Vector Mechanics for Engineers: Dynamics
11th Edition
ISBN: 9780077687342
Author: Ferdinand P. Beer, E. Russell Johnston Jr., Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 11.4, Problem 11.102P
In slow pitch softball, the underhand pitch must reach a maximum height of between 1.8 m and 3.7 m above the ground. A pitch is made with an initial velocity v0 with a magnitude of 13 m/s at an angle of 33° with the horizontal. Determine (a) if the pitch meets the maximum height requirement, (b) the height of the ball as it reaches the batter.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Q.1 A cannon ball is fired downwards from a tower of height h = 50 m with an initial
velocity of 18 m/s. Determine the velocity at which the ball hits the ground and
the time it takes the ball to fall to the ground.
A steel wire connects two trains at rest on the same track. The wire will snapif it is stretched by as much as 1 percent. The trains begin to accelerate in such away that their velocities, as measured in the ground frame, are always equal.Eventually, the wire snaps. Explain carefully why this happens. How fast are thetrains moving when the wire snaps?
At time t = 0, a projectile is launched from ground level. At t = 2.00 s, it is displaced d = 42 m horizontally and h = 59 m vertically above the launch point. What are the (a) horizontal and (b)vertical components of the initial velocity of the projectile? (c) At the instant it reaches its maximum height above ground level, what is its horizontal displacement D from the launch point?
Chapter 11 Solutions
Vector Mechanics for Engineers: Dynamics
Ch. 11.1 - A bus travels the 100 miles between A and B at 50...Ch. 11.1 - Two cars A and B race each other down a straight...Ch. 11.1 - A snowboarder starts from rest at the top of a...Ch. 11.1 - The motion of a particle is defined by the...Ch. 11.1 - The vertical motion of mass A is defined by the...Ch. 11.1 - A loaded railroad car is rolling at a constant...Ch. 11.1 - The motion of a particle is defined by the...Ch. 11.1 - The motion of a particle is defined by the...Ch. 11.1 - A girl operates a radio-controlled model ear in a...Ch. 11.1 - The motion of a particle is defined by the...
Ch. 11.1 - The brakes of a car are applied, causing it to...Ch. 11.1 - The acceleration of a particle is defined by the...Ch. 11.1 - The acceleration of a particle is directly...Ch. 11.1 - The acceleration of a particle is defined by the...Ch. 11.1 - A Scotch yoke is a mechanism that transforms the...Ch. 11.1 - For the Scotch yoke mechanism shown, the...Ch. 11.1 - A piece is by electronic equipment that is...Ch. 11.1 - A projectile enters a resisting medium at x=0 with...Ch. 11.1 - The acceleration of a particle is defined by the...Ch. 11.1 - A brass (nonmagnetic) block A and a steel magnet B...Ch. 11.1 - Based on experimental observations, the...Ch. 11.1 - A spring AB is attached to a support at A and to a...Ch. 11.1 - The acceleration of a particle is defined by the...Ch. 11.1 - Starting from x=0 with no initial velocity, a...Ch. 11.1 - A ball is dropped from a boat so that it strikes...Ch. 11.1 - The acceleration of a particle is defined by the...Ch. 11.1 - The acceleration of a particle is defined by the...Ch. 11.1 - A human-powered vehicle (HPV) team wants to model...Ch. 11.1 - Experimental data indicate that in a region...Ch. 11.1 - Based on observations, the speed of a jogger can...Ch. 11.1 - The acceleration due to gravity at an altitude y...Ch. 11.1 - The acceleration due to gravity of a particle...Ch. 11.1 - The velocity of a particle is v=v0[1sin(t/T)] ....Ch. 11.1 - An eccentric circular cam, which serves a similar...Ch. 11.2 - An airplane begins its take-off run at A with zero...Ch. 11.2 - A motorist is travelling at 54 km/h when she...Ch. 11.2 - Steep safety ramps are built beside mountain...Ch. 11.2 - A group of students launches a model rocket in the...Ch. 11.2 - A small package is released from rest at A and...Ch. 11.2 - A sprinter in a 100-m race accelerates uniformly...Ch. 11.2 - Automobile A starts from O