DESIGN OF MACHINERY
6th Edition
ISBN: 9781260113310
Author: Norton
Publisher: RENT MCG
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Textbook Question
Chapter 4, Problem 4.20P
Figure P4-7 shows a power hacksaw, used to cut metal. Link 5 pivots at
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QUESTION 6
Select the type of this mechanism below:
L2
02
L3
А
L1
C
L4
O Crank-rocker
O Triple rocker
O Crank-crank
O Slider-crank
Refer to the figure below for the mechanism. If link 2 rotates at a speed of 60 revolutions per minute in a counterclockwise direction , find the velocity, using resolution and composition method of:
A point connecting link 2 to link 3
A point at the center of link 2
A point at the center of link 3
Of the slider
Also, locate all the instantaneous centers.
PROBLEM STATEMENT:
Draw the 3D version of the given figure below using Solidworks. At that instant shown
below, Q₂F 15 inch, Q4B = 14 inch, Q4D = 6 inch, Q4E = 15 inch, Q2 Q4 15 inch. The
crank Q4D is rotating uniformly counterclockwise at 150 rpm. Find the absolute
instantaneous linear velocity in fps of point F and E and the absolute instantaneous
angular velocity in rpm of the variable length crank Q₂F using your chosen method (1, 2
and 3) and Method 4.
Variable:
Ꮎ
6
0
Q2
5 B
30
F
Q4
3
PE
-
1
Chapter 4 Solutions
DESIGN OF MACHINERY
Ch. 4 - A position vector is defined as having a length...Ch. 4 - A particle is traveling along an arc of 6.5-in...Ch. 4 - Repeat problem 4-2 considering points A and B to...Ch. 4 - Repeat Problem 4-2 with the particles path defined...Ch. 4 - Repeat Problem 4-3 with the path of the particle...Ch. 4 - The link lengths and the value of 2 for some...Ch. 4 - Repeat Problem 4-6 except solve by the vector loop...Ch. 4 - Expand equation 4.7b and prove that it reduces to...Ch. 4 - The link lengths and the value of 2 and offset for...Ch. 4 - Repeat Problem 4-9 except solve by the vector loop...
Ch. 4 - The link lengths and the value of 2 and for some...Ch. 4 - Repeat Problem 4-11 except solve by the vector...Ch. 4 - Find the transmission angles of the linkages in...Ch. 4 - Find the minimum and maximum values of the...Ch. 4 - Find the input angles corresponding to the toggle...Ch. 4 - The link lengths. gear ratio (). phase angle (),...Ch. 4 - Repeat Problem 4-16 except solve by the vector...Ch. 4 - Figure P4-5 shows the mechanisms for the following...Ch. 4 - For one revolution of driving link 2 of the...Ch. 4 - Figure P4-7 shows a power hacksaw, used to cut...Ch. 4 - For the linkage in Figure P4-8, find its limit...Ch. 4 - For the walking-beam mechanism of Figure P4-9,...Ch. 4 - For the linkage in Figure P4-10, calculate and...Ch. 4 - For the linkage in Figure P4-11, calculate and...Ch. 4 - For the linkage in Figure P4-12, find its limit...Ch. 4 - Prob. 4.26PCh. 4 - For the linkage in Figure P4-13, find its limit...Ch. 4 - Prob. 4.28PCh. 4 - For the linkage in Figure P4-15, find its limit...Ch. 4 - For the linkage in Figure P4-15, find its limit...Ch. 4 - Prob. 4.31PCh. 4 - Prob. 4.32PCh. 4 - Figure 4-22 plots the cubic function from equation...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - Prob. 4.35PCh. 4 - Prob. 4.36PCh. 4 - Write a computer program or use an equation solver...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - Prob. 4.39PCh. 4 - Prob. 4.40PCh. 4 - Write a computer program or use an equation solver...Ch. 4 - Prob. 4.42PCh. 4 - Prob. 4.43PCh. 4 - Prob. 4.44PCh. 4 - Model the linkage shown in Figure 3-37a in...Ch. 4 - Prob. 4.46PCh. 4 - Prob. 4.47PCh. 4 - Prob. 4.48PCh. 4 - Prob. 4.49PCh. 4 - Prob. 4.50PCh. 4 - Figure 3-29g shows Evans approximate straight-line...Ch. 4 - For the linkage in Figure P4-16, what are the...Ch. 4 - The coordinates of the point P1 on link 4 in...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - For the linkage in Figure P4-17, calculate the...Ch. 4 - Prob. 4.56PCh. 4 - Prob. 4.57PCh. 4 - The elliptical trammel in Figure P4-18 must be...Ch. 4 - Prob. 4.59PCh. 4 - Prob. 4.60PCh. 4 - Repeat Problem 4-60 except solve by the vector...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - Figure P4-20 shows a cut-away view of a mechanism...Ch. 4 - For the linkage in Figure 3-32a, calculate and...
