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,
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Textbook Question
Chapter 15.7, Problem 15.232P
Using the method of Sec. 15.7A, solve Prob. 15.196.
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I need help with a MATLAB code. This code just keeps running and does not give me any plots. I even reduced the tolerance from 1e-9 to 1e-6. Can you help me fix this? Please make sure your solution runs.
% Initial Conditions
rev = 0:0.001:2;
g1 = deg2rad(1);
g2 = deg2rad(3);
g3 = deg2rad(6);
g4 = deg2rad(30);
g0 = deg2rad(0);
Z0 = 0;
w0 = [0; Z0*cos(g0); -Z0*sin(g0)];
Z1 = 5;
w1 = [0; Z1*cos(g1); -Z1*sin(g1)];
Z2 = 11;
w2 = [0; Z2*cos(g2); -Z2*sin(g2)];
[v3, psi3, eta3] = Nut_angle(Z2, g2, w2);
plot(v3, psi3)
function dwedt = K_DDE(~, w_en)
% Extracting the initial condtions to a variable
% Extracting the initial condtions to a variable
w = w_en(1:3);
e = w_en(4:7);
Z = w_en(8);
I = 0.060214;
J = 0.015707;
x = (J/I) - 1;
y = Z - 1;
s = Z;
% Kinematic Differential Equations
dedt = zeros(4,1);
dedt(1) = pi*(e(3)*(s-w(2)-1) + e(2)*w(3) + e(4)*w(1));
dedt(2) = pi*(e(4)*(w(2)-1-s) + e(3)*w(1) - e(1)*w(3));
dedt(3) = pi*(-e(1)*(s-w(2)-1) - e(2)*w(1) + e(4)*w(3));…
alpha 1 is not zero
alpha 1 can equal alpha 2
use velocity triangle to solve for alpha 1
USE MATLAB ONLY
provide typed code
solve for velocity triangle and dont provide copied answer
Turbomachienery .
GIven:
vx = 185 m/s, flow angle = 60 degrees, (leaving a stator in axial flow) R = 0.5, U = 150 m/s, b2 = -a3, a2 = -b3
Find: velocity triangle , a. magnitude of abs vel leaving rotor (m/s) b. flow absolute angles (a1, a2, a3) 3. flow rel angles (b2, b3) d. specific work done e. use code to draw vel. diagram
Use this code for plot
% plots Velocity Tri. in Ch4
function plotveltri(al1,al2,al3,b2,b3)
S1L = [0 1];
V1x = [0 0];
V1s = [0 1*tand(al3)];
S2L = [2 3];
V2x = [0 0];
V2s = [0 1*tand(al2)];
W2s = [0 1*tand(b2)];
U2x = [3 3];
U2y = [1*tand(b2) 1*tand(al2)];
S3L = [4 5];
V3x = [0 0];
V3r = [0 1*tand(al3)];
W3r = [0 1*tand(b3)];
U3x = [5 5];
U3y = [1*tand(b3) 1*tand(al3)];
plot(S1L,V1x,'k',S1L,V1s,'r',...
S2L,V2x,'k',S2L,V2s,'r',S2L,W2s,'b',U2x,U2y,'g',...…
3. Find a basis of eigenvectors and diagonalize.
4
0
-19
7
a.
b.
1-42
16
12-20
[21-61
Chapter 15 Solutions
Vector Mechanics For Engineers
Ch. 15.1 - A rectangular plate swings from arms of equal...Ch. 15.1 - Knowing that wheel A rotates with a constant...Ch. 15.1 - The brake drum is attached to a larger flywheel...Ch. 15.1 - The motion of an oscillation flvdee1 is defined by...Ch. 15.1 - The motion of an oscillation flywheel is defined...Ch. 15.1 - Prob. 15.4PCh. 15.1 - A small grinding wheel is attached to the shaft of...Ch. 15.1 - A connecting rod is supported by a knife-edge at...Ch. 15.1 - When studying whiplash resulting from rear-end...Ch. 15.1 - The angular acceleration of an oscillating disk is...
