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 1.69P
Compute the value of the scalar a for which the
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Given the Position vector
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Find the x-component the resultant of two forces: A= 100N, acting 30 degrees to left of the negative y-axis, and B=150N, acting 45 degrees below the positive x-axis
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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- Find a unit vector that is perpendicular to both A=4i-3j-2km and B=2i4j+3km.arrow_forwardThe magnitude of the force F is 55 lb. Calculate the moment of F about the x-axis using (a) the scalar method; and (b) the vector method.arrow_forwardThe moment of the force F=360-lb about the point O in Cartesian vector form is. 1 ft OB 4 ft' 2 ft 4 ft. Select one: 1200/-arrow_forward
- Q1/ Given the vectors 7 = 31-j+k and 7 = 2i - 3j+ k, find the product x and verify that this vector is orthogonal to and u. Also, find the 7x7 and compare it with x X vectorarrow_forwardGiven the Position vector Ř = i+j+3k (m) and the Force vector F = i - 7j + 2k (kN Determine the angle in degrees between the two vectors. Answer:arrow_forwardFor the vectors shown, analytically determine the resultant R = A + B . A = 12; 35⁰ B=8 30⁰arrow_forward
- Find the resultant force vector,R, of the three vectors A,B, and C (i.e., add the vectors), if the magnitude of vector A is 10N, the magnitude of vector B is 17N, and the magnitude of vector C is 9N. Your answer should be in the form R = Rx i+ Ry j, where you determine Rx and Ry, and where i, and j are the unit vectors along the x, and y axis, respectively. YA В A 60° 45°arrow_forwardFind the x-component the resultant of two forces: A= 150N, acting 30 degrees to left of the y-axis, and B=100N, acting 40 degrees below the x-axis.arrow_forwardF2 = 81 lb F = 100 lb 4 ft B 3 ft 40° 7 ft 4 ft For the problem shown, the vector F2 expressed as a Cartesian vector is:arrow_forward
- Find the resultant of the forces: A= 100N, acting 30 degrees to left of the negative y-axis, and B=150N, acting 45 degrees below the positive x-axis, and C= 50kN to the right.arrow_forwardGiven the Position vector R= 5i + 4j + 3k (m) and the Force vector F = 4i – 5j+3k (kN) Determine the angle in degrees between the two vectors. Answer:arrow_forwardm 3m F = 500 N Find the scalar values in each coordinate axis of force vector F.arrow_forward
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