DESIGN OF MACHINERY
DESIGN OF MACHINERY
6th Edition
ISBN: 9781260113310
Author: Norton
Publisher: RENT MCG
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Textbook Question
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Chapter 2, Problem 2.1P

Find three (or other number as assigned) of the following common devices. Sketch careful kinematic diagrams and find their total degrees of freedom.

  1. An automobile hood hinge mechanism
  2. An automobile hatchback lift mechanism
  3. An electric can opener
  4. A folding ironing board
  5. A folding card able
  6. A folding beach chair
  7. A baby swing
  8. A folding baby walker
  9. A fancy corkscrew as shown in Figure P2-9
  10. A windshield wiper mechanism
  11. A dump truck dump mechanism
  12. A trash truck dumpster mechanism
  13. A pickup truck tailgate mechanism
  14. An automobile jack
  15. A collapsible auto radio antenna

a.

Expert Solution
Check Mark
To determine

To find:Kinematic diagrams and total DOF in an automobile hood hinge mechanism.

Explanation of Solution

Given information:

The initial conditions that are given are that of an automobile hood hinge mechanism

Calculation:

Here KutzbatchEquation is used to compute mobility (DOF) of the shown system below. An automobile mechanism systemcondition is as shown. with hood (3) is linked body (1) two rocker links (2 and 4)

  Number of links L =4 Number of full joints J1=4 Number of half joints J2=0M =3 (L 1) 2 J1 J2M =1

  DESIGN OF MACHINERY, Chapter 2, Problem 2.1P , additional homework tip  1

b.

Expert Solution
Check Mark
To determine

To find:Kinematic diagrams and total DOF inan automobile hatchback lift mechanism.

Explanation of Solution

Given information:

The initial conditions that are given are that of An automobile hatchback lift mechanism.

Calculation:

Here Kutzbatch Equation is used to compute mobility (DOF) the models below. Here mainly considering the given mechanism of an automobile hatchback lift mechanism which having the hatch (2) with the body (1) linked body by lift arm, modeled as two links (3 and 4) linkedbyslider joint

  Number of links L =4                 Number of full joints J1=4Number of half jointsJ2 =0 M =3 (L 1) 2 J1 J2  M=1

  DESIGN OF MACHINERY, Chapter 2, Problem 2.1P , additional homework tip  2

c.

Expert Solution
Check Mark
To determine

To find:Kinematic diagrams and total DOF in the electric can opener.

Explanation of Solution

Given information:

The initial conditions that are given are that of electric opener has 2 DOF.

Calculation:

Here Kutzbatch Equation is used to compute mobility (DOF) the given mechanismbelow. Here mainly considering the given mechanism of an electric opener has 2 DOF

  Number of links L =4                 Number of full joints J1=3Number of half jointsJ2 =0 M =3 (L 1) 2 J1 J2  M=2

  DESIGN OF MACHINERY, Chapter 2, Problem 2.1P , additional homework tip  3

d.

Expert Solution
Check Mark
To determine

To find:Kinematic diagrams and total DOF in a folding ironing board.

Explanation of Solution

Given information:

The initial conditions that are given are that of a folding ironing board

Calculation:

Here Kutzbatch Equation is used to compute mobility (DOF) the given mechanism below.Here mainly considering the given mechanism A folding ironing board with One leg joins pivot joint on board and the other is slider joint.

  DESIGN OF MACHINERY, Chapter 2, Problem 2.1P , additional homework tip  4

  Number of links L =3             Number of full joints J1=2Number of half jointsJ2 =1M =3 (L 1) 2 J1 J2  M=1

e.

Expert Solution
Check Mark
To determine

To find:Kinematic diagrams and total DOF in a folding card table.

Explanation of Solution

Given information:

The initial conditions that are given are that ofa folding card table.

Calculation:

Here Kutzbatch Equation is used to compute mobility (DOF) the given mechanism below. A folding card table having 7 DOF for considering 1 for individual leg, 2 for x-ylocation and one for angular orientation.

  DESIGN OF MACHINERY, Chapter 2, Problem 2.1P , additional homework tip  5

f.

Expert Solution
Check Mark
To determine

To find:Kinematic diagrams and total DOF in a folding beach chair.

Explanation of Solution

Given information:

The initial conditions that are given are that of a folding beach chair.

Calculation:

Here Kutzbatch Equation is used to compute mobility (DOF) the given mechanism below. A folding beach chair with ternary links having analysis below is Subtract 1 DOF forced stop.

  Number of links L =6          Number of full joints J1=7Number of half jointsJ2 =0M =3 (L 1) 2 J1 J2  M=1

  DESIGN OF MACHINERY, Chapter 2, Problem 2.1P , additional homework tip  6

g.

Expert Solution
Check Mark
To determine

To find:Kinematic diagrams and total DOF in a baby swing.

Explanation of Solution

Given information:

The initial conditions that are given are that ofa baby swing.

Calculation:

Here Kutzbatch Equation is used to compute mobility (DOF) the given mechanism below. A baby swing has 4 DOF,for swing 1 angular orientation w.r.t. frame, and 3 for location and orientation of the frame w.r.t. a 2-D frame.

  Number of links L =4          Number of full joints J1=3Number of half jointsJ2 =0M =3 (L 1) 2 J1 J2  M=2

  DESIGN OF MACHINERY, Chapter 2, Problem 2.1P , additional homework tip  7

h.

