Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 14.5, Problem 84P
The spring has an unstretched length of 1 m.
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USE MATLAB ONLY
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]), ...
title('Velocity Triangle'), ...
xlabel('x'),yl
The wall of a furnace has a thickness of 5 cm and thermal conductivity
of 0.7 W/m-°C. The inside surface is heated by convection with a hot
gas at 402°C and a heat transfer coefficient of 37 W/m²-°C. The
outside surface has an emissivity of 0.8 and is exposed to air at 27°C
with a heat transfer coefficient of 20 W/m²-ºC. Assume that the
furnace is inside a large room with walls, floor and ceiling at 27°C.
Show the thermal circuit and determine the heat flux through the
furnace wall.
h₁
T₁
k
-L
T.
sur
ho
E
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]), ...
title('Velocity Triangle'), ...
xlabel('x'),ylabel('y'), grid
Chapter 14 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 14.3 - Determine the work of the force when it displaces...Ch. 14.3 - Determine the kinetic energy of the 10-kg block.Ch. 14.3 - The spring is placed between the wall and the...Ch. 14.3 - If the motor exerts a constant force of 300 N on...Ch. 14.3 - The crate is initially at rest on the ground.Ch. 14.3 - If the drag force of the parachute can be...Ch. 14.3 - When s = 0.5 m, the spring is unstretched and the...Ch. 14.3 - The 5-lb collar is pulled by a cord that passes...Ch. 14.3 - The 20-kg crate is subjected to a force having a...Ch. 14.3 - If the relation between the force and deflection...
Ch. 14.3 - If it is originally at rest, determine the...Ch. 14.3 - If it is originally at rest, determine the...Ch. 14.3 - Determine the required height h of the roller...Ch. 14.3 - How far will the truck skid if it is traveling 80...Ch. 14.3 - Show that this is so, by considering the 10-kg...Ch. 14.3 - A force of F = 250 N is applied to the end at B....Ch. 14.3 - If the block has a mass of 20 kg and is suspended...Ch. 14.3 - Determine how far the block must slide before its...Ch. 14.3 - If the 6-kg collar is orginally at rest, determine...Ch. 14.3 - Select the proper value of k so that the maximum...Ch. 14.3 - Determine the speed of the brick just before it...Ch. 14.3 - Determine the speed of block A after it moves 5 ft...Ch. 14.3 - If the kinetic coefficient of friction between the...Ch. 14.3 - Determine the angle at which the box leaves the...Ch. 14.3 - If the cord is subjected to a constant force of F=...Ch. 14.3 - Determine the maximum distance A will fall before...Ch. 14.3 - If the cord is subjected to a constant force of F=...Ch. 14.3 - The barrier stopping force is measured versus the...Ch. 14.3 - The coefficient of kinetic friction between both...Ch. 14.3 - If the coefficient of kinetic friction between the...Ch. 14.3 - The 8-Kg block is moving with an initial speed of...Ch. 14.3 - At a given instant the 10-lb block A is moving...Ch. 14.3 - The 5-lb cylinder is falling from A with a speed...Ch. 14.3 - The propelling action is obtained by drawing the...Ch. 14.3 - By design the car cannot fall off the track,...Ch. 14.3 - If the coefficient of kinetic friction along AB is...Ch. 14.3 - Prob. 29PCh. 14.3 - If the can is prevented from moving, determine the...Ch. 14.3 - Determine the placement R of the can from the end...Ch. 14.3 - If it starts from rest when the attached spring is...Ch. 14.3 - Neglect the size of the block.Ch. 14.3 - As shown, the spring is confined by the plate P...Ch. 14.3 - Determine his speed when he reaches point B on the...Ch. 14.3 - As shown, it is confined by the plate and wall...Ch. 14.3 - If the track is to be designed so that the...Ch. 14.3 - Neglect friction.Ch. 14.3 - Neglect friction and the size of the pulley.Ch. 14.3 - Neglect friction and the size of the pulley.Ch. 14.3 - An elastic cord having a stiffness k = 2 lb/ft is...Ch. 14.4 - In initially, the block is at rest.Ch. 14.4 - When s = 0, the 20-kg block is moving at v = 1...Ch. 14.4 - The load weighs 100 lb and the efficiency of the...Ch. 14.4 - If the block is traveling up the inclined plane...Ch. 14.4 - determine the power input to the motor, which...Ch. 14.4 - which is increasing at a rate of aP = 6 