Ch. 15.1 - The angular acceleration of a shaft is defined by...Ch. 15.1 - Prob. 15.10PCh. 15.1 - Prob. 15.11PCh. 15.1 - The rectangular block shown rotates about the...Ch. 15.1 - The rectangular block shown rotates about the...Ch. 15.1 - A circular plate of 120-mm radius is supported by...Ch. 15.1 - In Prob. 15.14, determine the velocity and...Ch. 15.1 - The earth makes one complete revolution around the...Ch. 15.1 - The earth makes one complete revolution on its...Ch. 15.1 - The sprocket wheel and chain shown initially at...Ch. 15.1 - Prob. 15.19PCh. 15.1 - The belt sander shown is initially at rest. If the...Ch. 15.1 - The rated speed of drum B of the belt sander shown...Ch. 15.1 - The two pulleys shown may be operated with the V...Ch. 15.1 - A cyclist uses a statior.ary trainer during the...Ch. 15.1 - gear reduction system consists of three gears A,...Ch. 15.1 - A belt is pulled to the right between cylinders A...Ch. 15.1 - Ring C has an inside radius of 55 mm and an...Ch. 15.1 - At the instant shown, the angular velocity of...Ch. 15.1 - A plastic film moves over two drums. During a 4-s...Ch. 15.1 - Cylinder A is moving downward with a velocity of 3...Ch. 15.1 - The system shown is held at rest by the...Ch. 15.1 - A load is to be raised 20 ft by the hoisting...Ch. 15.1 - A simple friction drive consists of two disks A...Ch. 15.1 - Two friction wheels A and B are both rotating...Ch. 15.1 - Two friction disks A and B are to be brought into...Ch. 15.1 - Two friction disks A and B are brought into...Ch. 15.1 - Steel tape is being wound onto a spool that...Ch. 15.1 - Prob. 15.37PCh. 15.2 - The ball rolls without slipping on the fixed...Ch. 15.2 - Three uniform rods—ABC, DCE, and FGH—are connected...Ch. 15.2 - An automobile travel, to the right at a constant...Ch. 15.2 - Prob. 15.39PCh. 15.2 - A painter is halfway up a 10-m ladder when the...Ch. 15.2 - Rod AB can slide freely along the floor and the...Ch. 15.2 - Rod AB can slide freely along the floor and the...Ch. 15.2 - Rod AB moves over a small wheel at C while end A...Ch. 15.2 - The disk shown moves in the xy plane. Knowing that...Ch. 15.2 - The disk shown moves in the xy p1ane. Knowing that...Ch. 15.2 - Prob. 15.46PCh. 15.2 - Velocity sensors are placed on a satellite that is...Ch. 15.2 - In the planetary gear system shown, the radius of...Ch. 15.2 - In the planetary gear system shown, the radius of...Ch. 15.2 - The outer gear C rotates with an angular velocity...Ch. 15.2 - In the simplified sketch of a ball bearing shown,...Ch. 15.2 - A simplified gear system for a mechanical watch is...Ch. 15.2 - Arm ACB rotates about point C with an angular...Ch. 15.2 - Arm ACB rotates about point C with an angular...Ch. 15.2 - Knowing that at the instant shown the angular...Ch. 15.2 - Prob. 15.56PCh. 15.2 - Knowing that the disk has a constant angular...Ch. 15.2 - The disk has a constant angular velocity of 20...Ch. 15.2 - The test rig is shown was developed to perform...Ch. 15.2 - In the concentric shown, a disk of 2-in. radius...Ch. 15.2 - In the engine system shown, l=160mmandb=60mm ....Ch. 15.2 - In the engine system shown, l=160 mm and b=60 mm....Ch. 15.2 - Knowing that the angular velocity of rod DE is a...Ch. 15.2 - In the position shown bar AB has an anu1ar...Ch. 15.2 - Linkage DBEF is part of a windshield wiper...Ch. 15.2 - Roberts linkage is named after Richard Roberts...Ch. 15.2 - Roberts linkage is named after Richard Roberts...Ch. 15.2 - For the oil pump rig shown, link AB causes the...Ch. 15.2 - For the oil pump rig shown, link AB causes the...Ch. 15.2 - Both 6-in.