Vector Mechanics for Engineers: Statics and Dynamics
12th Edition
ISBN: 9781259638091
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 13.3, Problem 13.131P
A tractor-trailer rig with a 2000-kg tractor, a 4500-kg trailer, and a 3600-kg trailer is traveling on a level road at 90 km/h. The brakes on the rear trailer fail, and the antiskid system of the tractor and front trailer provide the largest possible force that will not cause the wheels to slide. Knowing that the coefficient of static friction is 0.75, determine (a) the shortest time for the rig to a come to a stop, (b) the force in the coupling between the two trailers during that time. Assume that the force exerted by the coupling on each of the two trailers is horizontal.
Fig. P13.131
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A tractor-trailer rig with a 2000-kg tractor, a 4500-kg trailer, and a 3600-kg trailer is traveling on a level road at 90 km/h. The brakes on the rear trailer fail, and the antiskid system of the tractor and front trailer provide the largest possible force that will not cause the wheels to slide. Knowing that the coefficient of static friction is 0.75, determine (a) the shortest time for the rig to a come to a stop, (b) the force in the coupling between the two trailers during that time. Assume that the force exerted by the coupling on each of the two trailers is horizontal.
A baggage conveyor is used to unload luggage from an airplane. The 10-kg duffel bag A is sitting on top of the 20-kg suitcase B . The conveyor is moving the bags down at a constant speed of 0.5 m/s when the belt suddenly stops. Knowing that the coefficient of friction between the belt and B is 0.3 and that bag A does not slip on suitcase B, determine the smallest allowable coefficient of static friction between the bags.
H.W.
The coefficient of friction between the tires and road surface for a
vehicle having a mass of 2600 kg is 0.75, when this vehicle is travelling
at 72 km/h determine (a) the stopping distance, and (b) the inertia or
braking force.
Chapter 13 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
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...
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
- Two identical chairs, each weighing 14 lb, are stacked as shown. The center of gravity of each chair is denoted by G. The coefficient of static friction is 0.2 at B (the contact point between the chairs) and 0.35 at A, C, and D. Determine the smallest force P that would cause sliding.arrow_forwardThe coefficient of rolling resistance between the 30-kg lawn roller and the ground is r=0.1. (a) Determine the force P required to pull the roller at a constant speed. (b) What force P would be needed to push the roller at a constant speed?arrow_forwardThe coefficients of static and kinetic friction between the 100 kg block and the inclined plane are 0.30 and 0.20, respectively. Determine (i) the friction force Facting on the block when P is applied with a magnitude of 200 N to the block at rest, (ii) the force P required to initiate motion up the incline from restarrow_forward
- Draw the FBD of A and B when the wedge B impends to slide to the left. Friction is negligible except for the surface under B whose coefficient of friction is 0.20. (b) Determine the magnitude of P to start the wedge B to slide to the left.arrow_forwardThe carnival ride from Prob 12.51 is modified so that the 80-kg riders can move up and down the inclined wall as the speed of the ride increases. Knowing that the coefficient of static friction between the wall and the platform is 0.2, determine the range of values of the constant speed v0 for which the platform will remain at h = 1.5 m.Reference to Problem 12.51:arrow_forward3. A small block B fits inside a lot cut in arm OA which rotates in a vertical plane at a constant rate. The block remains in contact with the end of the slot closest to A and its speed is 1.4 m/s for 0< 0 <150°. Knowing that the block begins to slide when 0 = 150°, determine the coefficient of static friction between the block and the slot. V = 0.3 m Aarrow_forward
- Knowing that the coefficient of static friction between the tires and the road is 0.8 for the automobile (m=1050 kg) shown, determine 1-normal reaction at front wheel (N), the car is assumed rear wheel drive. 2- normal reaction at rear wheel (N), the car is assumed rear wheel drive. 3- maximum acceleration (m/s2), the car is assumed rear wheel drive.arrow_forwardKnowing that the coefficient of static friction between the tires and the road is 0.80 for the car as shown in figure 2. At this car, suddenly brakes are applied when it was moving with velocity of 360 inch/sec and it skidded to rest in 240 inch. Determine the magnitude of the normal reaction and of the friction force in the terms of W(weight) at each wheel as the car skidded to rest. { Use m=w/g, for the mass of the car if required, where g=386.09inch/s2.}arrow_forwardKnowing that the coefficient of static friction between the tires and the road is 0.8 for the automobile (m=1050 kg) shown, determine 1- normal reaction at front wheels (N), the car is assumed front wheel drive. 2- normal reaction at rear wheels (N), the car is assumed front wheel drive. 3- maximum acceleration (m/s2), the car is assumed front wheel drive.arrow_forward
- A 2600-lb car is moving at a speed of 66 mph when the brakes are fully applied, causing all four wheels to skid. Determine the time required to stop the automobile on a rough road, where the coefficient of kinetic friction is equal to 0.60.arrow_forward(a) Draw the FBD of wedge B and block A when wedge B impends to slide to the right. Friction is negligible except for the contact surfaces between B and the horizontal plane B whose coefficient of friction is 0.20. (b) Determine P to impend the wedge B to slide to the right.arrow_forward3. A vehicle, mass 1400 kg, passes a bend at a speed of 54 km/hr. The radius of curvature of the road is 60 m. Determine the minimum coefficient of static friction between the car tires and the road, so that the car can pass through corners safely.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
Mechanical Design (Machine Design) Clutches, Brakes and Flywheels Intro (S20 ME470 Class 15); Author: Professor Ted Diehl;https://www.youtube.com/watch?v=eMvbePrsT34;License: Standard Youtube License