Expert Solution
Check Mark
To determine

To find:Kinematic diagrams and total DOF in a folding baby walker.

Explanation of Solution

Given information:

The initial conditions that are given are that ofA folding baby walker

Calculation:

Here Kutzbatch Equation is used to compute mobility (DOF) the given mechanism below. A folding baby walker having 4 DOF with considering of 1 degree with unfolded, and 3 for the walkerlocation and orientation w.r.t.a 2-D frame.

  Number of links L =4          Number of full joints J1=3Number of half jointsJ2 =0M =3 (L 1) 2 J1 J2  M=2

  DESIGN OF MACHINERY, Chapter 2, Problem 2.1P , additional homework tip  8

i.

Expert Solution
Check Mark
To determine

To find:Kinematic diagrams and total DOF in a fancy corkscrew.

Explanation of Solution

Given information:

The initial conditions that are given are that ofa fancy corkscrew.

Calculation:

Here Kutzbatch Equation is used to compute mobility (DOF) the given mechanism below. A fancy corkscrew having 2 DOF for screw rotated and arms rotate to translate w.r.t. screw.

  Number of links L =4          Number of full joints J1=3Number of half jointsJ2 =0M =3 (L 1) 2 J1 J2  M=2

j.

Expert Solution
Check Mark
To determine

To find:Kinematic diagrams and total DOF in a windshield wiper mechanism.

Explanation of Solution

Given information:

The initial conditions that are given are that of A windshield wiper mechanism.

Calculation:

Here Kutzbatch Equation is used to compute mobility (DOF) the given mechanism below.A windshield wiper mechanism has 1 DOF with considering of the wiper blades position w.r.t. a single input.

  Number of links L =4          Number of full joints J1=3Number of half jointsJ2 =0M =3 (L 1) 2 J1 J2  M=1

  DESIGN OF MACHINERY, Chapter 2, Problem 2.1P , additional homework tip  9

k.

Expert Solution
Check Mark
To determine

To find:Kinematic diagrams and total DOF in a dump truck mechanism.

Explanation of Solution

Given information:

The initial conditions that are given are that of. A dump-truck dump mechanism

Calculation:

Here Kutzbatch Equation is used to compute mobility (DOF) the given mechanism below.A dump-truck dump mechanism having 1 DOF for a angle of dump body for length of the hydraulic cylinder links w.r.t. the body truck.

  Number of links L =4          Number of full joints J1=3Number of half jointsJ2 =0M =3 (L 1) 2 J1 J2  M=1

  DESIGN OF MACHINERY, Chapter 2, Problem 2.1P , additional homework tip  10

l.

Expert Solution
Check Mark
To determine

To find:Kinematic diagrams and total DOF in a trash truck mechanism.

Explanation of Solution

Given information:

The initial conditions that are given are that ofA trash truck dumpster mechanism

Calculation:

Here Kutzbatch Equation is used to compute mobility (DOF) the given mechanism below. A trash truck dumpster mechanism having 2 DOF for generally a rotation and a translation.

  Number of links L =4          Number of full joints J1=2Number of half jointsJ2 =0M =3 (L 1) 2 J1 J2  M=2

  DESIGN OF MACHINERY, Chapter 2, Problem 2.1P , additional homework tip  11

m.

Expert Solution
Check Mark
To determine

To find:Kinematic diagrams and to find their total DOF in a trash truck tailgate mechanism.

Explanation of Solution

Given information:

The initial conditions that are given are that ofa pickup tailgate mechanism.

Calculation:

Here Kutzbatch Equation is used to compute mobility (DOF) the given mechanism below. A pickup tailgate mechanism having a 1 DOF.

  Number of links L =4          Number of full joints J1=3Number of half jointsJ2 =0M =3 (L 1) 2 J1 J2  M=1

  DESIGN OF MACHINERY, Chapter 2, Problem 2.1P , additional homework tip  12

n.

Expert Solution
Check Mark
To determine

To find:Kinematic diagrams and total DOF in an automobile jack.

Explanation of Solution

Given information:

The initial conditions that are given are that ofAn automobile jack mechanism.

Calculation:

Here Kutzbatch Equation is used to compute mobility (DOF) the given mechanism below. An automobile jack having 1 DOF for height jack and the other for the positionand orientation of the jack w.r.t. a 2-D frame.

  DESIGN OF MACHINERY, Chapter 2, Problem 2.1P , additional homework tip  13

, total4 DOF

  Number of links L =4          Number of full joints J1=2Number of half jointsJ2 =0M =3 (L 1) 2 J1 J2  M=2

o.

Expert Solution
Check Mark
To determine

To find:Kinematic diagrams and total DOF in a collapsible auto radio antenna.

Explanation of Solution

Given information:

The initial conditions that are given are that ofa collapsible auto radio antenna mechanism.

Calculation:

Here Kutzbatch Equation is used to compute mobility (DOF) the given mechanism below. Amany DOF with considering section for a collapsible auto radio antenna, its less one.

  Number of links L =4          Number of full joints J1=3Number of half jointsJ2 =0M =3 (L 1) 2 J1 J2  M=1

  DESIGN OF MACHINERY, Chapter 2, Problem 2.1P , additional homework tip  14

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Chapter 2 Solutions

DESIGN OF MACHINERY

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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