m/s2....Ch. 14.4 - Assuming the wheels do not slip on the ground,...Ch. 14.4 - Determine the power Input for a motor necessary to...Ch. 14.4 - If mechanical friction and wind resistance are...Ch. 14.4 - manufactures a turbojet engine that is placed in a...Ch. 14.4 - If the car is brought to a stop, determine how...Ch. 14.4 - If the steps are 125 mm high and 250 mm in length,...Ch. 14.4 - Determine the power generated. How long would a...Ch. 14.4 - Determine the maximum power that must be supplied...Ch. 14.4 - The cable is tied to the top of the oil rig, wraps...Ch. 14.4 - The motor has an efficiency of = 0.65.Ch. 14.4 - The 50-lb crate is given a speed of 10ft/s in t =...Ch. 14.4 - The engine has a running efficiency = 0.68.Ch. 14.4 - If the drag resistance on the car due to the wind...Ch. 14.4 - Hoisting is provided by the motor M and the 60-kg...Ch. 14.4 - If the rod is smooth, determine the power...Ch. 14.4 - Determine the power developed by the power...Ch. 14.4 - A force F = (40 + s2) lb, where sis in ft, acts on...Ch. 14.4 - If the steps are 125 mm high and 250 mm in length,...Ch. 14.4 - If the escalator in Prob.14-46 is not moving,...Ch. 14.4 - Neglect drag and rolling resistance, and the loss...Ch. 14.4 - Also, the velocity of the athletes arm acting in...Ch. 14.4 - Prob. 63PCh. 14.4 - If the motor draws in the cable at a constant rate...Ch. 14.5 - If a force F = (60t2) N, where t is in seconds, is...Ch. 14.5 - Determine the potential energy of the block that...Ch. 14.5 - Determine the potential energy in the spring that...Ch. 14.5 - The 2-kg pendulum bob is released from rest when...Ch. 14.5 - The 2-kg package leaves the conveyor belt at A...Ch. 14.5 - The 2-kg collar is given a downward velocity of 4...Ch. 14.5 - Determine the speed of the collar when it strikes...Ch. 14.5 - Determine the compression of each spring when the...Ch. 14.5 - If the guide rod is smooth, determine the speed of...Ch. 14.5 - If she is swinging to a maximum height defined by ...Ch. 14.5 - If it is then released, determine the maximum...Ch. 14.5 - Determine the speed of the collar when it reaches...Ch. 14.5 - Determine its speed when its center reaches point...Ch. 14.5 - If it is released from rest when = 0, determine...Ch. 14.5 - If the car is released from rest, determine its...Ch. 14.5 - Prob. 72PCh. 14.5 - If it is released from rest at the top of the hill...Ch. 14.5 - Determine the speed of each block when B descends...Ch. 14.5 - Determine the distance B must descend in order for...Ch. 14.5 - The spring has a stiffness k =50 N/m and an...Ch. 14.5 - Neglect friction.Ch. 14.5 - If it is attached to the 3-kg smooth collar and...Ch. 14.5 - Prob. 79PCh. 14.5 - If the arm is pulled back such that s = 100 mm and...Ch. 14.5 - If the arm is pulled back such that s = 100 mm and...Ch. 14.5 - For the calculation, locate the datum at r . Also,...Ch. 14.5 - Prob. 83PCh. 14.5 - The spring has an unstretched length of 1 m.Ch. 14.5 - A 60-kg satellite travels in free flight along an...Ch. 14.5 - If friction and air resistance can be neglected,...Ch. 14.5 - If the mass of the bumpers A and B can be...Ch. 14.5 - If the collar moves over the smooth rod, determine...Ch. 14.5 - When the 6-kg box reaches point A it has a speed...Ch. 14.5 - Determine the normal force the box exerts on the...Ch. 14.5 - Determine how high the box reaches up the surface...Ch. 14.5 - Determine the cars velocity and the normal force...Ch. 14.5 - The 10-kg sphere C is released from rest when =...Ch. 14.5 - If the chain is released from rest from the...Ch. 14.5 - Each spring has a stiffness k = 40 N/m and an...Ch. 14.5 - Prob. 96PCh. 14.5 - Initially each spring has a tension of 50 NCh. 14.5 - Determine the approximate normal force it exerts...Ch. 14.5 - If a 150-lb crate is released from rest at A,...Ch. 14.5 - During the motion, the collar is acted upon by a...Ch. 14.5 - Determine the speed at which it slides off at B....Ch. 14.5 - If the block starts from rest when the attached...Ch. 14.5 - Prob. 5RPCh. 14.5 - The motor has an efficiency of = 0.76.Ch. 14.5 - If the collar is released from rest at A and...Ch. 14.5 - respectively. They are connected together by a...
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