and accelerates at the...Ch. 11.2 - In a boat race, boat A is leading boat B by 50 m...Ch. 11.2 - As relay runner A enters the 65-ft-long exchange...Ch. 11.2 - Automobiles A and B are traveling in adjacent...Ch. 11.2 - Two automobiles A and B are approaching each other...Ch. 11.2 - An elevator is moving upward at a constant speed...Ch. 11.2 - Two rockets are launched at a fireworks display....Ch. 11.2 - Car A is parked along the northbound lane of a...Ch. 11.2 - The elevator E shown in the figure moves downward...Ch. 11.2 - The elevator E shown starts from rest and moves...Ch. 11.2 - An athlete pulls handle A to the left with a...Ch. 11.2 - An athlete pulls handle A to the left with a...Ch. 11.2 - Slider block B moves to the right with a constant...Ch. 11.2 - At the instant shown, slider block B is moving...Ch. 11.2 - A farmer lifts his hay bales into the top loft of...Ch. 11.2 - The motor M reels in the cable at a constant rate...Ch. 11.2 - Collar A starts from rest at t=0 and moves upward...Ch. 11.2 - Block A starts from rest at t=0 and moves downward...Ch. 11.2 - Block B starts from rest, block A moves with a...Ch. 11.2 - Block B moves downward with a constant velocity of...Ch. 11.2 - The system shown starts from rest, and each...Ch. 11.2 - The system shown starts from rest, and the length...Ch. 11.3 - A particle moves in a straight line with a...Ch. 11.3 - A particle moves in a straight line with a...Ch. 11.3 - A particle moves in a straight line with the...Ch. 11.3 - Prob. 11.64PCh. 11.3 - Prob. 11.65PCh. 11.3 - A parachutist is in free fall at a rate of 200...Ch. 11.3 - A commuter train traveling at 40 mi/h is 3 mi from...Ch. 11.3 - Prob. 11.68PCh. 11.3 - In a water-tank test involving the launching of a...Ch. 11.3 - Prob. 11.70PCh. 11.3 - Prob. 11.71PCh. 11.3 - A car and a truck are both traveling at the...Ch. 11.3 - Solve Prob. 11.72, assuming that the driver of the...Ch. 11.3 - Car A is traveling on a highway at a constant...Ch. 11.3 - An elevator starts from rest and moves upward,...Ch. 11.3 - Car A is traveling at 40 mi/h when it enters a 30...Ch. 11.3 - An accelerometer record for the motion of a given...Ch. 11.3 - Prob. 11.78PCh. 11.3 - An airport shuttle train travels between two...Ch. 11.3 - Prob. 11.80PCh. 11.3 - Prob. 11.81PCh. 11.3 - The acceleration record shown was obtained during...Ch. 11.3 - A training airplane has a velocity of 126 ft/s...Ch. 11.3 - Shown in the figure is a portion of the...Ch. 11.3 - An elevator starts from rest and rises 40 m to its...Ch. 11.3 - Prob. 11.86PCh. 11.3 - Prob. 11.87PCh. 11.3 - Prob. 11.88PCh. 11.4 - Two model rockets are fired simultaneously from a...Ch. 11.4 - Ball A is thrown straight up. Which of the...Ch. 11.4 - Ball A is thrown straight up with an initial speed...Ch. 11.4 - Two cars are approaching an intersection at...Ch. 11.4 - Blocks A and B are released from rest in the...Ch. 11.4 - A ball is thrown so that the motion is defined by...Ch. 11.4 - The motion of a vibrating particle is defined by...Ch. 11.4 - The motion of a vibrating particle is defined by...Ch. 11.4 - The motion of a particle is defined by the...Ch. 11.4 - Prob. 11.93PCh. 11.4 - A girl operates a radio-controlled model car in a...Ch. 11.4 - The three-dimensional motion of a particle is...Ch. 11.4 - Prob. 11.96PCh. 11.4 - An airplane used to drop water on brushfires is...Ch. 11.4 - A ski jumper starts with a horizontal take-off...Ch. 11.4 - A baseball pitching machine "throws" baseballs...Ch. 11.4 - While delivering newspapers, a girl throws a...Ch. 11.4 - What flows from a drain spout with an initial...Ch. 11.4 - In slow pitch softball, the underhand pitch must...Ch. 11.4 - A volleyball player serves the ball with an...Ch. 11.4 - A golfer hits a golf ball with an initial velocity...Ch. 11.4 - A homeowner uses a snowblower to clear his...Ch. 11.4 - At halftime of a football game, souvenir balls are...Ch. 11.4 - A basketball player shoots when she is 16 ft from...Ch. 11.4 - A tennis player serves the ball at a height h=2.5...Ch. 11.4 - The nozzle at A discharges cooling