International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN: 9781305501607
Author: Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
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Chapter 1, Problem 1.70P
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2. The three displacement vectors in the drawing have magnitudes of A=6.00m, B=6.5m,
and C=4.00m. Find the resultant (magnitude and angle) of the three vectors by means
of the component method. Express the angle as an angle above the positive or
negative x-axis.
X.
20.0°
60.0°
+X
10
2
Determine 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
units
Determine the magnitude and direction of the resultant of the following forces: 50 N at 50 degrees,60 N at 120 degrees,40 N at 220 degrees,30 N at 330 degrees. All angles are measure from the positive x-axis. Use the component method.
Select one:
a. 75 N: 42º
b. 50 N: 87º
c. 54 N: 87º
d. 101 N: 89º
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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- Q2: Express the vector A 3i + 2j + k in terms of the triad i'j'k', where the x'y'-axes are rotated 45° oround the z-axis, with the z- and z'-axes coinciding.arrow_forwardQuestion 3: Given two vectors A is 6 units long and makes an angle of 36° with the positive x-axis and B is 7 units long and is in the direction of negative x-axis find A: the sum A+ B of the two vectors ( 16 marks ) B: The difference A - B between the two vectorsarrow_forwardThe direction of resultantarrow_forward
- ind the resultant of the following forces by polygon method: F1= 12N, 270 degrees: F2= 24N, 30 degree north of west; F3=15 N, 75 degree south of west; and F4=32 N, 50 degree south of eastarrow_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_forwardWrite the F1 as Cartesian vector. F1 = 100 lb 0 = 35 deg = 40 degarrow_forward
- 30° 75° F = 4 kN 30° F2 = 6 kN Resolve force F 2 into component vectors acting along directions u and v. Determine magnitudes of each direction. Use Law of Sines and Cosines.arrow_forwardGiven two vectors A and B, which of the following is an incorrect way of solving for the resultant R? B A R A R Barrow_forwardI need the answer as soon as possiblearrow_forward
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