DESIGN OF MACHINERY
6th Edition
ISBN: 9781260113310
Author: Norton
Publisher: RENT MCG
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Textbook Question
Chapter 4, Problem 4.51P
Figure 3-29g shows Evan’s approximate straight-line linkage #2. Determine the range of motion of link 2 for which point P varies no more than 0.005 from the straight line
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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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- Define and show on the figure the necessary vectors and their angles for second mechanism and construct the corresponding vector-loop equation(s). please draw the vectors and angles and visually show them on mechanism you can name the angles theta1, theta2 etc. it should be looking exactly like the example( first mechanism).arrow_forward1-draw velocity vectors showing the motion of points Band C.2-Label The IC of Velcoity, If it does not exsist mention why 3- What type of motion is each link experiencing at this instant? Rotation about afixed axis, Pure Translation, or General Planar motion? and why (justify your answer )arrow_forwardThe length of link DC is LDC = 0.5m and the length of link CB is LCB = 1.7m . Link CD is rotating with an angular velocity of ωDC = 5rad/s. Points D and O are fixed. 1-Find the Angular Veclocity of CB 2- what steps would you take to find the acceleration ofpoint A? Write out the equations you would use symbolically (letters, not numbers). Whatadditional information would you need? No Need to calculate it 3- What is the velocity of point B inm/s?arrow_forward
- 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.arrow_forwardInput crank AB of the mechanism described above is currently at 60 degrees and is rotating CCW with a speed of 2 rad/sec, while accelerating with 2 rad/sec2.What is the tangential component of acceleration of point C with respect to B and its direction?arrow_forwardA general pinjointed fourbar linkage is shown in the figure below. It has the followings: The link lengths are L1 = 8.50 in., L2 = 3.00 in., L3 = 5.00 in. and L4 = 4.50 in. The values of θ1 = 0, θ2 = 60°, and θ4 = 119°. The angular velocity of link2 ω2 = 10 rad/s CCW. The angular velocities of link 3 ω3 and and link 4 ω4 are: Select one: a. ω3 = 5.29 rad/s CW, ω4 = 4.80 rad/s CCW b. ω3 = 5.29rad/s CW, ω4 = 6.14 rad/s CW c. ω3 = 3.94 rad/s CCW, ω4 = 4.8 rad/s CCW d. ω3 = 3.94 rad/s CCW, ω4 = 6.14 rad/s CCWarrow_forward
- Refer 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_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_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
- Find the velocity and acceleration of point B for the linkage shown in the figure if VA= 1 ft/s. (Using Complex Algebraic approach do the Position Analysis; Velocity Analysis and Acceleration Analysis then solve the problem please)arrow_forwardProblem 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 contactarrow_forwardFor 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 neededarrow_forward
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