water with an...Ch. 11.4 - While holding one of its ends, a worker lobs a...Ch. 11.4 - The pitcher in a softball game throws a ball with...Ch. 11.4 - Prob. 11.112PCh. 11.4 - Prob. 11.113PCh. 11.4 - Prob. 11.114PCh. 11.4 - An oscillating garden sprinkler which discharges...Ch. 11.4 - A nozzle at A discharges water with an initial...Ch. 11.4 - The velocities of skiers A and B are as shown....Ch. 11.4 - The three blocks shown move with constant...Ch. 11.4 - Three seconds after automobile B passes through...Ch. 11.4 - Shore-based radar indicates that a ferry leaves...Ch. 11.4 - Airplanes A and B are flying at the same altitude...Ch. 11.4 - Prob. 11.122PCh. 11.4 - Knowing that at the instant shown block B has a...Ch. 11.4 - Knowing that at the instant shown block A has a...Ch. 11.4 - A boat is moving to the right with a constant...Ch. 11.4 - The assembly of rod A and wedge B starts from rest...Ch. 11.4 - Prob. 11.127PCh. 11.4 - Conveyor belt A, which forms a 20° angle with the...Ch. 11.4 - During a rainstorm, the paths of the raindrops...Ch. 11.4 - Instruments in airplane A indicate that; with...Ch. 11.4 - When a small boat travels north at 5 km/h, a flag...Ch. 11.4 - As part of a department store display, a model...Ch. 11.5 - The Ferris wheel is rotating with a constant...Ch. 11.5 - A race car travels around the track shown at a...Ch. 11.5 - A child walks across merry go-round A with a...Ch. 11.5 - Determine the smallest radius that should be used...Ch. 11.5 - Prob. 11.134PCh. 11.5 - Human centrifuges are often used to simulate...Ch. 11.5 - The diameter of the eye of a stationary hurricane...Ch. 11.5 - The peripheral speed of the tooth of a...Ch. 11.5 - A robot arm moves so that P travels in a circle...Ch. 11.5 - A monorail train starts from rest on a curve of...Ch. 11.5 - A motorist starts from rest at point A on a...Ch. 11.5 - Race car A is traveling on a straight portion of...Ch. 11.5 - At a given instant in an airplane race, airplane A...Ch. 11.5 - A race car enters the circular portion of a track...Ch. 11.5 - An airplane flying at a constant speed of 240 m/s...Ch. 11.5 - A golfer hits a golf ball from point A with an...Ch. 11.5 - Three children are throwing snowballs at each...Ch. 11.5 - Coal is discharged from the tailgate A of a dump...Ch. 11.5 - From measurements of a photograph, it has been...Ch. 11.5 - A child throws a ball from point A with an initial...Ch. 11.5 - Prob. 11.150PCh. 11.5 - Prob. 11.151PCh. 11.5 - Prob. 11.152PCh. 11.5 - Prob. 11.153PCh. 11.5 - Prob. 11.154PCh. 11.5 - Prob. 11.155PCh. 11.5 - Prob. 11.156PCh. 11.5 - Prob. 11.157PCh. 11.5 - A satellite will travel indefinitely in a circular...Ch. 11.5 - Prob. 11.159PCh. 11.5 - Satellites A and B are traveling in the same plane...Ch. 11.5 - Prob. 11.161PCh. 11.5 - The path of a particle P is a limacon. The motion...Ch. 11.5 - During a parasailing ride, the boat is traveling...Ch. 11.5 - Prob. 11.164PCh. 11.5 - As rod OA rotates, pin P moves along the parabola...Ch. 11.5 - The pin at B is free to slide along the circular...Ch. 11.5 - To study the performance of a racecar a high-speed...Ch. 11.5 - After taking off, a helicopter climbs in a...Ch. 11.5 - At the bottom of a loop in the vertical plane, an...Ch. 11.5 - Pin C is attached to rod BC and slides freely in...Ch. 11.5 - Prob. 11.171PCh. 11.5 - Prob. 11.172PCh. 11.5 - Prob. 11.173PCh. 11.5 - Prob. 11.174PCh. 11.5 - Prob. 11.175PCh. 11.5 - Prob. 11.176PCh. 11.5 - Prob. 11.177PCh. 11.5 - Prob. 11.178PCh. 11.5 - Prob. 11.179PCh. 11.5 - Prob. 11.180PCh. 11.5 - Prob. 11.181PCh. 11 - The motion of a particle is defined by the...Ch. 11 - A drag racing car starts from rest and moves the...Ch. 11 - A particle moves in straight line with the...Ch. 11 - Prob. 11.185RPCh. 11 - Prob. 11.186RPCh. 11 - Collar A starts form rest at t=0 and moves...Ch. 11 - Prob. 11.188RPCh. 11 - As the truck shown begins to back up with a...Ch. 11 - A velodrome is a specially designed track used in...Ch. 11 - Prob. 11.191RPCh. 11 - Prob. 11.192RPCh. 11 - A telemetry system is used to quantify kinematic...
