Engineering Mechanics: Dynamics
8th Edition
ISBN: 9781118885840
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 2.6, Problem 152P
To determine
Determine the acceleration of the aircraft and the direction of acceleration component.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
This is a tilt and rotation question. Here are notes attached for reference. ONLY UPLOAD A SOLUTION IF YOU ARE SURE ABOUT THE ANSWER PLEASE.
(b): Let us first consider controlling the orbit of deputy spacecraft to rendezvous with chief spacecraft.
Define x = [r] and x = x = R to represent the deputy orbital state and its target (= chief
orbit) in Cartesian coordinates, respectively. The control input is thruster acceleration, u € R³, in the
ECI frame. Denote the relative state by dx = x-x. Table 2 summarize the initial orbital elements.
Table 2: Keplerian orbital elements at epoch (t = 0) for deputy and chief about Earth (ECI frame)
Orbital element
Deputy
Unit
Chief
semi-major axis
ad =
11500
ac 10000 km
eccentricity
inclination
ed = 0.15
id=35
ee = 0.3
i = 50
degree
right ascension of ascending node d = 50
Ως = 50
degree
argument of periapsis
true anomaly at epoch
Wd
Vd= 0
=
40
We =
40
degree
Ve=0
degree
(b.1): Derive the error dynamics of our system in ECI frame under the influence of u.
(b.2): Consider a candidate Lyapunov function V = ½dr¹ K₁dr+dv₁dv, where K₁ = K, and K, > 0.
Discuss the positive definiteness of V, and…
One image show problem c.1 and c.2 that I need help with. The second image shows the lyapunov function and its derivative but it is NOT the same function that is given in problem. I have attached that image as an example.
Chapter 2 Solutions
Engineering Mechanics: Dynamics
Ch. 2.2 - Prob. 1PCh. 2.2 - Problems 2/1 through 2/8 treat the motion of a...Ch. 2.2 - Problems 2/1 through 2/8 treat the motion of a...Ch. 2.2 - Problems 2/1 through 2/8 treat the motion of a...Ch. 2.2 - Problems 2/1 through 2/8 treat the motion of a...Ch. 2.2 - Problems 2/1 through 2/8 treat the motion of a...Ch. 2.2 - Problems 2/1 through 2/8 treat the motion of a...Ch. 2.2 - Problems 2/1 through 2/8 treat the motion of a...Ch. 2.2 - Prob. 9PCh. 2.2 - A particle in an experimental apparatus has a...
Ch. 2.2 - Ball 1 is launched with an initial vertical...Ch. 2.2 - Experimental data for the motion of a particle...Ch. 2.2 - In the pinewood-derby event shown, the car is...Ch. 2.2 - A ball is thrown vertically up with a velocity of...Ch. 2.2 - A car comes to a complete stop from an initial...Ch. 2.2 - The pilot of a jet transport brings the engines to...Ch. 2.2 - A game requires that two children each throw a...Ch. 2.2 - Prob. 18PCh. 2.2 - In the final stages of a moon landing, the lunar...Ch. 2.2 - A girl rolls a ball up an incline and allows it to...Ch. 2.2 - At a football tryout, a player runs a 40-yard dash...Ch. 2.2 - The main elevator A of the CN Tower in Toronto...Ch. 2.2 - A Scotch-yoke mechanism is used to convert rotary...Ch. 2.2 - A train which is traveling at 80 mi/hr applies its...Ch. 2.2 - Small steel balls fall from rest through the...Ch. 2.2 - Car A is traveling at a constant speed vA = 130...Ch. 2.2 - Prob. 27PCh. 2.2 - A particle moving along a straight line has an...Ch. 2.2 - Prob. 29PCh. 2.2 - An electric car is subjected to acceleration tests...Ch. 2.2 - A vacuum-propelled capsule for a high-speed tube...Ch. 2.2 - If the velocity v of a particle moving along a...Ch. 2.2 - The 230,000-lb space-shuttle orbiter touches down...Ch. 2.2 - Prob. 35PCh. 2.2 - The cart impacts the safety barrier with speed v0...Ch. 2.2 - Prob. 37PCh. 2.2 - Prob. 38PCh. 2.2 - Prob. 39PCh. 2.2 - Prob. 41PCh. 2.2 - A projectile is fired downward with initial speed...Ch. 2.2 - The aerodynamic resistance to motion of a car is...Ch. 2.2 - Prob. 44PCh. 2.2 - Prob. 45PCh. 2.2 - Prob. 46PCh. 2.2 - The stories of a tall building are uniformly 10...Ch. 2.2 - Prob. 48PCh. 2.2 - Prob. 49PCh. 2.2 - Prob. 50PCh. 2.2 - Prob. 51PCh. 2.2 - Car A travels at a constant speed of 65 mi/hr....Ch. 2.2 - Prob. 53PCh. 2.2 - Prob. 54PCh. 2.2 - Prob. 55PCh. 2.2 - Prob. 56PCh. 2.2 - Prob. 57PCh. 2.2 - Repeat Prob. 2/57 for the case where aerodynamic...Ch. 2.4 - At time t = 10 s, the velocity of a particle...Ch. 2.4 - Prob. 60PCh. 2.4 - At time t = 0, a particle is at rest in the x-y...Ch. 2.4 - The rectangular coordinates of a particle which...Ch. 2.4 - For a certain interval of motion the pin A is...Ch. 2.4 - With what minimum horizontal velocity u can a boy...Ch. 2.4 - Prove the well-known result that, for a given...Ch. 2.4 - A placekicker is attempting to make a 64-yard...Ch. 2.4 - Prob. 67PCh. 2.4 - Prob. 68PCh. 2.4 - If a strong wind induces a constant rightward...Ch. 2.4 - Prob. 70PCh. 2.4 - Prob. 71PCh. 2.4 - A boy tosses a ball onto the roof of a house. For...Ch. 2.4 - A small airplane flying horizontally with a speed...Ch. 2.4 - As part of a circus performance, a man is...Ch. 2.4 - Prob. 75PCh. 2.4 - Prob. 76PCh. 2.4 - Prob. 77PCh. 2.4 - Prob. 78PCh. 2.4 - If the tennis player serves the ball horizontally...Ch. 2.4 - A golfer is attempting to reach the elevated green...Ch. 2.4 - Prob. 81PCh. 2.4 - Prob. 82PCh. 2.4 - A ski jumper has the takeoff conditions shown....Ch. 2.4 - Prob. 84PCh. 2.4 - Prob. 85PCh. 2.4 - Prob. 86PCh. 2.4 - A projectile is launched from point A with the...Ch. 2.4 - A team of engineering students is designing a...Ch. 2.4 - Prob. 89PCh. 2.4 - Determine the location h of the spot toward which...Ch. 2.4 - A projectile is launched from point A with υ0 = 30...Ch. 2.4 - A projectile is fired with a velocity u at right...Ch. 2.4 - A projectile is launched from point A with an...Ch. 2.4 - A projectile is launched from point A and lands on...Ch. 2.4 - A projectile is launched with speed υ0 from point...Ch. 2.4 - A projectile is ejected into an experimental fluid...Ch. 2.5 - A test car starts from rest on a horizontal...Ch. 2.5 - If the compact disc is spinning at a constant...Ch. 2.5 - Prob. 99PCh. 2.5 - Determine the maximum speed for each car if the...Ch. 2.5 - An accelerometer C is mounted to the side of the...Ch. 2.5 - The driver of the truck has an acceleration of...Ch. 2.5 - A particle moves along the curved path shown. The...Ch. 2.5 - Prob. 104PCh. 2.5 - A sprinter practicing for the 200-m dash...Ch. 2.5 - A train enters a curved horizontal section of...Ch. 2.5 - Prob. 107PCh. 2.5 - Prob. 108PCh. 2.5 - An overhead view of part of a pinball game is...Ch. 2.5 - Prob. 110PCh. 2.5 - The speed of a car increases uniformly with time...Ch. 2.5 - A minivan starts from rest on the road whose...Ch. 2.5 - Consider the polar axis of the earth to be fixed...Ch. 2.5 - Prob. 114PCh. 2.5 - Prob. 115PCh. 2.5 - Prob. 116PCh. 2.5 - Prob. 117PCh. 2.5 - The preliminary design for a “small” space station...Ch. 2.5 - Prob. 119PCh. 2.5 - Prob. 120PCh. 2.5 - The figure shows a portion of a plate cam used in...Ch. 2.5 - Prob. 122PCh. 2.5 - During a short interval the slotted guides are...Ch. 2.5 - The particle P starts from rest at point A at time...Ch. 2.5 - Prob. 125PCh. 2.5 - Prob. 126PCh. 2.5 - In the design of a control mechanism, the vertical...Ch. 2.5 - In a handling test, a car is driven through the...Ch. 2.5 - A particle which moves with curvilinear motion has...Ch. 2.5 - A projectile is launched at time t = 0 with the...Ch. 2.6 - A car P travels along a straight road with a...Ch. 2.6 - The sprinter begins from rest at position A and...Ch. 2.6 - A drone flies over an observer O with constant...Ch. 2.6 - Motion of the sliding block P in the rotating...Ch. 2.6 - Rotation of bar OA is controlled by the lead screw...Ch. 2.6 - Prob. 136PCh. 2.6 - The boom OAB pivots about point O, while section...Ch. 2.6 - Prob. 138PCh. 2.6 - Consider the portion of an excavator shown. At the...Ch. 2.6 - Prob. 140PCh. 2.6 - Prob. 141PCh. 2.6 - A helicopter starts from rest at point A and...Ch. 2.6 - Prob. 143PCh. 2.6 - Prob. 144PCh. 2.6 - A fireworks shell P is launched upward from point...Ch. 2.6 - Prob. 146PCh. 2.6 - The rocket is fired vertically and tracked by the...Ch. 2.6 - Prob. 148PCh. 2.6 - Prob. 149PCh. 2.6 - Instruments located at O are part of the ground...Ch. 2.6 - Prob. 152PCh. 2.6 - At the bottom of a loop in the vertical (r-θ)...Ch. 2.6 - The member OA of the industrial robot telescopes...Ch. 2.6 - Prob. 155PCh. 2.6 - Prob. 156PCh. 2.6 - Prob. 157PCh. 2.6 - Prob. 158PCh. 2.6 - An earth satellite traveling in the elliptical...Ch. 2.6 - A meteor P is tracked by a radar observatory on...Ch. 2.6 - Prob. 161PCh. 2.6 - At time t = 0, the baseball player releases a ball...Ch. 2.6 - The racing airplane is beginning an inside loop in...Ch. 2.6 - A golf ball is driven with the initial conditions...Ch. 2.7 - The rectangular coordinates of a particle are...Ch. 2.7 - A projectile is launched from point O with an...Ch. 2.7 - Prob. 167PCh. 2.7 - Prob. 168PCh. 2.7 - Prob. 169PCh. 2.7 - The radar antenna at P tracks the jet aircraft A,...Ch. 2.7 - The rotating element in a mixing chamber is given...Ch. 2.7 - Prob. 172PCh. 2.7 - For the helicopter of Prob. 2/172, find the values...Ch. 2.7 - Prob. 174PCh. 2.7 - An industrial robot is being used to position a...Ch. 2.7 - Prob. 176PCh. 2.7 - Initial calculate the velocity of the spherical...Ch. 2.7 - Prob. 178PCh. 2.7 - Prob. 179PCh. 2.7 - Prob. 180PCh. 2.7 - Prob. 181PCh. 2.7 - The disk A rotates about the vertical z-axis with...Ch. 2.8 - Rapid-transit trains A and B travel on parallel...Ch. 2.8 - Prob. 184PCh. 2.8 - Prob. 185PCh. 2.8 - A helicopter approaches a rescue scene. A victim P...Ch. 2.8 - Prob. 187PCh. 2.8 - Train A travels with a constant speed vA = 120...Ch. 2.8 - The car A has a forward speed of 18 km/h and is...Ch. 2.8 - For the instant represented, car A has an...Ch. 2.8 - A drop of water falls with no initial speed from...Ch. 2.8 - Plano A travels along the indicated path with a...Ch. 2.8 - For the planes of Prob. 2/192, beginning at the...Ch. 2.8 - Prob. 194PCh. 2.8 - At the instant illustrated, car B has a speed of...Ch. 2.8 - Car A is traveling at 25 mi/hr and applies the...Ch. 2.8 - As part of an unmanned-autonomous-vehicle (UAV)...Ch. 2.8 - Prob. 199PCh. 2.8 - Prob. 200PCh. 2.8 - Prob. 201PCh. 2.8 - Prob. 202PCh. 2.8 - Prob. 203PCh. 2.8 - Prob. 204PCh. 2.8 - The aircraft A with radar detection equipment is...Ch. 2.8 - Prob. 206PCh. 2.9 - If the velocity of block A up the incline is...Ch. 2.9 - Prob. 208PCh. 2.9 - At a certain instant, the velocity of cylinder B...Ch. 2.9 - Determine the velocity of cart A if cylinder B has...Ch. 2.9 - An electric motor M is used to reel in cable and...Ch. 2.9 - Determine the relation which governs the...Ch. 2.9 - Determine an expression for the velocity vA of the...Ch. 2.9 - Neglect the diameters of the small pulleys and...Ch. 2.9 - Under the action of force P, the constant...Ch. 2.9 - Prob. 216PCh. 2.9 - Prob. 217PCh. 2.9 - Prob. 218PCh. 2.9 - Prob. 219PCh. 2.9 - Prob. 220PCh. 2.9 - Determine the vertical rise h of the load W during...Ch. 2.9 - Prob. 222PCh. 2.9 - Prob. 223PCh. 2.9 - Prob. 224PCh. 2.9 - Prob. 225PCh. 2.9 - Prob. 226PCh. 2.9 - The two sliders are connected by the light rigid...Ch. 2.9 - Prob. 228PCh. 2.10 - Prob. 229RPCh. 2.10 - Prob. 230RPCh. 2.10 - Prob. 231RPCh. 2.10 - Prob. 232RPCh. 2.10 - Prob. 233RPCh. 2.10 - Two airplanes are performing at an air show. Plane...Ch. 2.10 - Prob. 235RPCh. 2.10 - A bicyclist rides along the hard-packed sand beach...Ch. 2.10 - Prob. 237RPCh. 2.10 - Prob. 238RPCh. 2.10 - Prob. 239RPCh. 2.10 - Prob. 240RPCh. 2.10 - Prob. 241RPCh. 2.10 - Prob. 242RPCh. 2.10 - Prob. 243RPCh. 2.10 - Prob. 244RPCh. 2.10 - Prob. 245RPCh. 2.10 - Prob. 246RPCh. 2.10 - Prob. 247RPCh. 2.10 - If all frictional effects are neglected, the...Ch. 2.10 - Prob. 250RPCh. 2.10 - Prob. 251RPCh. 2.10 - A projectile is launched from point A with speed...Ch. 2.10 - Prob. 254RPCh. 2.10 - Prob. 256RP
