Vector Mechanics For Engineers
12th Edition
ISBN: 9781259977305
Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.
Publisher: Mcgraw-hill Education,
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 12.1, Problem 12.56P
A polisher is started so that the fleece along the circumference undergoes a constant tangential acceleration of 4 m/s2. Three seconds after it is started, small tufts of fleece from along the circumference of the 225-mm-diameter polishing pad are observed to fly free of the pad. At this instant, determine (a) the speed v of a tuft as it leaves the pad, (b) the magnitude of the force required to free a tuft if the average mass of a tuft is 1.6 mg.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Human centrifuges are often used to simulate different acceleration levels for pilots. When aerospace physiologists say that a pilot is pulling 9 g,s , they mean that the resultant normal force on the pilot from the bottom of the seat is nine times their weight. Knowing that the centrifuge starts from rest and has a constant angular acceleration of 1.5 RPM per second until the pilot is pulling 9 g's and then continues with a constant angular velocity, determine (a) how long it will take for the pilot to reach 9 g's (b) the angle 0 of the normal force once the pilot reaches 9 g’s. Assume that the force parallel to the seat is zero.
At an intersection, car B was traveling south and car A was traveling 30° north of east when they slammed into each other. Upon investigation it was found that after the crash the two cars got stuck and skidded off at an angle of 10° north of east. Each driver claimed that he was going at the speed limit of 50 km/h and that he tried to slow down but couldn’t avoid the crash because the other driver was going a lot faster. Knowing that the masses of cars A and B were 1500 kg and 1200 kg, respectively, determine (a) which car was going faster, (b) the speed of the faster of the two cars if the slower car was traveling at the speed limit.
It is shown in mechanics of materials that the stiffness of an elastic cable is k=AE It is shown in mechanics of materials that the stiffness of an elastic cable is L, where A is the cross-sectional area of the cable, E is the modulus of elasticity, and L is the length of the cable. A winch is lowering a 4000-lb piece of machinery using a constant speed of 3 ft/s when the winch suddenly stops. Knowing that the steel cable has a diameter of 0.4 in., E = 29 × 106 lb/in2, and when the winch stops L = 30 ft, determine the maximum downward displacement of the piece of machinery from the point it was when the winch stopped.
Chapter 12 Solutions
Vector Mechanics For Engineers
Ch. 12.1 - A 1000-Ib boulder B is resting on a 200-Ib...Ch. 12.1 - Marble A is placed in a hollow tube, and the tube...Ch. 12.1 - The two systems shown start from rest. On the...Ch. 12.1 - Prob. 12.CQ4PCh. 12.1 - People sit on a Ferris wheel at points A, B, C,...Ch. 12.1 - Crate A is gently placed with zero initial...Ch. 12.1 - Prob. 12.F2PCh. 12.1 - Objects A, B, and C have masses mA, mB, and...Ch. 12.1 - Blocks A and B have masses mAand mB, my...Ch. 12.1 - Blocks A and B have masses mAand mB, my...
Ch. 12.1 - A pilot of mass m flies a jet in a half-vertical...Ch. 12.1 - Wires AC and BC are attached to a sphere that...Ch. 12.1 - A collar of mass m is attached to a spring and...Ch. 12.1 - Four pins slide in four separate slots cut in a...Ch. 12.1 - At the instant shown, the length of the boom AB is...Ch. 12.1 - Prob. 12.F11PCh. 12.1 - Pin B has a mass m and slides along the slot in...Ch. 12.1 - Prob. 12.1PCh. 12.1 - Prob. 12.2PCh. 12.1 - Prob. 12.3PCh. 12.1 - A spring scale A and a lever scale B having equal...Ch. 12.1 - A loading car is at rest on a track forming an...Ch. 12.1 - A 0.5-oz model rocket is launched vertically from...Ch. 12.1 - Determine the maximum theoretical speed that may...Ch. 12.1 - A tugboat pulls a small barge through a harbor....Ch. 12.1 - If an automobile's braking distance from 108 km/h...Ch. 12.1 - A 4-kg package is released from rest at point A...Ch. 12.1 - The coefficients of friction the load and the...Ch. 12.1 - A light train made up of two cars is traveling at...Ch. 12.1 - The two blocks shown are originally at rest....Ch. 12.1 - The two blocks shown are originally at rest....Ch. 12.1 - Each of the systems shown is initially at rest....Ch. 12.1 - Boxes A and B are at rest on a conveyor belt that...Ch. 12.1 - A 5000-1b truck is being used to lift a 1000-1b...Ch. 12.1 - Block A has a mass of 40 kg, and block B has a...Ch. 12.1 - Block A has a mass of 40 kg, and block B has a...Ch. 12.1 - Prob. 12.20PCh. 12.1 - Prob. 12.21PCh. 12.1 - To unload a bound stack of plywood from a truck;...Ch. 12.1 - To transport a series of bundles of shingles A to...Ch. 12.1 - Prob. 