Determine linear and angular velocities by graphical velocity analysis for the given position q2 = 60° of the mechanism, as shown above.

engineering

Description

1.    Answer to question 1: Graphical Position Analysis

Determine all possible positions of links and joints by graphical position analysis. Draw to scale all positions of joints for sixteen subsequent positions of link 2 and determine the limits of motion where appropriate. Identify and outline the paths of each moving joint.

[Write your answer here. Show detailed drawing and calculations with proper labelling and scale information]

Draw to scale all position of joints for 16 subsequent positions of link 2 and determine the path of each moving points. [See Figure below for an example]

Figure 3: Position diagram showing 16 points including path of each moving parts (Scale: 1 mm = ?? m)

Figure 4: Position diagram for path of each moving parts (Scale: 1 mm = ?? m)

 


 

2.    Answer to question 2: Graphical Velocity Analysis

Determine linear and angular velocities by graphical velocity analysis for the given position q2 = 60° of the mechanism, as shown above.  Draw to scale the velocity vector diagram encompassing all linear velocities to scale and present the results in a tabular form.

[Write your answer here. Show detailed drawing and calculations with proper labelling and scale information]

Show the calculations of VA, ω2, ω3, ω4, ω5 and draw to scale the velocity vector diagram of the mechanism at θ2 = 60°. [See Figure below for an example]

Figure 5: Velocity diagram (Scale: 1 mm = ?? m/s)

 

Tabulate the values from Graphical Velocity Method in Table 4.

Table 4: Results from graphical velocity analysis

Linear

velocity (m/s)

VA

=

 

VB

=

 

VC

=

 

VD

=

 

Angular

velocity

(rad/s)

ω2

=

 

ω3

=

 

ω4

=

 

ω5

=

 


 

3.    Answer to question 3: Graphical Acceleration Analysis

Determine all linear and angular accelerations by graphical acceleration analysis for the given position q2 = 60° of the mechanism. Draw to scale the acceleration vector diagram encompassing all linear accelerations to scale and present the results in tabular form.

[Write your answer here. Show detailed drawing and calculations with proper labelling and scale information]

Show the calculations of AA, α2, α3, α4, α5 and draw to scale the velocity vector diagram of the mechanism at θ2 = 60°. [See Figure below for an example]

Figure 6: Acceleration diagram (Scale: 1 cm = ?? m/s2)

 

Tabulate the values from Graphical Acceleration Method in Table 5.

Table 5: Results from graphical acceleration analysis

Linear

acceleration (m/s2)

AA

=

 

AB

=

 

AC

=

 

AD

=

 

Angular

acceleration (rad/s2)

α2

=

 

α 3

=

 

α 4

=

 

α 5

=

 

 

 


 

4.    Answer to question 4: Instantaneous Centres of Velocity

Determine all instantaneous centres of velocity for the given mechanism using Kennedy’s rule, and velocities of joints A, B, C and D using identified instantaneous centres.  Draw all instantaneous centres and velocities to scale on a separate diagram of the mechanism.

[Write your answer here. Show detailed drawing and calculations with proper labelling and scale information]

Find out all the Instantaneous centres of zero velocity using Kennedys triangle theorem and draw them all. Also draw the diagram to scale using Instantaneous Centre (IC) method at θ2 = 60°. [See Figure below for an example]


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