9 ft 1 ft Z a. write each force (F₁,F) as cartesian vectors. b. Find the resultant force FR express as a cartesian vector c. Find the magnitude of the resultant force FR i. a ii. B iii. Y Round your final answers to 3 significant digits/figures. Submit Question → d. Determine the coordinate direction angles of the resultant force FR lb 13/12 a degrees F₂ degrees F₁ degrees A A) lb y e) lb Albarrow_forwardHow would the last part of this problem be solved (finding the magnitude of the resultant vector in terms of the two constants given the normalizing term n)?arrow_forwardm and n are orthogonal vectors. Let their component forms be defined as (mx, my) and (nx, ny) respectively, where all values are integers. mx+nx=-3 and nymy=40. If Oarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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