DESIGN OF MACHINERY
6th Edition
ISBN: 9781260113310
Author: Norton
Publisher: RENT MCG
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Chapter 2, Problem 2.29P
Figure P2-10 shows Watt’s sun and planet drive that he used in his steam engine. The beam 2 is driven in oscillation by the piston of the engine. The planet gear is fixed rigidly to link 3 and its center is guided in the fixed track 1. The output rotation is taken from the sun gear 4. Sketch a kinematic diagram of this
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Problem 4:
A four bar linkage is shown below with crank Q2A, 1 foot long and crank 2 rotates clockwise with an instantaneous angular velocity of 152.79 rpm. The rest of the members are drawn to scale.
Solve for the Velocity of point A and find the velocities of B, C, D, E and F using RESOLUTION AND COMPOSITION METHOD only!
Ks = 1 inch : 1 foot Kv = 1 inch : 16 fps
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
The 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…
Chapter 2 Solutions
DESIGN OF MACHINERY
Ch. 2 - Find three (or other number as assigned) of the...Ch. 2 - How many DOF do you have in your wrist and hand...Ch. 2 - How many DOF do the following joints have? Your...Ch. 2 - How many DOF do the following have in their normal...Ch. 2 - Are the joints in Problem 2-3 force closed or form...Ch. 2 - Describe the motion of the following items as pure...Ch. 2 - Calculate the mobility of the linkages assigned...Ch. 2 - Identify the items in Figure P2-1 as mechanisms,...Ch. 2 - Use linkage transformation on the linkage of...Ch. 2 - Prob. 2.10P
Ch. 2 - Use number synthesis to find all the possible link...Ch. 2 - Prob. 2.12PCh. 2 - Use linkage transformation to create a 1-DOF...Ch. 2 - Use linkage transformation to create a 1-DOF...Ch. 2 - Calculate the Grashof condition of the fourbar...Ch. 2 - Prob. 2.16PCh. 2 - Describe the difference between a cam-follower...Ch. 2 - Examine an automobile hood hinge mechanism of the...Ch. 2 - Find an adjustable arm desk lamp of the type shown...Ch. 2 - The torque-speed curve for a 1/8 hp permanent...Ch. 2 - Find the mobility of the mechanisms in Figure...Ch. 2 - Find the Grashof condition and Barker...Ch. 2 - Find the rotatability of each loop of the...Ch. 2 - Find the mobility of the mechanisms in Figure...Ch. 2 - Find the mobility of the ice tongs in Figure P2-6:...Ch. 2 - Prob. 2.26PCh. 2 - Prob. 2.27PCh. 2 - Find the mobility of the corkscrew in Figure P2-9.Ch. 2 - Figure P2-10 shows Watts sun and planet drive that...Ch. 2 - Figure P2-11 shows a bicycle handbrake lever...Ch. 2 - Figure P2-12 shows a bicycle brake caliper...Ch. 2 - Find the mobility, the Grashof condition, and the...Ch. 2 - The approximate torque-speed curve and its...Ch. 2 - Prob. 2.34PCh. 2 - Prob. 2.35PCh. 2 - Sketch the equivalent linkage for the cam and...Ch. 2 - Describe the motion of the following rides,...Ch. 2 - For the mechanism in Figure P2-1 a, number the...Ch. 2 - Repeat Problem 2-38 for Figure P2-1b.Ch. 2 - Repeat Problem 2-38 for Figure P2-1c.Ch. 2 - Prob. 2.41PCh. 2 - Find the mobility, the Grashof condition, and the...Ch. 2 - Find the mobility, the Grashof condition, and the...Ch. 2 - Figure P2-20 shows a Rube Goldberg mechanism that...Ch. 2 - All the eightbar linkages in Figure 2-11 part 2...Ch. 2 - Prob. 2.46PCh. 2 - Prob. 2.47PCh. 2 - Find the mobility of the mechanism shown in Figure...Ch. 2 - Find the mobility of the mechanism shown in Figure...Ch. 2 - Find the mobility of the mechanism shown in Figure...Ch. 2 - Find the mobility of the mechanism shown in Figure...Ch. 2 - Prob. 2.52PCh. 2 - Prob. 2.53PCh. 2 - Repeat Problem 2-38 for Figure P2-1f.Ch. 2 - Repeat Problem 2-38 for Figure P2-1g.Ch. 2 - For the example linkage shown in Figure 2-4 find...Ch. 2 - For the linkage shown in Figure 2-5b find the...Ch. 2 - Prob. 2.58PCh. 2 - Figure P2-21b shows a mechanism. Find its mobility...Ch. 2 - Prob. 2.60PCh. 2 - Figure P2-21 d shows a log transporter. Draw a...Ch. 2 - Figure P2-21e shows a plow mechanism attached to a...Ch. 2 - Figure P2-22 shows a Hart inversor sixbar linkage....Ch. 2 - Figure P2-23 shows the top view of the partially...Ch. 2 - Figure P2-24a shows the seat and seat-back of a...Ch. 2 - Figure P2-24b shows the mechanism used to extend...Ch. 2 - Figure P2-24b shows the mechanism used to extend...Ch. 2 - Figure P2-25 shows a sixbar linkage. Is it a Watt...Ch. 2 - Use number synthesis o find all the possible link...Ch. 2 - Use number synthesis to find all the possible link...Ch. 2 - Prob. 2.71PCh. 2 - For the mechanism in Figure P2-26, number the...Ch. 2 - Figure P2-27 shows a schematic of an exercise...Ch. 2 - Calculate the mobility of the linkage in Figure...Ch. 2 - Calculate the Grashof condition of the fourbar...Ch. 2 - The drum brake mechanism in Figure P2-4g is a...
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- 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_forwardFigure P-1134 represents a schematic diagram of a Porter governor. Eachflyball weighs 16.1 lb and central weight D is 40 lb. Determine the rotationalspeed in rpm about the vertical axis AD at which the weight D begins to rise.arrow_forwardThe 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_forward
- A 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 e1 = 0, 02 = 60°, and 04 = 119°. The angular velocity of link2 w2 = 10 rad/s CCW. L4 2 = 60° Ao B. O, = 0° Figure 5.32 Problems 5.3 and 5.4 The angular velocities of link 3 wz and and link 4 wa are: Select one: O a. w3 = 5.29rad/s CW, w4 = 6.14 rad/s CW O b. w3 = 3.94 rad/s CCW, W4 = 4.8 rad/s CCW O c. W3 = 3.94 rad/s CCW, wa = 6.14 rad/s CCW %3D O d. w3 = 5.29 rad/s CW, w4 = 4.80 rad/s CCW %3D %3Darrow_forwardDraw the kinematic diagram of the following mechanismarrow_forwardA series of three links is given with lengths of 2.4 ", 7.2" and 3.4 ", select the length of a fourth link, that when assembling the mechanism one of the links can be driven by a motor that rotates continuously. Mechanism is according to Grashoff, show all your operations to justify your resultsarrow_forward
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Ch 2 - 2.2.2 Forced Undamped Oscillation; Author: Benjamin Drew;https://www.youtube.com/watch?v=6Tb7Rx-bCWE;License: Standard youtube license