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 1.63P
Let A and B be two nonparallel
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4- Two non-zero vectors A =i-j+2k and B = 2i-j+k are neither orthogonal
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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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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
- Determine the value of the scalar a if the following three vectors are to lie in the same plane: A=2i-j+2km,B=6i+3j+akm, and C=16i+46j+7km.arrow_forwardFind a unit vector that is perpendicular to both A=4i-3j-2km and B=2i4j+3km.arrow_forwardDetermine (a) the angle between the position vectors P and Q; and (b) a unit vector perpendicular to P and Q.arrow_forward
- ASAParrow_forward1. Find the components of . 2. A Find the components of T2- (Reminder: cos(a) =) 3. Find the angle between and 2. 4. Find the magnitude of the projection of r2 along/parallel to T = 6m 30° 40° Z 8 60° r₁= r₂ = √2 120° 45⁰ a 0 = Y= 2 = 9 m optionalarrow_forwardFind the angle between the vectors u (2,2,-1) and v (5,-3,2).arrow_forward
- 2- Two vectors are given by A= 3i-2j and B= -i - 4j calculate 1- A+B 2- A-B 3- |A + b 4-|A - b| 5- direction of A+B and A-Barrow_forwardForces A and B have a resultant R. Force A and resultant R are represented in the diagram below. Which vector best represents force B? (1) (3) (2) (4) 1 4 Other:arrow_forwardA 10 N force is applied at point B as shown. The coordinates for A, B, and C are: A (3, 0, 4); B (0, 2, -3); and C (3, 0, 0) m a) What is the unit vector in the direction of the force? b) What are the x, y, and z components of the force? see for question carrow_forward
- 2 :س B 15 m 1.5 m P= 0.8 kN T-1.2 kN 3 m 2 m 01.5 m 3 m Determine the x-, y-, and z- components of T. Determine the angles which the line of action of T forms with the positive x-, y-, and z-axes. Calculate the projection of P onto a line between A and F and determine the angle between P and AF. Determine the vector expression for the moment of P about point E. اضف ملفarrow_forwardForce P with magnitude of 15 kN is acting at B (-1,2, 6) m to C (5,4, 4) m. Force Q with magnitude of 37 kN is acting at D (1,-5,3) m to E (-6,1, 5) m. Force R with magnitude of 28 kN is acting at A (5,2, 7) m to F(-8,1,8) m. Determine the equivalent resultant force and couple moment at point O (4,-5,6) m.arrow_forwardThe magnitude of two vectors A and B shown in the figure below are respectively A = 3m and B 1.5 m. The magnitude(R) and the direction (6) of their resultant R = A+ B are equal to: R= 1.239 m e = 43.29 degree R = 1.859 m ; 0 23.79 degree R = 1.239 m; 6e 23.79 degree R = 1.859 m;e = 43.29 degree R = 0.620 m;e = 23.79 degreearrow_forward
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