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 1.31P
Resolve the 360-lb force into components along the cables AB and AC. Use
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Resolve the 360-lb force into components along the cable AB and AC. Use a = 60° and B = 40°
1: The cable AB prevents bar OA from rotating clockwise about O. if the cable tension is 750N, determine the n- and t component - as shown in fig 1
The resultant of the three cable tensions acting on the flagpole is the force R=RK. Find T1,T2 and R given that T3=500N.
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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- The car is towed at constant speed by the 600lb force and the angle 0 is 25°. Solve for the forces AB and AC. 600 lb A 30° B C 4 ftarrow_forward1b. IF x=2.1m and z=1.8m, determine the j component of the unit vector u_AD. Answer must include 3 places after the decimal point. 1c. If x=2m and z=1.5m, find out the correct equilibrium equation (Newton's 1st law) for the force components along the y axis. T_B is the tension force in cable AB, T_C is the tension force in cable AC, and T_D is the tension in cable AD. 1d.If x=2.1m and z=1.5m, and the mass of the flower por is m=34kg, determine the tension force T_B in cable AB. Answer mus include 1 place after the decimal point and the proper unit. Take g=9.81 m/s^2arrow_forwardFind the values for F; and 0 such that the resultant of the 3 forces acting on the bracket lies on the u axis and has a magnitude of 250 lbs. 45° 70° = 120 lbs F: = 40 Ibs CDarrow_forward
- When the load L is 8.1 m from point C, the tension T in the cable has a magnitude of 6.9 kN. Express T as a vector using the unit vectors i and j. Assume a = 8.1 m, b = 4 m, c = 7.0m.arrow_forwardThe force system acting on the machine part is equivalent to the single force R=80i + 20jlb acting at O. Determine the force P and the distance b.arrow_forwardIf the three forces applied to the plate are replaced by an equivalent Force-Couple system at the midpoint between C and B, determine the equivalent torque, in lb · in. positive counterclockwise. F = 35 lb, P = 28 lb, Q = 95 lb, θ = 0.75 rad, b = 20 in. and h = 8 in.arrow_forward
- If the tension in the gantry-crane hoisting cable is T= 27 kN, determine the unit vector n in the direction of I and use n to determine the scalar components of T. Point B is located at the center of the container top. Assume a = 18 m, b = 8 m, c = 3 m, d = 9 m, e = 13 m, f = 6 m, and h = 15 m. T B d a Answers: The unit vector n: n= i i+ i j+ i k Ths scalar projections: Tx i kN Ty= i kN T;= i kNarrow_forwardFind the forces at points A and B. C = 300 lb ft R = 150 lb 4 ft. A 3 ft. Barrow_forwardAt what angle θ must the 430-lb force be applied in order that the resultant R of the two forces have a magnitude of 1190 lb? For this condition what will be the angle β between R and the horizontal?arrow_forward
- Given the Position vector R = i+0j + k (m) and the Force vector F = 2i + 2j + 2k (kN) Determine R. F Answer:arrow_forward2-33. Four concurrent forces act on the plate. Determine the magnitude of the resultant force and its direction measurelycounterclockwise from the positive x axis. Problem 2-33 30° F₁ = 38 lb F₂ = 100 lb 3 F₁ = 60 lb 5 -X 4 F₁ = 50 lbarrow_forwardQ1: The cable AB prevents bar OA from rotating clockwise about the pivot O. if the cable tension is 750 N, determine the n- and t- components of this force acting on point A of the bar:arrow_forward
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