DESIGN OF MACHINERY
6th Edition
ISBN: 9781260113310
Author: Norton
Publisher: RENT MCG
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Textbook Question
Chapter 2, Problem 2.31P
Figure P2-12 shows a bicycle brake caliper assembly. Sketch a kinematic diagram of this device and draw its equivalent linkage. Determine its mobility under two conditions:
- Brake pads not contacting the wheel rim.
- Brake pads contacting the wheel rim.
Hint: Consider the flexible cables to be replaced by forces in this case.
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Students have asked these similar questions
Problem 4-6a
The link lengths (a, b, c, d) and the value of 62 for a crank-rocker linkage are defined as
2, 7, 9, 6, 30°, respectively. Draw the scaled linkage. Find all possible solutions (both
open and crossed) for angles 03 and 04 graphically.
Open
B
3
A
LNCS
4
04
GCS
O4
Crossed
(This is not the scaled kinematic diagram.)
Problem 4-7a
Repeat Problem 4-6a except solve by the vector loop method.
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.
Figure 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 joints
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
- Solve the mobility of the linkage.arrow_forwardProblem 4-6a The link lengths (a, b, c, d) and the value of 2 for a crank-rocker linkage are defined as 2, 7, 9, 6, 30°, respectively. Draw the scaled linkage. Find all possible solutions (both open and crossed) for angles 03 and 04 graphically. Орen B A LNCS 4 a GCS र 4 4" Crossed (This is not the scaled kinematic diagram.) Problem 4-7a Repeat Problem 4-6a except solve by the vector loop method.arrow_forward1. Find a combination of link lengths where motion of a point on output link is one quarter of a circle. 2. Find the value of all 0, 0, 0, and y in open and close configuration Read the value of link lengths and the input angle 8., then use the formulae given below to calculate the value of unknowns 03, 0, and y K₁ = = K₂= d K2 K3 = a²-b²+c²+d² 2ac A = cos 0₂ - K₁ - K₂ cos 0₂ + K3 B = -2 sin 0₂ C = K₁ (K₂ + 1) cos 02 + K3 -B± √B²-4AC 2A 0412 = 2tan-1 d K₁ = — K5 = c²d²a²-6² 2ab D = cos 0₂ - K₁ - K4 cos 0₂ + K5 E = -2 sin 0₂ FK₁+ (K₁ - 1) cos 02 +K5 0312 2 tan-1 (-E± -E± √E²4DF 2D Y = 04-03arrow_forward
- 2. For a four bar crank rocker linkage, L1=34mm, L2-57mm, and L3=78mm. Find the actual range of values of Lo and o if the transmission angle is limited from 45° to 135°.arrow_forwardSelect one simple mechanism (4 links) and explain the following with regards to the selected mechanism. i. Kinematic pairs based on nature of contact. ii. Kinematic pairs based on nature of relative motion. iii. Degrees of freedom. iv. Possible inversions and applicationsarrow_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
- Consider the given mechanism and provide thefollowing requirements for this mechanism 1-Draw kinematic diagram2-Define the types of joints on kinematic diagram3- Draw kinematic chains4- Find the degree of freedom of the mechanismarrow_forwardShow how you would find the velocity of each point (no values given just the equation) for an overlapping/superimpose 4 bar linkage. Find the equation for 0 degree.arrow_forwardDraw the mechanism on the side schematically, determine the parameters of the links. Draw the Kinematic Chain. Determine the degree of freedom.arrow_forward
- In an open belt drive, two sheaves have diameters of 5 in. and 12 in. Determine the center distance of a drive utilizing a 72-in. belt. Also determine the angle of contact over the smaller sheave. Draw a 3d model of the mechanism.arrow_forwardwould the linkage be touching the support block because the 7+10=17 which is equal to the total length?arrow_forwardDraw the kinematic diagram of the following mechanism by labelling the links and the joints and calculate its mobility / DOF.arrow_forward
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