International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN: 9781305501607
Author: Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 1, Problem 1.74P
It can be show that a plane area may he represented by a vector
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Determine the magnitude of the vector difference V' = V2 -V1 and the angle 0x which V' makes counterclockwise from the positive x-
axis. The angle 0x will be a positive number between O and 360°. Complete both graphical and algebraic solutions. You will have to draw
an accurate figure for the graphical solution.
y
V2 = 27 units
%3D
V = 37 units
4
34
--x
Answers:
Ox =
units
V' =
The vector from the origin to point A is given as 6a, - 2a, – 4a., and the
unit vector directed from the origin toward point B is (.-1). If points
A and B are 10 units apart, find the coordinates of point B.
Determine the magnitude of the vector difference V' = V₂-V₁ and the angle 0x which V' makes counterclockwise from the positive x-
axis. The angle 8x will be a positive number between 0 and 360°. Complete both graphical and algebraic solutions. You will have to draw
an accurate figure for the graphical solution.
y
V₂ = 15 units
ex
5
Answers:
V' =
3
i
Mi
V₁ = 23 units
--x
units
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...
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
- 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_forwardThe length of the position vector r is 240 mm. Determine the rectangular components of (a) r; and (b) the unit vector directed from O toward A.arrow_forwardCompute the dot product A - B for each of the following cases. Identify the units of each product. A=12j+8kftB=4i2j+3kftA=5i+3jmB=7i12kNA=3j+2j-kmB=6i+2j8kmarrow_forward
- Find a unit vector that is perpendicular to both A=4i-3j-2km and B=2i4j+3km.arrow_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_forwardProblem 1. Three circles are tangent externally. The distance between their centers are 60 m, 73 m, and 85 m. Find the radius of the largest circle. Problem 2. Six congruent circles are arranged in a way that each circle is tangent to at least two other circles. If the radius of each circle is 2 m, find the perimeter of the polygon formed by connecting the centers of each circle. Problem 3 If y varies inversely as z and y = 23 when z = 45,000, find y when z = 54,000. Problem 4 From a window of a building 5.25m above the ground, the angle of elevation of the top of a nearby building is 35.6 degrees and the angle of depression of its base is 28.2 degrees. What is the height of the nearby building? Problem 5 From a point A (Elev. 042.5), the angle of elevation of the top of the tower is 35 degrees, from a point B 325 m nearer angle of elevation of the top of the tower is 55 degrees. What is the elevation of the top of the tower? the tower and 18.65 m below the point A, thearrow_forward
- 1. Find the adjacent vector of magnitude A = 35N at an angle of 35degrees. AL A. Acos@u,arrow_forwardDetermine the magnitude of the vector sum V = V₁ +2V₂ and the angle 0x which V makes counterclockwise from the positive x-axis. Complete both graphical and algebraic solutions. You will have to draw an accurate figure for the graphical solution. y V₂= 20 units V 2 40° Answers: 0x = 3 V= i 83.69 i V₁ = 29 units unitsarrow_forwardWhat is the magnitude of the resultant vector's unit vector? (Resultant vector of the two vectors shown in the figure below)* F 50:-1003- +3ok. 8.arrow_forward
- a = 1.2 m b = 1.8 m C = 4 m Force AB = 500 Newtons B a FAB Find the z-component of Force AB in N.arrow_forwardQ1/ Find the magnitude of the resultant (R) of the V2 = 21 units! two vectors V1 and V2, using triangle law method only. V = 27 units 3 30arrow_forwarda:l If A- 21 - 3j + k and B--i+ 3j +3 k Find: 1- The angle between the two vectors. 2: Unit vector perpendicular to plan contains the two vectors A and B.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
How to balance a see saw using moments example problem; Author: Engineer4Free;https://www.youtube.com/watch?v=d7tX37j-iHU;License: Standard Youtube License