Concept explainers
Find three (or other number as assigned) of the following common devices. Sketch careful kinematic diagrams and find their total degrees of freedom.
- An automobile hood hinge
mechanism - An automobile hatchback lift mechanism
- An electric can opener
- A folding ironing board
- A folding card able
- A folding beach chair
- A baby swing
- A folding baby walker
- A fancy corkscrew as shown in Figure P2-9
- A windshield wiper mechanism
- A dump truck dump mechanism
- A trash truck dumpster mechanism
- A pickup truck tailgate mechanism
- An automobile jack
- A collapsible auto radio antenna
a.
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.
b.
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
c.
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
d.
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.
e.
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.
f.
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.
g.
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.
h.
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.
i.
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.
j.
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.
k.
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.
l.
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.
m.
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.
n.
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.
, total4 DOF
o.
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.
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Chapter 2 Solutions
DESIGN OF MACHINERY
- Consider the figure as shown below. O-XoYoZo is the reference frame and O-X₁Y₁Z₁ is the frame attached to the tool. Sketch the tool position after each intermediate position of the operation of the tool about the reference frame: roll π/2(rotate about Zo), pitch -T/2(rotate about Yo), yaw π/2(rotate about Xo). Please write the final rotation matrix expression. ZI,Zo XI,Xo Yı, Yoarrow_forwardFast plzzzzz. Hand written plz asap please fast and if hand written i'll upvote otherwise downvotearrow_forwardThe kinematic scheme of the mechanism is given. Point C is the center of curvature of the link 3 at the point of the contact. Link 2 is with circular shape with center point B. Find the degrees of freedom.arrow_forward
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