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
- This is a tilt and rotation question. Here are notes attached for reference.arrow_forwardThe crate of mass m is supported on a cart of negligible mass as shown in (Figure 1). Determine the maximum force P that can be applied a distance d from the cart bottom without causing the crate to tip on the cart. Express your answer in terms of some, all, or none of the variables b, d, h, m, and the acceleration due to gravity g. P B harrow_forwardConsider a pair of pipes running in parallel, through which 1200 GPM flows, which have thefollowing features:Pipe 1: Carbon Steel, Schedule 40, 8" Diameter, 1200 GPM, Water at 44°F, Fittings:2 tees, 2 butterfly valves, 2 pressure gauges with their respective ball valves, 1 valvemotorized balloon. All valves are completely open. Length of the pipe is 6 feet. Pipe 2: consists of a carbon steel bypass pipe, schedule 40, diameter of 4",with the following accessories: 2 elbows long radius of 90° and an open globe valve.The length of the pipe is 10 feet. a) Determine the flow rate in each pipe.b) The pressure drop.arrow_forward
- 1-ft3 of air is contained in a spring-loaded piston-cylinder device. The spring constant is 6 lbf/in, and thepiston diameter is 12 in. When no force is exerted by the spring on the piston, the state of the air is 250 psiaand 450◦F. This device is now cooled until the volume is one-third its original size. Determine the changein the specific internal energy and enthalpy of the air.arrow_forwardThis is a tilt and rotation question. Here are notes attached for reference.arrow_forwardThis is a tilt and rotation question. Here are notes attached for reference.arrow_forward
- I need help with a MATLAB code. For question b.6 I have the MATLAB code shown below. How do I edit the code to answer question b.7. Please make sure the plots are reasonable. clc; clear all; % Constants mu = 398600; % Earth gravitational parameter, km^3/s^2 % Initial chief and deputy positions and velocities in ECI frame % Assume circular orbits in equatorial plane for simplicity a_c = 10000; % km a_d = 11500; % km r_c0 = [a_c; 0; 0]; v_c0 = [0; sqrt(mu/a_c); 0]; r_d0 = [a_d; 0; 0]; v_d0 = [0; sqrt(mu/a_d); 0]; % Initial relative state delta_r0 = r_d0 - r_c0; delta_v0 = v_d0 - v_c0; x0 = [delta_r0; delta_v0]; % 6x1 initial relative state % Time span tspan = [0 3600]; % 1 hour in seconds % Damping cases cases = struct( ... 'name', {'Critically damped', 'Under-damped', 'Over-damped'}, ... 'Kr', {eye(3)*2.5e-3, eye(3)*0.001, eye(3)*0.01}, ... 'P', {eye(3)*0.01, eye(3)*0.0006, eye(3)*0.02} ... ); % Simulate each case for i = 1:length(cases) Kr = cases(i).Kr; P =…arrow_forwardJust do Questions 7, 9, 11. Here are notes attached for reference.arrow_forwardThis is a tilt and rotation question. Here are notes attached for reference.arrow_forward
- Thermodynamics: Mass and Energy Analysis Of Control Volumes A spring-loaded piston-cylinder device contains 1.5 kg of carbon dioxide. This system is heated from 200kPa and 25◦C to 1200 kPa and 300◦C. Determine the total heat transfer to and work produced by this system.arrow_forwardCan you help with a code in MATLAB?arrow_forwardI need help writing a code in MATLAB. Please help me with question b.6arrow_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 Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering 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