Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 16.7, Problem 122P
If member AB has the angular motion shown, determine the angular velocity and angular acceleration of member CD at the instant shown.
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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
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)
Chapter 16 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 16.3 - When the gear rotates 20 revolutions, it achieves...Ch. 16.3 - The flywheel rotates with an angular velocity of ...Ch. 16.3 - The flywheel rotates with an angular velocity of (...Ch. 16.3 - The bucket is hoisted by the rope that wraps...Ch. 16.3 - A wheel has an angular acceleration of = (0.5 )...Ch. 16.3 - For a short period of time, the motor turns gear A...Ch. 16.3 - Prob. 1PCh. 16.3 - The angular acceleration of the disk is defined by...Ch. 16.3 - The disk is originally rotating at 0 = 12 rad/s....Ch. 16.3 - Prob. 4P
Ch. 16.3 - The disk is driven by a motor such that the...Ch. 16.3 - A wheel has an initial clockwise angular velocity...Ch. 16.3 - Prob. 7PCh. 16.3 - If gear A rotates with an angular velocity of A =...Ch. 16.3 - Prob. 9PCh. 16.3 - At the instant A = 5 rad/s. pulley A is given a...Ch. 16.3 - The cord, which is wrapped around the disk, is...Ch. 16.3 - The power of a bus engine is transmitted using the...Ch. 16.3 - Prob. 13PCh. 16.3 - The disk starts from rest and is given an angular...Ch. 16.3 - The disk starts from rest and is given an angular...Ch. 16.3 - The disk starts at o = 1 rad/s when = 0, and is...Ch. 16.3 - A motor gives gear A an angular acceleration of A...Ch. 16.3 - A motor gives gear A an angular acceleration of A...Ch. 16.3 - Prob. 19PCh. 16.3 - Prob. 20PCh. 16.3 - Prob. 21PCh. 16.3 - If the motor turns gear A with an angular...Ch. 16.3 - Prob. 23PCh. 16.3 - Prob. 24PCh. 16.3 - Prob. 25PCh. 16.3 - Prob. 26PCh. 16.3 - Prob. 27PCh. 16.3 - Prob. 28PCh. 16.3 - Prob. 29PCh. 16.3 - At the instant shown, gear A is rotating with a...Ch. 16.3 - Determine the distance the load W is lifted in t =...Ch. 16.3 - Prob. 32PCh. 16.3 - Prob. 33PCh. 16.3 - Prob. 34PCh. 16.3 - Prob. 35PCh. 16.3 - Prob. 36PCh. 16.3 - The rod assembly is supported by ball-and-socket...Ch. 16.3 - Prob. 38PCh. 16.4 - The end A of the bar is moving downward along the...Ch. 16.4 - At the instant = 60, the slotted guide rod is...Ch. 16.4 - At the instant = 50, the slotted guide is moving...Ch. 16.4 - At the instant shown, = 60, and rod AB is...Ch. 16.4 - Prob. 43PCh. 16.4 - Determine the velocity and acceleration of the...Ch. 16.4 - Prob. 45PCh. 16.4 - The circular cam rotates about the fixed point O...Ch. 16.4 - Determine the velocity of the rod R for any angle ...Ch. 16.4 - Determine the velocity and acceleration of the peg...Ch. 16.4 - Bar AB rotates uniformly about the fixed pin A...Ch. 16.4 - Prob. 50PCh. 16.4 - Prob. 51PCh. 16.4 - Prob. 53PCh. 16.4 - Prob. 54PCh. 16.4 - Prob. 55PCh. 16.4 - Prob. 56PCh. 16.5 - If roller A moves to the right with a constant...Ch. 16.5 - Prob. 8FPCh. 16.5 - Determine the angular velocity of the spool. The...Ch. 16.5 - If crank OA rotates with an angular velocity of =...Ch. 16.5 - Prob. 11FPCh. 16.5 - Prob. 12FPCh. 16.5 - At the instant shown the boomerang has an angular...Ch. 16.5 - If the block at C is moving downward at 4 ft/s,...Ch. 16.5 - The link AB has an angular velocity of 3 rad/s....Ch. 16.5 - The slider block C moves at 8 m/s down the...Ch. 16.5 - Determine the angular velocity of links AB and BC...Ch. 16.5 - The planetary gear A is pinned at B. Link BC...Ch. 16.5 - If the angular velocity of link AB is AB = 3...Ch. 16.5 - The pinion gear A rolls on the fixed gear rack B...Ch. 16.5 - The pinion gear rolls on the gear racks. If B is...Ch. 16.5 - Determine the angular velocity of the gear and the...Ch. 16.5 - Determine the velocity of point A on the rim of...Ch. 16.5 - Prob. 68PCh. 16.5 - Prob. 69PCh. 16.5 - Prob. 70PCh. 16.5 - Prob. 71PCh. 16.5 - Prob. 72PCh. 16.5 - Prob. 73PCh. 16.5 - Prob. 74PCh. 16.5 - Prob. 75PCh. 16.5 - Prob. 76PCh. 16.5 - Prob. 77PCh. 16.5 - If the ring gear A rotates clockwise with an...Ch. 16.5 - Prob. 79PCh. 16.5 - Prob. 80PCh. 16.6 - Establish the location