VECTOR MECH. FOR EGR: STATS & DYNAM (LL
12th Edition
ISBN: 9781260663778
Author: BEER
Publisher: MCG
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Chapter 13.2, Problem 13.82P
(a)
To determine
Find the x, y and z components of force P.
(b)
To determine
Find the work done by P from O to D and show that the work done is equal to negative of the change in potential from O to D.
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Find the result of the system of converging forces?
4. Two cables A and B are attached to a hook. Cable A exerts a pull with a magnitude and direction defined by the vector A = 6i + 4k (kN). Cable B is also attached to the same hook where cable A is attached, cable B exerts a pull with a magnitude and direction defined by the equation B = -4i +7k (kN). What is the magnitude of the resultant force exerted by both cables? Express your answer in unit of kN.
1. Given three Forces: A = 200KN at
(4, 3, 5); В %3 300KN at (6, -3, -5);B С %3
400KN at (-3, 6, -4)
The Z - component of the Resultant
Force is
kN.
Chapter 13 Solutions
VECTOR MECH. FOR EGR: STATS & DYNAM (LL
Ch. 13.1 - Block A is traveling with a speed v0 on a smooth...Ch. 13.1 - A 400-kg satellite is placed in a circular orbit...Ch. 13.1 - A 0.5-lb stone is dropped down the bottomless pit...Ch. 13.1 - A baseball player hits a 5.1-oz baseball with an...Ch. 13.1 - A 500-kg communications satellite is in a circular...Ch. 13.1 - Prob. 13.5PCh. 13.1 - In an ore-mixing operation, a bucket full of ore...Ch. 13.1 - Determine the maximum theoretical speed that may...Ch. 13.1 - A 2000-kg automobile starts from rest at point A...Ch. 13.1 - An athlete is holding 30 lb of weights at a height...
Ch. 13.1 - A 1.4-kg model rocket is launched vertically from...Ch. 13.1 - Packages are thrown down an incline at A with a...Ch. 13.1 - A package is thrown down an incline at A with a...Ch. 13.1 - Boxes are transported by a conveyor belt with a...Ch. 13.1 - Boxes are transported by a conveyor belt with a...Ch. 13.1 - A 1200-kg trailer is hitched to a 1400-kg car. The...Ch. 13.1 - Prob. 13.16PCh. 13.1 - Prob. 13.17PCh. 13.1 - The subway train shown is traveling at a speed of...Ch. 13.1 - A 5000-lb truck is being used to lift a 1000-lb...Ch. 13.1 - The system shown is at rest when a constant 30-lb...Ch. 13.1 - Car B is towing car A at a constant speed of 10...Ch. 13.1 - The motor applies a constant downward force F =...Ch. 13.1 - The motor applies a constant downward force F to...Ch. 13.1 - Two blocks A and B, of mass 4 kg and 5 kg,...Ch. 13.1 - Four 15-kg packages are placed as shown on a...Ch. 13.1 - A 3-kg block rests on top of a 2-kg block...Ch. 13.1 - Solve Prob. 13.26, assuming that the 2-kg block is...Ch. 13.1 - Prob. 13.28PCh. 13.1 - A 7.5-lb collar is released from rest in the...Ch. 13.1 - A 10-kg block is attached to spring A and...Ch. 13.1 - A 5-kg collar A is at rest on top of, but not...Ch. 13.1 - Prob. 13.32PCh. 13.1 - Prob. 13.33PCh. 13.1 - Two types of energy-absorbing fenders designed to...Ch. 13.1 - Prob. 13.35PCh. 13.1 - Prob. 13.36PCh. 13.1 - Prob. 13.37PCh. 13.1 - Prob. 13.38PCh. 13.1 - Prob. 13.39PCh. 13.1 - The sphere at A is given a downward velocity v0...Ch. 13.1 - A bag is gently pushed off the top of a wall at A...Ch. 13.1 - A roller coaster starts from rest at A, rolls down...Ch. 13.1 - In Prob. 13.42, determine the range of values of h...Ch. 13.1 - A small block slides at a speed v on a horizontal...Ch. 13.1 - Prob. 13.45PCh. 13.1 - Prob. 13.46PCh. 13.1 - Prob. 13.47PCh. 13.1 - Prob. 13.48PCh. 13.1 - Prob. 13.49PCh. 13.1 - Prob. 13.50PCh. 13.1 - A 1400-kg automobile starts from rest and travels...Ch. 13.1 - The frictional resistance of a ship is known to...Ch. 13.1 - Prob. 13.53PCh. 13.1 - The elevator E has a weight of 6600 lb when fully...Ch. 13.2 - Two small balls A and B with masses 2m and m,...Ch. 13.2 - Prob. 13.3CQCh. 13.2 - Prob. 13.55PCh. 13.2 - A loaded railroad car of mass m is rolling at a...Ch. 13.2 - A 750-g collar can slide along the horizontal rod...Ch. 13.2 - A 2-lb collar C may slide without friction along a...Ch. 13.2 - Solve Prob. 13.58 assuming the spring CD has been...Ch. 13.2 - A 500-g collar can slide without friction on the...Ch. 13.2 - For the adapted shuffleboard device in Prob 13.28,...Ch. 13.2 - An elastic cable is to be designed for bungee...Ch. 13.2 - It is shown in mechanics of materials that the...Ch. 13.2 - A 1.2-kg collar can slide along the rod shown. It...Ch. 13.2 - A 500-g collar can slide without friction along...Ch. 13.2 - A thin circular rod is supported in a vertical...Ch. 13.2 - Prob. 13.67PCh. 13.2 - A spring is used to stop a 50-kg package that is...Ch. 13.2 - Prob. 13.69PCh. 13.2 - A roller coaster starts from rest at A, rolls down...Ch. 13.2 - A roller coaster starts from rest at A, rolls down...Ch. 13.2 - A 1-lb collar is attached to a spring and slides...Ch. 13.2 - A 10-lb collar is attached to a spring and slides...Ch. 13.2 - Prob. 13.74PCh. 13.2 - Prob. 13.75PCh. 13.2 - A small package of weight W is projected into a...Ch. 13.2 - Prob. 13.77PCh. 13.2 - The pendulum shown is given an initial speed v0 at...Ch. 13.2 - Prove that a force F(x, y, z) is conservative if,...Ch. 13.2 - The force F = (yzi + zxj + xyk)/xyz acts on the...Ch. 13.2 - Prob. 13.81PCh. 13.2 - Prob. 13.82PCh. 13.2 - Prob. 13.83PCh. 13.2 - Prob. 13.84PCh. 13.2 - Prob. 13.85PCh. 13.2 - A satellite describes an elliptic orbit of minimum...Ch. 13.2 - While describing a circular orbit 200 mi above the...Ch. 13.2 - How much energy per pound should be imparted to a...Ch. 13.2 - Knowing that the velocity of an experimental space...Ch. 13.2 - Prob. 13.90PCh. 13.2 - Prob. 13.91PCh. 13.2 - (a) Show that, by setting r = R + y in the...Ch. 13.2 - Collar A has a mass of 3 kg and is attached to a...Ch. 13.2 - Collar A has a mass of 3 kg and is attached to a...Ch. 13.2 - A governor is designed so that the valve of...Ch. 13.2 - A 1.5-lb ball that can slide on a horizontal...Ch. 13.2 - A 1.5-lb ball that can slide on a horizontal...Ch. 13.2 - Using the principles of conservation of energy and...Ch. 13.2 - Prob. 13.99PCh. 13.2 - A spacecraft is describing an elliptic orbit of...Ch. 13.2 - While describing a circular orbit, 185 mi above...Ch. 13.2 - Prob. 13.102PCh. 13.2 - Prob. 13.103PCh. 13.2 - Prob. 13.104PCh. 13.2 - Prob. 13.105PCh. 13.2 - Prob. 13.106PCh. 13.2 - Prob. 13.107PCh. 13.2 - Prob. 13.108PCh. 13.2 - Prob. 13.109PCh. 13.2 - A space vehicle