DESIGN OF MACHINERY
6th Edition
ISBN: 9781260113310
Author: Norton
Publisher: RENT MCG
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Textbook Question
Chapter 2, Problem 2.56P
For the example linkage shown in Figure 2-4 find the number of links and their respective link orders, the number of joints and their respective orders, and the mobility of the linkage.
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Calculate the number of degrees of freedom of the linkage shown in the figure below.
3
2
1. Sketch kinematic diagram
2. Identify number of links, 1 dof joints, 2 dof joints, and 3 dof joints.
3.Calculate the number of degrees of freedom for each mechanism.
Please calculate the degrees of freedom only for the mechanism of the toilet tank shown in the picture
Figure 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
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02
04
A.
Non-scaled diagram; AB = 10, CD=r4 = 30 (output), all in mm
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Sketch the kinematic diagram and calculate the mobility of all the linkages (Degrees of Freedom). Are there any assumptions if any.arrow_forwardSolve itarrow_forwardDraw the kinematic diagram of the following mechanism by labelling the links and the joints and calculate its mobility / DOF.arrow_forward
- Pls i need all solve with explain the numbers that count them on his drawing plssarrow_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_forward5arrow_forward
- If the link lengths of a four-bar linkage are L1 = 1 mm, L2 = 3 mm, L3 = 4 mm,and L4 = 5 mm and link 1 is fixed, what type of four-bar linkage is it? Also, is the linkage a Grashof type 1 or 2 linkage? Answer the same questions if L1 = 2 mm.arrow_forwardFigure Q2-2 shows a schematic of a retractable landing gear of aircraft. The retraction mechanism is a 4 bar linkage (O1ABO2), which is actuated by a hydraulic cylinder and piston, D, pivoted at E with a joint at C to link O,A. Hydraulic cylinder & piston D Joint for landing gear wheel Figure Q2-2 Use the Gruebler's equation of DoF (Degrees of Freedom) of a linkage mechanism to assess if the landing gear produces the required retraction motion. 0,02 may be considered as the ground link. i) Hint: The joint of the wheel is not part of the linkage mechanism. The number of DoF may be used to check if it is a linkage with certain motions or a fixed structure. ii) The dimensions of the 4 bar linkage (O1ABO2) are measured as O102 = 800 mm, O1A = 780 mm, AB = 200 mm and O2B = 400 mm. Use Grashof condition to determine the specific type of this linkage. You may find the Gruebler's equation useful: M = 3(L – 1) – 2J where, M is degree of freedom (DoF) L is number of links J is number of jointsarrow_forwardFor every of the mechanisms draw the kinematic diagram and calculate the mobility (Degrees of Freedom). Mention your assumptions if any.arrow_forward
- For the linkages shown in Figure 7, determine the number of degrees of freedom of the mechanisms by intuition and Gruebler's equation. (a) E -Slider Figure 7. Slider F (b) E Fork Joint Sliderarrow_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_forwardIs there a two extreme position on this diagram? This diagram makes complete revolution. Also, what type of four-bar linkages this is. Measurements Fixed bar: 5 Red: 10 Green: 15 Blue: 20arrow_forward
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