Vector Mechanics For Engineers
12th Edition
ISBN: 9781259977237
Author: BEER
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 12.1, Problem 12.24P
To determine
(a)
Length of runway required for the plane to take − off.
To determine
(b)
Time required to take − off.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A cart is loaded with a brick and pulled at constant speed along an inclined
plane to the height of a seat-top. If the mass of the loaded cart is 3.0 kg and the
height of the seat top is 0.45 meters, then what is the potential energy of the
loaded cart at the height of the seat-top?
A
If a force of 14.7 N is used to drag the loaded
cart (from previous question) along the
incline for a distance of 0.90 meters, then
how much work is done on the loaded cart?
A 7.8-Mg truck is resting on the deck of a barge which displaces 374 Mg and is at rest in still water. If the truck starts and drives toward
the bow at a speed relative to the barge vrel = 5.6 km/h, calculate the speed v of the barge. The resistance to the motion of the barge
through the water is negligible at low speeds.
Vrel = 5.6 km/h 7.8 Mg
%3D
374 Mg
Answer: v =
km/h
Principle of Angular Impulse and Momentum
To apply the principle of angular impulse and momentum to find final speed and the time to reach a given speed.
As shown, ball B, having a mass of 10.0 kg, is attached to the end of a rod whose mass can be neglected.
Finding the final speed of the ball If the rod is 0.550 m long and subjected to a torque M=(1.95t2+3.75) N⋅m, where t is in seconds, determine the speed of the ball when t=4.80 s. The ball has a speed of v=2.25 m/s when t=0
Finding the time needed to reach a specific speed
If the shaft is 0.250 m long, the ball has a speed of v=2.85 m/s when t=0, and the rod is subjected to a torque M=(3.40t+2.15) N⋅m, where t is in seconds, determine the time it will take for the ball to reach a speed of 5.80 m/s.
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
- Calculate the distance d from the center of the earth at which the force on a particle from the moon is equal to 0.87 times the force on the particle from the earth. The particle is restricted to the line through the center of the earth and the moon. Justify the two solutions (d₁arrow_forwardA 10.1-Mg truck is resting on the deck of a barge which displaces 209 Mg and is at rest in still water. If the truck starts and drives toward the bow at a speed relative to the barge Vrel = 7.8 km/h, calculate the speed v of the barge. The resistance to the motion of the barge through the water is negligible at low speeds. 209 Mg Answer: v= i 7.8 km/h 10.1 Mg km/harrow_forwardGiven a 1400 kg car traveling along a route with an increasing vertical profile y=0.0003x^2. Determine the x-component of the car's velocity (m/s) and the total force (kN) if the constant velocity is 30 m/s and the distance is 210m. Hint: A line's slope is equal to tan theta, where theta is an angle measured from the x-axis.arrow_forwardTwo cars collide at an intersection. Car A, with a mass of 2027 kg, is going from west to east, while car B, of mass 1535 kg, is going from north to south at 18 m/s. As a result of this collision, the two cars stick together and they moved at an angle of 65° south of east from the point of impact. How fast (in m/s) were the entangled cars moving just after the collision? North |B West - East Southarrow_forwardA 1400-kg automobile starts from rest and travels 400 m during a performance test. The motion of the automobile is defined by the relation x= 4000 ln(cosh 0.03t), where x and t are expressed in meters and seconds, respectively. The magnitude of the aerodynamic drag is D = 0.35v2 , where D and v are expressed in newtons and m/s, respectively. Determine the power dissipated by the aerodynamic drag when (a) t= 10 s, (b) t= 15 s.arrow_forwardUsing a simple pulley/rope system, a crewman on an Arctic expedition is trying to lower a 6.56 kg crate to the bottom of a steep ravine of 24.7 meters. The 60.9 kg crewman is carefully lowering the crate at a constant speed of 1.50 m/s. Unfortunately, when the crate reaches a point of 13.7 meters above the ground, the crewman slips and the crate immediately accelerates toward the ground dragging the crewman across the ice and toward the edge of the cliff. Assuming no friction, at what speed does the crate hit the ground? Also, assume that the rope is long enough to hit the ground. At what speed does the crewman hit the bottom of the ravine? Assume no air friction.arrow_forwardCalculate the distance d from the center of the earth at which the force on a particle from the moon is equal to 1.25 times the force on the particle from the earth. The particle is restricted to the line through the center of the earth and the moon. Justify the two solutions (d₁arrow_forwardA space shuttle is in a circular orbit at an altitude of 103 mi. Calculate the absolute value of g at this altitude and determine the corresponding weight of a shuttle passenger who weighs 165 lb when standing on the surface of the earth at a latitude of 45°. Are the terms "zero-g" and "weightless," which are sometimes used to describe conditions aboard orbiting spacecraft, correct in the absolute sense? Answers: ft/sec² Sh lb Wh= iarrow_forwardDuring an Olympic 100-m sprint race, Usain Bolt, the world record holder in that race, quickly accelerates to his top speed of 12.4 m/s. Analysis of his technique has shown that each of his feet make contact with the ground for 0.0800 s, exerting a force of magnitude 2.80 x 10° N during this contact. This allows the 94.0 kg Bolt to leap forward and remain airborne for 0.120 s until the next foot touches the ground. (Ignore air resistance.) (a) What are the magnitudes of the horizontal and vertical components of the force (in N) Bolt's feet exert on the ground? (Round your answers to at least three significant figures.) horizontal N vertical (b) Assuming that the sprinter accelerates at a constant rate while his feet are in contact with the ground and does not slow down when he is airborne, by what amount does Bolt's horizontal speed (in m/s) increase with each step? (Round your answer to at least three significant figures.) m/s (c) Assuming that the sprinter's speed increases at a…arrow_forwardA spring-loaded device imparts an initial vertical velocity of 58 m/s to a 0.11-kg ball. The drag force on the ball is Fp = 0.0021v², where Fp is in newtons when the speed v is in meters per second. Determine the maximum altitude h attained by the ball (a) with drag considered and (b) with drag neglected. 1b = 58 m/s Answers: 0.11 kg (a) With drag: h = i (b) Without drag: h= i m marrow_forwardThe radius of a highway curve is 120m, and has an angle of 9.31 from the horizontal. The center of gravity of the car is located 0.80m above the roadway and the distance between the two front wheels is 1.2m. if the car has a total weight of 15KN, a. Determine the normal acceleration (m/s2) and the velocity (in kph) of the car before overturning? Assume that friction is great enough to prevent sliding. b. Find the maximum velocity of the car could move in the curve so that there will be no pressure between the tires and the roadway, kph. c. What is the velocity of the car to prevent sliding up if the coefficient of kinetic friction is 0.60?arrow_forwardA 2500-lb automobile is moving at a speed of 60 mi/h when the brakes are fully applied, causing all four wheels to skid. Determine the time required to stop the automobile (a) on dry pavement (µz = 0.75), (b) on an icy road (uk = 0.10).arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended 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 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 EducationControl 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
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY