DESIGN OF MACHINERY
6th Edition
ISBN: 9781260113310
Author: Norton
Publisher: RENT MCG
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Chapter 4, Problem 4.66P
Figure P4-20 shows a cut-away view of a
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Analytically position the links for the shearing mech anism in the configuration shown in Figure P4.7. Then reposition the links as the 0.75-in. crank is rotated 100 deg clockwise. Determine the resulting dis placement of the blade.
Problem 2 The linkage in Figure P7-5b has o4A = o2A = 0.75, AB = 1.5, and AC = 1.2 in. The effective crank angle in the position shown is 77° and angle BAC = 30°. Find a3, AA, AB, Ac for the position shown for w2 = 15 rad/sec and a2 = 10 rad/sec^2 in the directions shown using an analytic method. (Hint: Create an effective linkage for the position shown and analyze it as a pin-jointed fourbar.)
the linkage has a parallelogram form Assume rolling contact
For the walking-beam mechanism of Figure P4-9, calculate and plot the xand y components of the position of the coupler point P for one complete revolution of the crank O2A. Hint: Calculate them first with respect to the ground link O204 and then transform them into the global XY coordinate system (i.e., horizontal and vertical in the figure). Scale the figure for any additional information needed
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 linkage in Figure P7-5b has 04A = O2A = 0.75 , AB = 1.5 , and AC = 1.2 in . The effective crank angle in the position shown is 77º and angle BAC = 30 ° . Find a3 , AA , AB , Ac for the position shown for m2 = 15 rad / sec and a2 = 10 rad / sec2 in the directions shown using an analytical method . ( Hint : Create an effective linkage for the position shown and analyze it as a pin - jointed fourbar . ) the linkage has a parallelogram form Assume rolling contact C 02 A 3 . B 02 02 Tarrow_forwardFor the mechanism shown in Figure P3.13 (a) Draw the velocity polygon (1 in = 10 in/sec) (b) Specify velocity of points: B, C, D Specify angular velocity of links: 3, 4arrow_forwardDetermine the degrees of freedom by constructing the mechanisms belonging to the given kinematic chain.arrow_forward
- Displacement Diagrams—Analytical For the compressor mechanism shown in FigureP3.5, analytically create a displacement diagram for the position of the piston as the crank rotates a full revolution counterclockwise.arrow_forwardPls help me with my plates Block 4 slides in the slot in the fixed piece 1. Axis Q2 of crank 2 is fixed on 1. Q2A = 1.5 inches, and AB = 4.5 inches. Draw the mechanism, assuming dimensions for 1, if desired or use center lines only. Draw the four-bar linkage for this mechanism, properly rotate the linkage Q2ABQ4∞, name each link, and show the finite infinite cranks.arrow_forwardGiven: AB = 0.1 m , CB = 0.4 m, CD = 0.6 m, AD = 0.8 m For the linkage shown below, CD moves back and forth spinning flywheel AB, link CD is the input link. a.) Find the maximum angle in degrees, that is the angle between the extreme positions by the link CD when the circle AB rotates 360 degrees? b.) Why is the wheel able to rotate fully and not get locked up when CD and AB are inline (collinear)? Where's a real life example where this mechanism may be used?arrow_forward
- 3.16 [15] Assign link frames to the RPR planar robot shown in Fig. 3.36, and give thelinkage parameters.arrow_forwardFigure p3-31 the only problem I want to solarrow_forwardDraw the Kinematic Diagram of the following Mechanism (label the links andjoints). Then, calculate their Degree of Freedom.arrow_forward
- The kinematic scheme of the mechanism is given. Point C is the center of curvature of the link 3 at the point of the contact. Link 2 is with circular shape with center point B. Find the degrees of freedom.arrow_forwardBlock 4 slides in the slot in the fixed piece 1. Axis Q2 of crank 2 is fixed on 1. Q2A = 1.5 inches, and AB = 4.5 inches. Draw the mechanism, assuming dimensions for 1, if desired or use center lines only. Draw the four-bar linkage for this mechanism, properly rotate the linkage Q2ABQ4∞, name each link, and show the finite infinite cranks.arrow_forwardConsider the 2-position design problem depicted below. The mechanism is GRCR. The linklengths and the positions of anchor points O1 and O2 are provided.a. Do any toggle positions exist between configurations CD and C’D’ that would prevent themechanism from completing the motion? If so, at what angle(s) of θ do they occur?b. Find new values for the coordinates (X,Y) of O2 that would enable the mechanism to bedriven by a driver dyad attached to link O1C, e.g., point B.c. What are the coordinates (X,Y) of O2 closest to the origin for which the mechanism canstill be driven by a driver dyad attached to link O1C, e.g., point B, as in part b?arrow_forward
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