-radius wheels roll without slipping on...Ch. 15.2 - The 80-mm-radius wheel shown rolls to the left...Ch. 15.2 - For the gearing shown, derive an expression for...Ch. 15.3 - The disk rolls without sliding on the fixed...Ch. 15.3 - Bar BDE is pinned to two links, AB and CD. At the...Ch. 15.3 - A juggling club is thrown vertically into the air....Ch. 15.3 - At the instant shown during deceleration, the...Ch. 15.3 - A helicopter moves horizontally in the x direction...Ch. 15.3 - A 60-mm-radius drum is rigidly attached to a...Ch. 15.3 - Prob. 15.77PCh. 15.3 - In order to uncoil electrical wire from a...Ch. 15.3 - In order to uncoil electrical wire from a spool...Ch. 15.3 - The arm ABC rotates with an angular velocity of 4...Ch. 15.3 - The double gear rolls on the stationary left rack...Ch. 15.3 - An overhead door is guided by wheels at A and B...Ch. 15.3 - Rod ABD is guided by wheels at A and B that roll...Ch. 15.3 - Knowing that at the instant shown the angular...Ch. 15.3 - Prob. 15.85PCh. 15.3 - A motor at O drives the windshield wiper mechanism...Ch. 15.3 - A motor at O drives the windshield wiper mechanism...Ch. 15.3 - Rod AB can slide freely along the floor and the...Ch. 15.3 - Small wheels have been attached to the ends of bar...Ch. 15.3 - Two slots have been cut in plate FG and the plate...Ch. 15.3 - The disk is released from rest and rolls down the...Ch. 15.3 - The pin at B is attached to member ABD and can...Ch. 15.3 - Two identical rods ABF and DBE are Connected by a...Ch. 15.3 - Ann ABD is connected by pins to a collar at B and...Ch. 15.3 - Two rods ABD and DE are Connected to three collars...Ch. 15.3 - Two 500-mm rods are pin-connected at D as shown....Ch. 15.3 - At the instant shown, the velocity of collar A is...Ch. 15.3 - Prob. 15.98PCh. 15.3 - Describe the space centrode and the body centrode...Ch. 15.3 - Describe the space centrode and the body centrode...Ch. 15.3 - Using the method of Sec. 15.3, solve Prob. 15.60.Ch. 15.3 - Using the method of Sec. 15.3, solve Prob. 15.64.Ch. 15.3 - Using the method of Sec. 15.3, solve Prob. 15.65.Ch. 15.3 - Using the method of Sec. 15.3, solve Prob. 15.38.Ch. 15.4 - A rear-wheel-drive car starts from rest and...Ch. 15.4 - A 5-m steel beam is lowered by means of two cables...Ch. 15.4 - For a 5-m steel beam AE, the acceleration of point...Ch. 15.4 - A 900-mm rod rests on a horizontal table A force P...Ch. 15.4 - In Prob. 15.107, determine the point of the rod...Ch. 15.4 - Knowing that point A is moving to the right at a...Ch. 15.4 - Knowing that at the instant shown crank BC has a...Ch. 15.4 - automobile travels to the left at a constant speed...Ch. 15.4 - The 18-in.-radius flywheel is rigidly attached to...Ch. 15.4 - A 3-in.-radius drum is rigidly attached to a...Ch. 15.4 - A 3-in.-radius drum is rigidly attached to a...Ch. 15.4 - A heavy crate is being moved a sbo1 distance using...Ch. 15.4 - A wheel rolls without slipping on a fixed...Ch. 15.4 - The 100-nun-radius drum rolls without slipping on...Ch. 15.4 - In the planetary gear system shown, the radius of...Ch. 15.4 - The 200-mm-radius disk rolls without sliding on...Ch. 15.4 - Knowing that crank AB rotates about point A with a...Ch. 15.4 - Knowing that crank AB rotates about point A with a...Ch. 15.4 - In the two-cylinder air compressor shown, the...Ch. 15.4 - Prob. 15.123PCh. 15.4 - Arm AB has a constant angular velocity of 16 rad/s...Ch. 15.4 - Arm AB has a constant angular velocity of 16 rad/s...Ch. 15.4 - A straight rack