of the instantaneous center...Ch. 16.6 - Prob. 13FPCh. 16.6 - Prob. 14FPCh. 16.6 - If the center O of the wheel is moving with a...Ch. 16.6 - If cable AB is unwound with a speed of 3 m/s, and...Ch. 16.6 - Prob. 17FPCh. 16.6 - Determine the angular velocity of links BC and CD...Ch. 16.6 - Prob. 81PCh. 16.6 - Determine the angular velocity of link AB at the...Ch. 16.6 - The shaper mechanism is designed to give a slow...Ch. 16.6 - The conveyor belt is moving to the right at v = 8...Ch. 16.6 - The conveyor belt is moving to the right at v = 12...Ch. 16.6 - As the cord unravels from the wheels inner hub,...Ch. 16.6 - Prob. 87PCh. 16.6 - If bar AB has an angular velocity AB = 6 rad/s,...Ch. 16.6 - Prob. 89PCh. 16.6 - Prob. 90PCh. 16.6 - Prob. 91PCh. 16.6 - Prob. 92PCh. 16.6 - Prob. 93PCh. 16.6 - Prob. 94PCh. 16.6 - As the car travels forward at 80 ft/s on a wet...Ch. 16.6 - The pinion gear A rolls on the fixed gear rack B...Ch. 16.6 - Prob. 97PCh. 16.6 - If the hub gear H has an angular velocity H = 5...Ch. 16.6 - The crankshaft AB rotates at AB = 50 rad/s about...Ch. 16.6 - Prob. 100PCh. 16.6 - The planet gear A is pin connected to the end of...Ch. 16.7 - Solve Prob. 16-101 if the sun gear D is rotating...Ch. 16.7 - Set up the relative acceleration equation between...Ch. 16.7 - At the instant shown, end A of the rod has the...Ch. 16.7 - Prob. 20FPCh. 16.7 - The gear rolls on the fixed rack B. At the instant...Ch. 16.7 - At the instant shown, cable AB has a velocity of 3...Ch. 16.7 - At the instant shown, the wheel rotates with an...Ch. 16.7 - At the instant shown, wheel A rotates with an...Ch. 16.7 - Bar AB has the angular motions shown. Determine...Ch. 16.7 - At a given instant the bottom A of the ladder has...Ch. 16.7 - At a given instant the top B of the ladder has an...Ch. 16.7 - Prob. 106PCh. 16.7 - At a given instant the roller A on the bar has the...Ch. 16.7 - The rod is confined to move along the path due to...Ch. 16.7 - Member AB has the angular motions shown. Determine...Ch. 16.7 - The slider block has the motion shown. Determine...Ch. 16.7 - At a given instant the slider block A is moving to...Ch. 16.7 - Determine the angular acceleration of link CD if...Ch. 16.7 - The reel of rope has the angular motion shown....Ch. 16.7 - Prob. 114PCh. 16.7 - Prob. 115PCh. 16.7 - The disk has an angular acceleration = 8 rad/s2...Ch. 16.7 - The disk has an angular acceleration = 8 rad/s2...Ch. 16.7 - Prob. 118PCh. 16.7 - Prob. 119PCh. 16.7 - Prob. 120PCh. 16.7 - Prob. 121PCh. 16.7 - If member AB has the angular motion shown,...Ch. 16.7 - If member AB has the angular motion shown,...Ch. 16.7 - The disk rolls without slipping such that it has...Ch. 16.7 - Prob. 125PCh. 16.7 - The slider block moves with a velocity of vB = 5...Ch. 16.8 - The slider block moves with a velocity of vB = 5...Ch. 16.8 - Prob. 129PCh. 16.8 - Prob. 130PCh. 16.8 - Prob. 131PCh. 16.8 - Prob. 132PCh. 16.8 - Water leaves the impeller of the centrifugal pump...Ch. 16.8 - Prob. 134PCh. 16.8 - Prob. 135PCh. 16.8 - Rod AB rotates counterclockwise with a constant...Ch. 16.8 - Prob. 137PCh. 16.8 - Collar B moves to the left with a speed of 5 m/s,...Ch. 16.8 - Prob. 139PCh. 16.8 - At the instant shown rod AB has an angular...Ch. 16.8 - Prob. 141PCh. 16.8 - Prob. 142PCh. 16.8 - Peg B on the gear slides freely along the slot in...Ch. 16.8 - Prob. 144PCh. 16.8 - A ride in an amusement park consists of a rotating...Ch. 16.8 - Prob. 146PCh. 16.8 - If the slider block C is fixed to the disk that...Ch. 16.8 - Prob. 148PCh. 16.8 - Prob. 149PCh. 16.8 - Prob. 150PCh. 16.8 - Prob. 151PCh. 16.8 - Prob. 152PCh. 16.8 - Prob. 4CPCh. 16.8 - Prob. 1RPCh. 16.8 - Starting at (A)0 = 3 nad/s, when = 0, s = 0,...Ch. 16.8 - Prob. 3RPCh. 16.8 - Prob. 4RPCh. 16.8 - Prob. 5RPCh. 16.8 - At the instant shown, link AB has an angular...Ch. 16.8 - Prob. 7RPCh. 16.8 - At the given instant member AB has the angular...
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- 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',... 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_forwardThe answer should equal to 1157. Please sent me the solution. Thank you!arrow_forward
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