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- The lengths of various links of a mechanism, as shown in Figure 2, are: OA = 0.3 m; AB = 1 m; CD = 0.8 m; and AC = CB. 45° Figure 2: Slider cranck mechanism Draw the displacemt diagram to a scale. Determine the velocity of piston B if the crank OA rotates at 160 r.p.m in the clockwise direction. Calculate the velocity of point C.arrow_forwardRefer to the figure below for the mechanism.If link 2 rotates at a speed of 60 revolutions per minute, find the velocity, using resolution and composition method of: A point connecting link 2 to link 3 A point at the center of link 2 A point at the center of link 3 Of the slider Also, locate all the instantaneous centers. Use counterclockwise direction.arrow_forwardAt the instant shown in Figure 1, determine by Graphical Method: a) Velocity and Acceleration of point 'B' b) Velocity and Acceleration of point 'D' C) Angular Acceleration of Link 6 (DO6) Note: Your working must be hand drawn Do 0,4 = 51 mm AB = 102 mm AC = 203 mm BD = 102 mm B O,D= 102 mm 3 45° 0,0, = 102 mm o, = 1 rad/s 1arrow_forward
- The figure below represents a Whitworth quick-return mechanism which is used in shapers. It is required that the tool holder (link 6) maintain a nearly constant velocity during the cutting stroke but accelerates on the return stroke in order to reduce idle time. The inputs are: VA2=8m/s, a2=0. Find the following: a) The angular velocity m4 b) The magnitude of the sliding velocity and acceleration of A c) Angular acceleration a4 d) Find the acceleration of A via link 2 e) Find the acceleration of A using the angular velocity and acceleration along with the Coriolis effect and the acceleration along the axis of slip (via link 4) f) Find the acceleration of the tool holder (C). 2 (VA2 = 6 m/sec 02 4 B * 45° 0,04 0,A = 19.1 cm 0,B = 10.2 cm 35.6 cm 8.9 cm 04 BCarrow_forwardFind the velocity of point B and angular velocity in link 3 using relative analysis and polygon method. Note the drawing is not in scale. B 02 @2=1 rad/s 2 30° A 1 3 4 04 02A=4" AB=7" 0204-=9" 04B=8"arrow_forwardThe speed of Crank Q2A is 71.62 rpm counter-clockwise. Q2A is 2 ft long and the rest of the members are drawn to scale as shown in the figure. Solve for the velocity of point A and find the velocity of point B, C, D, E, F and G in fps using the INSTANTANEOUS AXIS OF ROTATION ONLY!. Ks = 1 inch : 1 foot Kv = 1 inch : 10 fpsarrow_forward
- Rod AO in the stone crusher mechanism shown in Figure Q5 is rotating counter clockwise at a constant 750 rpm. At the position and instant shown in Figure Q5 determine: 3) The angular velocity of link PB 4) The absolute velocity of point C 5) The angular velocity of block containing point C OA = 90 mm; AB = 860 mm; PB = BC = QC = 500 mm The diagram is reproduced to scale but not necessarily 1:1 1000 mm 600 mm 40 500 mm 500 mm B.arrow_forwardShow how you would find the velocity of each point (no values given just the equation) for an overlapping/superimpose 4 bar linkage. Find the equation for 60 degree.arrow_forwardThe linkage Q₂BCDEQ₄KF represents the mechanism of the Corliss non-releasing valve gear. Q₂B is a crank 3⅛- inches long oscillating to the right of fixed center Q₂. Q₂C is another crank which is 3⅜-inches long and oscillates below Q₂. Q₄ is a fixed center on a horizontal line through Q₂ and 6 -inches to right of Q₂. EQ₄K to right of Q₄E. Q₄E = 3⅝- inches and Q₄K = 5 -inches. CE is a connecting rod 3½-inches long. BD is a link 2 - inches long connecting B to link CE at D, 1 -inch. from C. KF is a connecting link 8- inches long extending to right of K and is attached to a slide block at F which moves on a horizontal line parallel to and 3-inches below Q₂Q₄. When F, moving to left, reaches a position such that K is to the left of Q₄, and Q₄K makes an angle of 15º to left of vertical, it has a velocity of 5 fps. 1.1 Draw and label the mechanism of the Corliss non-releasing valve gear. 1.2 Find the velocity K in feet per second 1.3 Find the velocity of E in feet per second 1.4 Find the…arrow_forward
- solve using analytical way Given a single disk system that rotates as in picture. If: m₁ = 10 kg; R₁ = 15 cm; θ1=30°, m₂ = 15 kg; R₂ = 20 cm; θ₂ = 100°, m3 = 10 kg; R3 = 10 cm; θ3= 160° and Re= 12,5 cm, calculated "me" and "θe"arrow_forwardThe angular velocity of the member A of the mechanism in Figure P8-196 is 2.0 rad/s clockwise. Calculate the velocities cities of points P and Q.arrow_forward1. Kinematics Review: For the linkage shown below, find the asc and aco at the instant shown if aAB is 2.5 rad/s counter clockwise. 250 mm OAR = 5.5 rad/s 40° B 300 mm 400 mm 70° D.arrow_forward
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