rests on a gear of radius r=3 in....Ch. 15.4 - The elliptical exercise machine has fixed axes of...Ch. 15.4 - The elliptical exercise machine has fixed axes of...Ch. 15.4 - Prob. 15.129PCh. 15.4 - Knowing that at the instant shown bar DE has an...Ch. 15.4 - Knowing that at the instant shown bar AB has a...Ch. 15.4 - Prob. 15.132PCh. 15.4 - Prob. 15.133PCh. 15.4 - Prob. 15.134PCh. 15.4 - Roberts linkage is named after Richard Roberts...Ch. 15.4 - For the oil pump rig shown, link AB causes the...Ch. 15.4 - Denoting by rA the position vector of a point A of...Ch. 15.4 - The drive disk of the Scotch crosshead mechanism...Ch. 15.4 - The wheels attached to the ends of rod AB roll...Ch. 15.4 - The wheels attached to the ends of rod AB roll...Ch. 15.4 - A disk of radius r rolls to the right with a...Ch. 15.4 - Ladder AB moves over a smooth corner at C while...Ch. 15.4 - Prob. 15.143PCh. 15.4 - Crank4B rotates with a constant c1ockise angular...Ch. 15.4 - Crank 4B rotates with a constant clockwise angular...Ch. 15.4 - Solve the engine system from Sample Prob. 15.15...Ch. 15.4 - The position of rod AB is controlled by a disk of...Ch. 15.4 - A wheel of radius r rolls without slipping along...Ch. 15.4 - In Prob. 15. 148, show that the path of P is a...Ch. 15.5 - A person walks radially inward on a platform that...Ch. 15.5 - Prob. 15.150PCh. 15.5 - Prob. 15.151PCh. 15.5 - Two rotating rods are connected by slider block P....Ch. 15.5 - Two rotating rods are connected by slider block P....Ch. 15.5 - Pin P is attached to the wheel shown and slides in...Ch. 15.5 - Knowing that at the instant shown the angular...Ch. 15.5 - Knowing that at the instant shown the anu1ar...Ch. 15.5 - The motion of pin P is guided by slots cut in...Ch. 15.5 - Four pins slide in four separate slots cut in a...Ch. 15.5 - Solve Prob. 15.158, assuming that the plate...Ch. 15.5 - The cage of a mine elevator moves downward at a...Ch. 15.5 - Prob. 15.161PCh. 15.5 - A rocket sled is tested o a straight track that is...Ch. 15.5 - Prob. 15.163PCh. 15.5 - Prob. 15.164PCh. 15.5 - Prob. 15.165PCh. 15.5 - In the automated welding setup shown, the position...Ch. 15.5 - In the automated welding setup shown, the position...Ch. 15.5 - A chain is looped around two gears of radius 40 mm...Ch. 15.5 - A chain is looped around two gears of radius 40 mm...Ch. 15.5 - Prob. 15.170PCh. 15.5 - The human leg can be crudely approximated as two...Ch. 15.5 - The collar P slides outward at a constant relative...Ch. 15.5 - Pin P slides in a circular slot cut in the plate...Ch. 15.5 - Rod AD is bent in the shape of an are of a circle...Ch. 15.5 - Solve Prob. 15.l74 when =90 .Ch. 15.5 - Prob. 15.176PCh. 15.5 - Prob. 15.177PCh. 15.5 - In Prob. 15.177, determine the angular velocity...Ch. 15.5 - Prob. 15.179PCh. 15.5 - Prob. 15.180PCh. 15.5 - Rod AB passes through a collar that is welded to...Ch. 15.5 - Solve Prob. 15.181 assuming block A moves to the...Ch. 15.5 - In Prob. 15.157, determine the acceleration of pin...Ch. 15.6 - The bowling ball shown rolls without slipping on...Ch. 15.6 - The bowling ball shown rolls without slipping on...Ch. 15.6 - Prob. 15.186PCh. 15.6 - At the instant considered, the radar antenna shown...Ch. 15.6 - Prob. 15.188PCh. 15.6 - The disk of a portable sander rotates at the...Ch. 15.6 - Prob. 15.190PCh. 15.6 - Prob. 15.191PCh. 15.6 - In the system shown, disk A is free to rotate...Ch. 15.6 - Prob. 15.193PCh. 15.6 - A radar system is used to track a new experimental...Ch. 15.6 - Prob. 15.195PCh. 15.6 - A 3-in-radius disk