DESIGN OF MACHINERY
6th Edition
ISBN: 9781260113310
Author: Norton
Publisher: RENT MCG
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Chapter 3, Problem 3.29P
To determine
To find: cognates of the Watt straight-line
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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.
A
upuu
45°
Figure 2: Slider cranck mechanism
Calculate the velocity of point C.
Given a slider-crank linkage with link lengths of L = 35.0 mm, L = 48.0 mm, L = 185 mm, 6) =
270, and O =0. Also, Lat= 150 mm, Lp = 72.0 mm, and o = 50.6 counter clockwise. For the current
position of 8 = 135 , the angle e and the length La are -21.9 and 137.7 mm as shown in Figure Q3.
!!
Determine the location of coupler point, P, relative to the origin at bearing A.
2/4
440-270
Figure Q3
Figure 3 shows a quick return mechanism, which consists of a crank AB, a slider block B and
a slotted link CD.
(Given wAR = 3.5 rad s'', asn = 6 rad s², ocD= 4.5 rad s' a = 0.15 m, l= 0.35 m, 0 = 35° and
- 35°.)
(a)
Determine the velocity of the slider block B.
(b)
Determine the angular acceleration of link CD (acD).
AB
Figure 3: Quick return mechanism
Chapter 3 Solutions
DESIGN OF MACHINERY
Ch. 3 - Define the following examples as path, motion, or...Ch. 3 - Design a fourbar Grashof crank-rocker for 90 of...Ch. 3 - Prob. 3.3PCh. 3 - Design a fourbar mechanism to give the two...Ch. 3 - Prob. 3.5PCh. 3 - Prob. 3.6PCh. 3 - Repeat Problem 3-2 with a quick-return time ratio...Ch. 3 - Design a sixbar drag link quick-return linkage for...Ch. 3 - Design a crank-shaper quick-return mechanism for a...Ch. 3 - Find the two cognates of the linkage in Figure...
Ch. 3 - Find the three equivalent geared fivebar linkages...Ch. 3 - Design a sixbar single-dwell linkage for a dwell...Ch. 3 - Design a sixbar double-dwell linkage for a dwell...Ch. 3 - Figure P3-3 shows a treadle-operated grinding...Ch. 3 - Figure P3-4 shows a non-Grashof fourbar linkage...Ch. 3 - Prob. 3.16PCh. 3 - Prob. 3.17PCh. 3 - Prob. 3.18PCh. 3 - Design a pin-jointed linkage that will guide the...Ch. 3 - Figure P3-6 shows a V-link off-loading mechanism...Ch. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - Figure P3-8 shows a fourbar linkage used in a...Ch. 3 - Prob. 3.24PCh. 3 - Prob. 3.25PCh. 3 - Prob. 3.26PCh. 3 - Prob. 3.27PCh. 3 - Prob. 3.28PCh. 3 - Prob. 3.29PCh. 3 - Prob. 3.30PCh. 3 - Design a Hoeken straight-line linkage to give...Ch. 3 - Design a Hoeken straight-line linkage to give...Ch. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 3 - Prob. 3.35PCh. 3 - Find the Grashof condition, inversion, any limit...Ch. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - Prob. 3.39PCh. 3 - Draw the Roberts diagram and find the cognates of...Ch. 3 - Prob. 3.41PCh. 3 - Find the Grashof condition, any limit positions,...Ch. 3 - Prob. 3.43PCh. 3 - Prob. 3.44PCh. 3 - Prob. 3.45PCh. 3 - Prob. 3.46PCh. 3 - Prob. 3.47PCh. 3 - Prob. 3.48PCh. 3 - Prob. 3.49PCh. 3 - Prob. 3.50PCh. 3 - Prob. 3.51PCh. 3 - Prob. 3.52PCh. 3 - Prob. 3.53PCh. 3 - Prob. 3.54PCh. 3 - Prob. 3.55PCh. 3 - Prob. 3.56PCh. 3 - Prob. 3.57PCh. 3 - Prob. 3.58PCh. 3 - Prob. 3.59PCh. 3 - Prob. 3.60PCh. 3 - Prob. 3.61PCh. 3 - Prob. 3.62PCh. 3 - Prob. 3.63PCh. 3 - Prob. 3.64PCh. 3 - Prob. 3.65PCh. 3 - Prob. 3.66PCh. 3 - Design a fourbar Grashof crank-rocker for 120 of...Ch. 3 - Prob. 3.68PCh. 3 - Design a fourbar Grashof crank-rocker for 80 of...Ch. 3 - Design a sixbar drag link quick-return linkage for...Ch. 3 - Design a crank shaper quick-return mechanism for a...Ch. 3 - Design a sixbar, single-dwell linkage for a dwell...Ch. 3 - Design a sixbar, single-dwell linkage for a dwell...Ch. 3 - Prob. 3.74PCh. 3 - Using the method of Example 3-11, show that the...Ch. 3 - Prob. 3.76PCh. 3 - Prob. 3.77PCh. 3 - Prob. 3.78PCh. 3 - The first set of 10 coupler curves on page 1 of...Ch. 3 - Prob. 3.80PCh. 3 - Prob. 3.81PCh. 3 - Prob. 3.82PCh. 3 - Prob. 3.83PCh. 3 - Prob. 3.84PCh. 3 - Prob. 3.85PCh. 3 - Prob. 3.86PCh. 3 - Prob. 3.87PCh. 3 - The side view of the upper section of a...Ch. 3 - Design a fourbar mechanism to give the three...Ch. 3 - Design a fourbar mechanism to give the three...Ch. 3 - Design a fourbar Grashof crank-rocker for 60...Ch. 3 - Design a crank-shaper quick-return mechanism for a...Ch. 3 - Figure P3-22 shows a non-Grashof fourbar linkage...Ch. 3 - Prob. 3.94PCh. 3 - Design a fourbar Grashof crank-rocker for 80...Ch. 3 - Design a sixbar drag link quick-return linkage for...
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- By finding all the sudden rotation centers of the mechanism given in Figure 1 belowExplain by marking it SPECIFICALLY.arrow_forwardStudy the double slider crank mechanism in figure A: (a) Using Aronhold Kennedy Theory formula, find the number of Instantaneous Centers (b) Using a tabular method, list all instantaneous centers (c) Base on the figure A, locate all the instantaneous centers. (Use solidworks to show the solution or a drawing solution.)arrow_forwardYou are given a set of three links with lengths 2.4 in, 7.2 in, and 3.4 in. Select the length of a fourth link and assemble a linkage that can be driven by a continuous-rotation motor. Is your linkage a Grashof class I or nonGrashof class2 linkage? (Show your work.) Is it a crank-rocker, double- rocker, or double-crank linkage? Why?arrow_forward
- 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. A upuu 45° Figure 2: Slider cranck mechanism Draw the displacemt diagram to a scale.arrow_forwardDraw the kinematic diagram of the following mechanism by labelling the links and the joints and calculate its mobility / DOF.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
- Problem 4-15h Find the input angles (02) corresponding to the toggle positions of a non-Grashof double- rocker linkage with link lengths (a, b, c, d) of 10, 10, 10, 20, respectively.arrow_forwardProblem 2 The linkage in Figure P7-5b has O,A = 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, A4, AB,Ac for the position shown for @2 = 15 rad/sec and a2 = 10 rad/sec 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 @2 A 3 В a2 2 4 04arrow_forwardFigure below shows a four-bar linkage (non-scaled diagram) at an instant. The input angle is equal to the output angle (02 - 04) and the transmission angle is 30°. The input link is extended beyond joint B and an input force (Fin) is applied at the end of it, while an output force is drawn from the midpoint of the output link. If an output force of 30 N is desired from an input force of 10 N, how far the input link should be extended, i.e., what is the distance from point B to the point where Fin is applied. Fin B out undefined 02 04 A. Non-scaled diagram; AB = 10, CD=r4 = 30 (output), all in mmarrow_forward
- 3-4 Design a fourbar mechanism to give the two positions shown in Figure P3-1 of coupler motion. (See Example 3-3, p. 105.) Build a model and determine the toggle positions and the minimum transmission angle from the model. Add a driver dyad. 2.409 2.656 B2 0.751 0.470 1.750 A2 B. 1.721 FIGURE P3-1arrow_forward= Given the crank-slider linkage shown in Figure 1 with the linkage lengths as follows: L₂= 500 mm, L32 250 mm, and L₁= 550 mm. The distance between the supports is L₁ = 500 mm. When the angles of the links are 8₂ 36.87° and 83 53.13° the rotational angle rates of the links are wz 8 rad/s and w3 = -11.8859 rad/s. If the link R, is rotating in counterclockwise (CCW) direction with a rotational acceleration of az 5 rad/s², determine the rotational acceleration of links R₂ and the acceleration of the slider R2 03 R₁ R3 isin) R4arrow_forwardThe number of degrees of freedom of the linkage shown in the figure.arrow_forward
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