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
- Sweden and Norway are at war over who makes the best pickled herring. You are in charge of a Swedish artillery unit that is trying to shoot at some Norwegians located 1000 meters away at the same height as you are. If we neglect the friction of the air, the cannon ball follows a parabolic trajectory; as you certainly recall from prior courses, a cannon ball travels a distance L = V²sin(2a) 9 where V is the initial velocity, a is the angle of the cannon barrel, and g = 9.8 m/s² is the gravitational acceleration. You realize that you only have two options for how to shoot. Option (I) is to use 1 bag of gun powder, which produces an initial velocity of exactly V₁ = 105 m/s, and to try to set the angle to aI,nominal = 39 degree. Option (II) is to use 2 bags of gun powder, which produces exactly VII = 137 m/s, and to try to set the angle to aII,nominal = 15 degree. If you set the angles exactly to the nominal ones, compute the traveling distances. L₁ = LII = The problem is that the cannon…arrow_forwardOR Fig. 3 A robotic arm shown in Fig. 3 is programmed so that the 0.4-kg part A traces the radial path defined by r = 1–- 0.5 cos (2nt) meter and tranverse path of 0 = 0.5 – 0.2 sin (2nt) rad respectively. a) Calculate the velocity magnitude of part A at 1= 3 seconds. b) Determine the radial and transverse components of the force exerted on A by the robot jaws at 1= 2 seconds. Show the necessary Free-Body and Kinetic diagram to support your analysis.arrow_forwardQ4. One ball of mass m = 1.4 kg is being swung in the vertical, circular path with radius of r = 2.9 m. At the instant shown, the ball is moving at a speed of v = 5.7 m/s. Determine the total acceleration of the ball (in m/s²) at this instant. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². Your Answer: A 045° Answerarrow_forward
- A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth. What multiple of Earth's radius RE gives the radial distance (from the Earth's center) the projectile reaches if (a) its initial speed is 0.325 of the escape speed from Earth and (b) its initial kinetic energy is 0.325 of the kinetic energy required to escape Earth? (Give your answers as unitless numbers.) (c) What is the least initial mechanical energy required at launch if the projectile is to escape Earth? (a) Number i (b) Number i (c) Number i Units Units Units ✪ îarrow_forwardA gun is fired straight up. Assuming that the air drag on the bullet varies quadratically with speed, show that the speed varies with height according to the equations = Aea - (upward motton) o =- Be (downward motion) in which A and B are constants of integration, g is the acceleration of gravity, and k = cgm where c, is the drag constant and m is the mass of the bullet (Note: x is measured positive upward, and the gravitational force is assumed to be constant.)arrow_forwardA torpedo was fired at a target ship by a submarine. The torpedo monitor of the target ship detects that 10 seconds pass between the moments when the explosion noise emitted by the water and air is heard. The torpedo travels in a linear orbit in the water. The propagation speed of sound in air is known as 340 m/s and the propagation velocity in water is 1430 m/s. Calculate the distance between the target ship and the torpedo accordingly.arrow_forward
- Q5. As shown in the image below, two objects, A and B, are connected using the cable and pulley system. (The cable and pulley system is friction-less and weight-less.) If at this moment the velocity of object B is downward 2.0 m/s, determine the velocity of object A at this moment. In this problem, downward motion is considered positive, and in your answer, negative sign must be included if the motion of A is upward. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper Sl unit. A € B VBarrow_forwardA student on the ground fires a pebble from a catapult with a velocity of 30 m/s at an angle of 30° above the horizontal. If the pebble’s flight is interrupted by a vertical wall 12 m away from the student, at what height above the ground does the pebble hit the wall?arrow_forwardI Suppose an autonomous surface vessel (ASV) traveling with velocity TvG/O= vi₁ begins to make a turn by adjusting the thrust of its left and right thrusters, TA and TB, respectively. The center of mass of the ASV is located at G and the ASV is symmetric about its vertical axis. The ASV also experiences a drag force that is proportional to its speed and opposes its velocity. At the instant shown, the drag force is D = -kvi₁ where k is a drag coefficient. 1. To model the mass moment of inertia, approximate the ASV as consisting of three rigid bodies: a flat plate as a center body of mass 6m and two slender rods housing the propulsion assemblies, each of mass m, at the outboard sides of the vehicle. Determine the mass moment of inertia, IG, about the vertical axis passing through the center of mass G. (Hint: Use the parallel axis theorem.) 2. At the instant shown, determine the inertial acceleration vector ac/o = axi₁ + ayi2 of the center of mass and the angular acceleration a of the…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