spins at the constant rate 2=4...Ch. 15.6 - The cone shown rolls on the zx plane with its apex...Ch. 15.6 - At the instant shown, the robotic arm ABC is being...Ch. 15.6 - Prob. 15.199PCh. 15.6 - In Prob. 15.199, determine (a) the common angular...Ch. 15.6 - Several rods are brazed together to form the...Ch. 15.6 - In Prob. 15.201, the speed of point B is known to...Ch. 15.6 - Rod AB of length 25 in. is connected by ball...Ch. 15.6 - Rod AB has a length of 13 in. and is connected by...Ch. 15.6 - Rod BC and BD are each 840 mm long and are...Ch. 15.6 - Rod AB is connected by ball-and-socket joints to...Ch. 15.6 - Rod AB of length 29 in. is connected by...Ch. 15.6 - Rod AB of length 300 mm is connected by ball...Ch. 15.6 - Rod AB of length 300 mm is connected by...Ch. 15.6 - Two shafts AC and EG, which lie in the vertical yz...Ch. 15.6 - Solve Prob. 15.210, assuming that the arm of the...Ch. 15.6 - Rod BC has a length of 42 in. and is connected by...Ch. 15.6 - Rod AB has a length of 275 mm and is connected by...Ch. 15.6 - For the mechanism of Prob.15.204, determine the...Ch. 15.6 - In Prob. 15.205, determine the acceleration of...Ch. 15.6 - In Prob. 15.206, determine the acceleration of...Ch. 15.6 - In Prob. 15.207, determine the acceleration of...Ch. 15.6 - In Prob. 15.208, determine the acceleration of...Ch. 15.6 - In Prob. 15.209, determine the acceleration of...Ch. 15.7 - A flight simulator is used to train pilots on how...Ch. 15.7 - A flight simulator is used to train pilots on how...Ch. 15.7 - Prob. 15.222PCh. 15.7 - Prob. 15.223PCh. 15.7 - Rod AB is welded to the 0.3-m-radius plate that...Ch. 15.7 - The bent rod shown rotates at the constant rate of...Ch. 15.7 - The bent pipe shown rotates at the constant rate...Ch. 15.7 - The circular plate shown rotates about its...Ch. 15.7 - Manufactured items are spray-painted as they pass...Ch. 15.7 - Solve Prob. 15.227, assuming that at the instant...Ch. 15.7 - Solve Prob. 15.225, assuming that at the instant...Ch. 15.7 - Using the method of Sec. 15.7A, solve Prob....Ch. 15.7 - Using the method of Sec. 15.7A, solve Prob....Ch. 15.7 - Using the method of Sec. 15.7A, solve Prob....Ch. 15.7 - The 400-mm bar AB is made to rotate at the...Ch. 15.7 - The 400-mm bar AB is made to rotate at the rate...Ch. 15.7 - The arm AB of length 16 ft is used to provide an...Ch. 15.7 - The remote manipulator system (RMS) shown is used...Ch. 15.7 - A disk with a radius of 120 mm rotates at the...Ch. 15.7 - The crane shown rotates at the constant rate...Ch. 15.7 - Prob. 15.240PCh. 15.7 - Prob. 15.241PCh. 15.7 - Prob. 15.242PCh. 15.7 - Prob. 15.243PCh. 15.7 - A square plate of side 2r is welded to a vertical...Ch. 15.7 - Two disks, each of 130-mm radius, are welded to...Ch. 15.7 - In Prob. 15.245, determine the velocity and...Ch. 15.7 - The position of the stylus tip A is controlled by...Ch. 15 - A wheel moves in the xy plane in such a way that...Ch. 15 - Two blocks and a pulley e connected by...Ch. 15 - A baseball pitching machine is designed to deliver...Ch. 15 - The flywheel OD on the elliptical machine analyzed...Ch. 15 - Prob. 15.252RPCh. 15 - Knowing that at the instant shown rod AB has zero...Ch. 15 - Rod AB is attached to a collar at A and is fitted...Ch. 15 - flows through a curved pipe .AB that rotates with...Ch. 15 - A disk of 0.15-m radius rotates at the constant...Ch. 15 - Two rods AE and BD pass through holes drilled into...Ch. 15 - Rod BC of length 24 in. is connected by ball...Ch. 15 - In the positions shown, the thin rod moves at a...