is in a circular orbit at an...Ch. 13.2 - Prob. 13.111PCh. 13.2 - Show that the values vA and vP of the speed of an...Ch. 13.2 - Show that the total energy E of an earth satellite...Ch. 13.2 - A space probe describes a circular orbit of radius...Ch. 13.2 - Prob. 13.115PCh. 13.2 - A spacecraft of mass m describes a circular orbit...Ch. 13.2 - Using the answers obtained in Prob. 13.108, show...Ch. 13.2 - Prob. 13.118PCh. 13.3 - A large insect impacts the front windshield of a...Ch. 13.3 - The expected damages associated with two types of...Ch. 13.3 - Prob. 13.1IMDCh. 13.3 - Prob. 13.2IMDCh. 13.3 - Prob. 13.3IMDCh. 13.3 - Prob. 13.4IMDCh. 13.3 - Prob. 13.5IMDCh. 13.3 - A 35 000-Mg ocean liner has an initial velocity of...Ch. 13.3 - A 2500-lb automobile is moving at a speed of 60...Ch. 13.3 - Prob. 13.121PCh. 13.3 - A truck is hauling a 300-kg log out of a ditch...Ch. 13.3 - The coefficients of friction between the load and...Ch. 13.3 - Steep safety ramps are built beside mountain...Ch. 13.3 - Prob. 13.125PCh. 13.3 - The 18 000-kg F-35B uses thrust vectoring to allow...Ch. 13.3 - Prob. 13.127PCh. 13.3 - Prob. 13.128PCh. 13.3 - The subway train shown is traveling at a speed of...Ch. 13.3 - The subway train shown is traveling at a speed of...Ch. 13.3 - A tractor-trailer rig with a 2000-kg tractor, a...Ch. 13.3 - The motor applies a constant downward force F =...Ch. 13.3 - An 8-kg cylinder C rests on a 4-kg platform A...Ch. 13.3 - An estimate of the expected load on...Ch. 13.3 - A 60-g model rocket is fired vertically. The...Ch. 13.3 - A 12-lb block, which can slide on a frictionless...Ch. 13.3 - A crash test is performed between an SUV A and a...Ch. 13.3 - Prob. 13.138PCh. 13.3 - Prob. 13.139PCh. 13.3 - Prob. 13.140PCh. 13.3 - The triple jump is a track-and-field event in...Ch. 13.3 - The last segment of the triple jump...Ch. 13.3 - The design for a new cementless hip implant is to...Ch. 13.3 - A 28-g steel-jacketed bullet is fired with a...Ch. 13.3 - A 120-ton tugboat is moving at 6 ft/s with a slack...Ch. 13.3 - At an intersection, car B was traveling south and...Ch. 13.3 - The 650-kg hammer of a drop-hammer pile driver...Ch. 13.3 - Prob. 13.148PCh. 13.3 - Bullet B weighs 0.5 oz and blocks A and C both...Ch. 13.3 - A 180-lb man and a 120-lb woman stand at opposite...Ch. 13.3 - A 75-g ball is projected from a height of 1.6 m...Ch. 13.3 - A ballistic pendulum is used to measure the speed...Ch. 13.3 - Prob. 13.153PCh. 13.3 - Prob. 13.154PCh. 13.4 - A 5-kg ball A strikes a 1-kg ball B that is...Ch. 13.4 - A sphere with a speed v0 rebounds after striking a...Ch. 13.4 - Prob. 13.7IMDCh. 13.4 - Prob. 13.8IMDCh. 13.4 - A 10-kg ball A moving horizontally at 12 m/s...Ch. 13.4 - Prob. 13.10IMDCh. 13.4 - Two steel blocks slide without friction on a...Ch. 13.4 - Prob. 13.156PCh. 13.4 - Prob. 13.157PCh. 13.4 - Prob. 13.158PCh. 13.4 - To apply shock loading to an artillery shell, a...Ch. 13.4 - Packages in an automobile parts supply house are...Ch. 13.4 - Three steel spheres of equal mass are suspended...Ch. 13.4 - At an amusement park, there are 200-kg bumper cars...Ch. 13.4 - At an amusement park there are 200-kg bumper cars...Ch. 13.4 - Prob. 13.164PCh. 13.4 - Prob. 13.165PCh. 13.4 - A 600-g ball A is moving with a velocity of...Ch. 13.4 - Two identical hockey pucks are moving on a hockey...Ch. 13.4 - A billiard player wishes to have ball A hit ball B...Ch. 13.4 - Prob. 13.169PCh. 13.4 - Prob. 13.170PCh. 13.4 - A girl throws a ball at an inclined wall from a...Ch. 13.4 - Prob. 13.172PCh. 13.4 - From experimental tests, smaller boulders tend to...Ch. 13.4 - Prob. 13.174PCh. 13.4 - A 1-kg block B is moving with a velocity v0 of...Ch. 13.4 - A 0.25-lb ball thrown with a horizontal velocity...Ch. 13.4 - After having been pushed by an airline employee,...Ch. 13.4 - Prob. 13.178PCh. 13.4 - A 5-kg sphere is dropped from a height of y = 2 m...Ch. 13.4 - A 5-kg sphere is dropped from a height of y = 3 m...Ch. 13.4 - Prob. 13.181PCh. 13.4 - Block A is released from rest and slides down the...Ch. 13.4 - A 23.1-kg sphere A of radius 90 mm moving with a...Ch. 13.4 - A test machine that kicks soccer balls has a 5-lb...Ch. 13.4 - Ball B is hanging from an inextensible cord. An...Ch. 13.4 - A 70-g ball B dropped from a height h0 = 1.5 m...Ch. 13.4 - A 2-kg sphere moving to the right with a velocity...Ch. 13.4 - When the rope is at an angle of = 30, the 1-lb...Ch. 13.4 - When the rope is at an angle of = 30, the 1-kg...Ch. 13 - A 34,000-lb airplane lands on an aircraft carrier...Ch. 13 - There has been renewed interest in pneumatic tube...Ch. 13 - Prob. 13.192RPCh. 13 - A section of track for a roller coaster consists...Ch. 13 - Two identical 40-lb curling stones have diameters...Ch. 13 - A 300-g block is released from rest after a spring...Ch. 13 - A kicking-simulation attachment goes on the front...Ch. 13 - A 625-g basketball and a 58.5-g tennis ball are...Ch. 13 - Prob. 13.198RPCh. 13 - A 2-kg ball B is traveling horizontally at 10 m/s...Ch. 13 - A 2-kg block A is pushed up against a spring...Ch. 13 - The 2-lb ball at A is suspended by an inextensible...
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- The cable OA exerts a force on point O of F = (-4i + 3j +10 k) lb, directed from O to A. If the length of the cable is 5 ft, what are the coordinates (-x,y and z) of point A?arrow_forwardShow that in parabolic cables the tension acting a point depends on the x-y coordinates of this point as: T(x,y)=w0x[1+(x/2y)^2]^0.5arrow_forwardForces F, P, and T are concurrent. F is acting up to the right at angle α with respect to the x axis, P is directed down to the right at angle β with respect to the x axis and T is directed to the left along the x axis. Determine: The value of F and α if T=450N, P=250N, β=30^0, and the resultant is 300N acting up to the y axis The value of F and α if T=450N, P=250N, β=30^0, and the resultant is zero. The value of α and β if T=450N, P=250N, F=350N and the resultant is zeroarrow_forward
- The force F is applied at point A and its line of action passes through B. Determine the following: 1. The position vector of point B with respect to point A: rBA = ( i + j + k)m 2. The unit vector in the direction of vector F: u = ( i + j + k) Express your results using three significant figures.arrow_forwardThe resultant of the distributed load in the section between A and B is equal: 1.5 kN/m A В 3 m R=4.5 kN at distance 2m from A R=2.25 kN at distance 2m from B R=2.25 kN at distance 2m from A R=2.25 kN at distance 1.5m from Aarrow_forwardF1 F2 a C F3 A d b C a F4 D E Consider the following values: - F5 a = 12 m; b = 10 m; c = 10 m; d = 8 m; 6 kN; F2 = 7 kN; F3 = 8 kN; F4 = 9 kN; F5 = 10 kN; a = 30° , 0 = 45° , B = 60° F1 = 11 What is the resultant moment of the five forces acting on the rod about noint A? 2] What is the resultant moment of the five forces acting on the rod about point B? 31 What is the resultant moment of the five forces acting on the rod about point C? 4] What is the resultant moment of the five forces acting on the rod about point D? 51 What is the moment of the force F2 about point E? 6] What is the resultant moment of the five forces acting on the rod about point E?arrow_forward
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- F1 F2 a C F3 d. F4 E B F5 Consider the following values: - a - 25 m; b - 5 m; c - 25 m; d - 5 m; F1 6 kN; F2 - 7 kN; F3 8 kN; F4 -9 kN; F5 - 10 kN; a = 30°, 0 = 60°, B= 45° 4] What is the resultant moment of the five forces acting on the rod about point D? a) - 177.8 kN.m b) 182.7 kN.m c) 121.9 kN.m d)- 228.6 kN.m e) -297.1 kN.m ) 230.1 kN.m Activate I 5] What is the moment of the force F2 about point E? c) 254.6 kN.m Go to Setting ) 321.3 kN.m a) 111.7 kN.m b) 218.1 kN.m d) 123.7 kN.m e) 101.1 kN.marrow_forwardF1 F2 a F3 A B d b F4 E F5 Consider the following values: - a = 25 m; b = 5 m; c = 25 m; d = 5 m; F1 = 3 kN; F2 = 1 kN; F3 = 4 kN; F4 = 6 kN; F5 = 8 kN; a = 30°, e = 60° %3D B = 30° %3D 1] What is the resultant moment of the five forces acting on the rod about point A? a) 85.8 kN.m b) – 21.1 kN.m c) - 13.5 kN.m d) 7.9 kN.m e) 24.1 kN.m f) - 57.8 kN.m 2] What is the resultant moment of the five forces acting on the rod about point B? a) 188.8 kN.m b) - 153.5 kN.m c) 111.6 kN.m d) - 98.9 kN.m e) 85.4 kN.m f) - 244.2 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) 186 kN.m b) - 171 kN.m c) 155 kN.m d) 279 kN.m e) 423 kN.m f) 353 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) 117.8 kN.m b) - 184.2 kN.m c)– 211.9 kN.m d) 126.9 kN.m e) - 27.1 kN.m ) 125.1 kN.m Activate 5] What is the moment of the force F2 about point E? Go to Setting f) 32.3 kN.m a) 11.7 kN.m b) 19.8 kN.m c) 54.6 kN.m d) 9.1 kN.m e)…arrow_forwardF1 F2 F3 A B b F4 E Consider the following values: - F5 a - 25 m; b - 5 m; a - 25 m; d- 5 m; F1 - 4 kN; F2 2 kN; F3 - 5 KN; F4 - 7 kN; F5 - 3 kN; = 30°, 0 = 60° B= 30° 1] What is the resultant moment of the five forces acting on the rod about point A? a) - 4.5 KN.m b) 1.7 kN.m ) - 82.6 KN.m d) 82.9 kN.m e) 24.1 kN.m 0- 47.1 KN.m 2] What is the resultant moment of the five forces acting on the rod about point B? a) - 96.1 kN.m b) 21.7 kN.m e) - 41.6 kN.m d) 80.9 kN.m e) - 5.4 kN.m D 87.2 KN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) - 98.6 kN.m b) 66.1 kN.m ) 17.6 KN.m d) 28.9 KN.m e) 91.1 kN.m ) 22.3 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) – 109.9 KN.m b) 112.7 KN.m )-81.9 kN.m d) 126.9 kN.m e) - 127.1 kN.m 030.1 kN.m 5] What is the moment of the force F2 about point E? a) 39.6 kN.m b) 48.1 kN.m c) 25.8 kN.m d) 13.1 kN.m e) 11.1 kN.m ) 21.3 KN.marrow_forward
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