12.24PCh. 12.1 - Determine the maximum theoretical speed that a...Ch. 12.1 - Prob. 12.26PCh. 12.1 - A spring AB of constant k is attached to a support...Ch. 12.1 - Prob. 12.28PCh. 12.1 - Prob. 12.29PCh. 12.1 - An athlete pulls handle A to the left with a...Ch. 12.1 - A 10-Ib block B rests as shown on a 20-1b bracket...Ch. 12.1 - Prob. 12.32PCh. 12.1 - Knowing that k=0.30 , determine the acceleration...Ch. 12.1 - The 30-Ib block B is supported by the 55-Ib block...Ch. 12.1 - Block B of mass 10 kg rests as shown on the upper...Ch. 12.1 - Knowing that the swings of an amusement park ride...Ch. 12.1 - During a hammer thrower's practice swings, the...Ch. 12.1 - Prob. 12.38PCh. 12.1 - A single wire ACB passes through a ring at C...Ch. 12.1 - Two wires AC and BC are tied at C to a sphere that...Ch. 12.1 - Prob. 12.41PCh. 12.1 - Prob. 12.42PCh. 12.1 - As part of an outdoor display, a 5-kg model C of...Ch. 12.1 - A 130-ib wrecking ball B is attached to a...Ch. 12.1 - During a high-speed chase, a 2400-Ib sports car...Ch. 12.1 - An airline pilot climbs to a new flight level...Ch. 12.1 - The roller-coaster track shown is contained in a...Ch. 12.1 - A spherical-cap governor is fixed to a vertical...Ch. 12.1 - A series of small packages, each with a mass of...Ch. 12.1 - A 55-kg pilot flies a jet trainer in a half...Ch. 12.1 - A carnival ride is designed to allow the general...Ch. 12.1 - Prob. 12.52PCh. 12.1 - Prob. 12.53PCh. 12.1 - Prob. 12.54PCh. 12.1 - A 3-kg block is at rest relative to a parabolic...Ch. 12.1 - A polisher is started so that the fleece along the...Ch. 12.1 - Prob. 12.57PCh. 12.1 - The carnival ride from Prob. 12.51 is modified so...Ch. 12.1 - Prob. 12.59PCh. 12.1 - Prob. 12.60PCh. 12.1 - Prob. 12.61PCh. 12.1 - Prob. 12.62PCh. 12.1 - Prob. 12.63PCh. 12.1 - A small 250-g collar C can slide on a semicircular...Ch. 12.1 - A small 250-g collar C can slide on a semicircular...Ch. 12.1 - An advanced spatial disorientation trainer allows...Ch. 12.1 - Prob. 12.67PCh. 12.1 - The 3-kg collar B slides on the frictionless arm...Ch. 12.1 - A 0.5-kg block B slides without friction inside a...Ch. 12.1 - Pin B weighs 4 oz and is free to slide in a...Ch. 12.1 - The parasailing system shown uses a winch to let...Ch. 12.1 - A 700-kg horse A lifts a 50-kg hay bale B as...Ch. 12.1 - Slider C has a weight of 0.5 Ib and may move in a...Ch. 12.2 - A particle of mass m is projected from point A...Ch. 12.2 - For the particle of Prob. 12.74, show (a) that the...Ch. 12.2 - Prob. 12.76PCh. 12.2 - For the particle of Prob. 12.76, determine the...Ch. 12.2 - Determine the mass of the earth knowing that the...Ch. 12.2 - Prob. 12.79PCh. 12.2 - Prob. 12.80PCh. 12.2 - Prob. 12.81PCh. 12.2 - The orbit of the planet Venus is nearly circular...Ch. 12.2 - A satellite is placed into a circular orbit about...Ch. 12.2 - The periodic time (see Prob. 12.83) of an earth...Ch. 12.2 - Prob. 12.85PCh. 12.2 - Prob. 12.86PCh. 12.2 - Prob. 12.87PCh. 12.2 - Prob. 12.88PCh. 12.2 - Prob. 12.89PCh. 12.2 - A 1 -kg collar can slide on a horizontal rod that...Ch. 12.2 - A 1-Ib ball A and a 2-Ib ball B are mounted on a...Ch. 12.2 - Two 2.6-Ib collars A and B can slide without...Ch. 12.2 - A small ball swings in a horizontal circle at the...Ch. 12.3 - A uniform crate C with mass m is being transported...Ch. 12.3 - A uniform crate C with mass m is being transported...Ch. 12.3 - A particle of mass m is projected from point A...Ch. 12.3 - A particle of mass m describes the logarithmic...Ch. 12.3 - Prob. 12.96PCh. 12.3 - Prob. 12.97PCh. 12.3 - Prob. 12.98PCh. 12.3 - It was observed that during the Galileo...Ch. 12.3 - Prob. 12.100PCh. 12.3 - Prob. 12.101PCh. 12.3 - Prob. 12.102PCh. 12.3 - Prob. 12.103PCh. 12.3 - A satellite describes a circular orbit at an...Ch. 12.3 - A space probe is to be placed in a circular orbit...Ch. 12.3 - Prob. 12.106PCh. 12.3 - Prob. 12.107PCh. 12.3 - Prob. 12.108PCh. 12.3 - Prob. 12.109PCh. 12.3 - Prob. 12.110PCh. 12.3 - Prob. 12.111PCh. 12.3 - Prob. 12.112PCh. 12.3 - Prob. 12.113PCh. 12.3 - Prob. 12.114PCh. 12.3 - Prob. 12.115PCh. 12.3 - Prob. 12.116PCh. 12.3 - Prob. 12.117PCh. 12.3 - A satellite describes an elliptic orbit about a...Ch. 12.3 - Prob. 12.119PCh. 12.3 - Prob. 12.120PCh. 12.3 - Show that the angular momentum per unit mass h of...Ch. 12 - In the braking test of a sports car, its velocity...Ch. 12 - A bucket is attached to a rope of length L=1.2 m...Ch. 12 - Block A has a weight of 40 Ib, and block B has a...Ch. 12 - Prob. 12.125RPCh. 12 - Prob. 12.126RPCh. 12 - The parasailing system shown uses a winch to pull...Ch. 12 - A robot arm moves in the vertical plane so that...Ch. 12 - Telemetry technology is used to quantify kinematic...Ch. 12 - Prob. 12.130RPCh. 12 - Prob. 12.131RPCh. 12 - Prob. 12.132RPCh. 12 - Disk A rotates in a horizontal plane about a...