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- 2. Find the eigenvalues. Find the corresponding eigenvectors. 6 2 -21 [0 -3 1 3 31 a. 2 5 0 b. 3 0 -6 C. 1 1 0 -2 0 7 L6 6 0 1 1 2. (Hint: λ = = 3)arrow_forwardUSE MATLAB ONLY provide typed code solve for velocity triangle and dont provide copied answer Turbomachienery . GIven: vx = 185 m/s, flow angle = 60 degrees, (leaving a stator in axial flow) R = 0.5, U = 150 m/s, b2 = -a3, a2 = -b3 Find: velocity triangle , a. magnitude of abs vel leaving rotor (m/s) b. flow absolute angles (a1, a2, a3) 3. flow rel angles (b2, b3) d. specific work done e. use code to draw vel. diagram Use this code for plot % plots Velocity Tri. in Ch4 function plotveltri(al1,al2,al3,b2,b3) S1L = [0 1]; V1x = [0 0]; V1s = [0 1*tand(al3)]; S2L = [2 3]; V2x = [0 0]; V2s = [0 1*tand(al2)]; W2s = [0 1*tand(b2)]; U2x = [3 3]; U2y = [1*tand(b2) 1*tand(al2)]; S3L = [4 5]; V3x = [0 0]; V3r = [0 1*tand(al3)]; W3r = [0 1*tand(b3)]; U3x = [5 5]; U3y = [1*tand(b3) 1*tand(al3)]; plot(S1L,V1x,'k',S1L,V1s,'r',... S2L,V2x,'k',S2L,V2s,'r',S2L,W2s,'b',U2x,U2y,'g',... S3L,V3x,'k',S3L,V3r,'r',S3L,W3r,'b',U3x,U3y,'g',...... 'LineWidth',2,'MarkerSize',10),...…arrow_forwardUSE MATLAB ONLY provide typed code solve for velocity triangle and dont provide copied answer Turbomachienery . GIven: vx = 185 m/s, flow angle = 60 degrees, R = 0.5, U = 150 m/s, b2 = -a3, a2 = -b3 Find: velocity triangle , a. magnitude of abs vel leaving rotor (m/s) b. flow absolute angles (a1, a2, a3) 3. flow rel angles (b2, b3) d. specific work done e. use code to draw vel. diagram Use this code for plot % plots Velocity Tri. in Ch4 function plotveltri(al1,al2,al3,b2,b3) S1L = [0 1]; V1x = [0 0]; V1s = [0 1*tand(al3)]; S2L = [2 3]; V2x = [0 0]; V2s = [0 1*tand(al2)]; W2s = [0 1*tand(b2)]; U2x = [3 3]; U2y = [1*tand(b2) 1*tand(al2)]; S3L = [4 5]; V3x = [0 0]; V3r = [0 1*tand(al3)]; W3r = [0 1*tand(b3)]; U3x = [5 5]; U3y = [1*tand(b3) 1*tand(al3)]; plot(S1L,V1x,'k',S1L,V1s,'r',... S2L,V2x,'k',S2L,V2s,'r',S2L,W2s,'b',U2x,U2y,'g',... S3L,V3x,'k',S3L,V3r,'r',S3L,W3r,'b',U3x,U3y,'g',...... 'LineWidth',2,'MarkerSize',10),... axis([-1 6 -4 4]), ...…arrow_forward
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