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
- In anticipation of a long 7° upgrade, a bus driver accelerates at a constant rate of 3 ft/s2 while still on a level section of the highway. Knowing that the speed of the bus is 60 mi/h as it begins to climb the grade and that the driver does not change the setting of his throttle or shift gears, determine the distance traveled by the bus up the grade when its speed has decreased to 50 mi/h.arrow_forwardA motorist is traveling on a curved section of highway with a radius of 2500 ft at a speed of 60 mi/h. The motorist suddenly applies the brakes, causing the automobile to slow down at a constant rate. If the speed has been reduced to 45 mi/h after 8 s, determine the acceleration of the automobile immediately after the brakes have been applied.arrow_forwardDetermine the maximum theoretical speed that may be achieved over a distance of 70 m by a car starting from rest, knowing that the coefficient of static friction is 0.80 between the tires and the pavement and that 60 percent of the weight of the car is distributed over its front wheels and 40 percent over its rear wheels. Assume a four-wheel drive car. The maximum theoretical speed that may be achieved is ____ km/h.arrow_forward
- A tugboat pulls a small barge through a harbor. The propeller thrust minus the drag produces a net thrust that varies linearly with speed. Knowing that the combined weight of the tug and barge is 3600 kN, determine (a) the time required to increase the speed from an initial value v1 = 1.0 m/s to a final value v2 = 2.5 m/s, (b) the distance traveled during this time interval.arrow_forwardThe brakes of a car are applied, causing it to slow down at a rate of 10 ft/s2 . Knowing that the car stops in 300 ft, determine (a) how fast the car was traveling immediately before the brakes were applied, (b) the time required for the car to stop.arrow_forwardThe subway train shown is traveling at a speed of 30 mi/h when the brakes are fully applied on the wheels of cars B and C , causing them to slide on the track, but are not applied on the wheels of car A. Knowing that the coefficient of kinetic friction is 0.35 between the wheels and the track, determine (a) the distance required to bring the train to a stop, (b) the force in each coupling.arrow_forward
- Wires AC and BC are attached to a sphere which revolves at a constant speed v in the horizontal circle of radius r as shown. Draw a FBD and KD of C.arrow_forwardA parachutist is in free fall at a rate of 200 km/h when he opens his parachute at an altitude of 600 m. Following a rapid and constant deceleration, he then descends at a constant rate of 50 km/h from 586 m to 30 m, where he maneuvers the parachute into the wind to further slow his descent. Knowing that the parachutist lands with a negligible downward velocity, determine (a) the time required for the parachutist to land after opening his parachute, (b) the initial deceleration.arrow_forwardPeople with mobility impairments can gain great health and social benefits from participating in different recreational activities. You are tasked with designing an adaptive spring-powered shuffleboard attachment that can be utilized by people who use wheelchairs. Knowing that the coefficient of kinetic friction between the 15 ounce puck A and the wooden surface is 0.3, the maximum spring displacement you desire is 6 inches, and that you want the puck to travel at least 30 ft/s, determine (a) the spring constant k, (b) how far the athlete should pull back the spring to make the puck come to rest after 34 ft.arrow_forward
- The brakes of a car are applied, causing it to slow down at a rate of 1.5 m/s2. Knowing that the car stops in 300 m, determine the time required for the car to stop.arrow_forwardA stone is thrown vertically upward from a point on a bridge located 40 m above the water. Knowing that it strikes the water 4 s after release, determine (a) the speed with which the stone was thrown upward, (b) the speed with which the stone strikes the water.arrow_forwardInitially, a car travels along a straight road with a speed v ... l'he brakes of a car are applied, causing it to slow down at a rate of 8 ft / s4. Knowing that the car stops in 300ft, determine: (a) How fast the car was traveling immediately before the brakes were applied, (b) The time required for the car to stop.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY