Velocity and Acceleration as Functions - Calculate the Stiffness of the Spring - Engineering Assignment Help

Assignment Task :

Question 1:  
For the cam-follower mechanism shown below, perform the following analysis:
a) Write expressions for the follower displacement, velocity, and acceleration as functions of the cam angle, ????????, and the cam dimensions.
b) Sketch these relationships over a cam rotation of 360 
c) Find the stroke of the follower and the minimum face width it should have.
d) Calculate the stiffness of the spring, which keeps the follower in contact with the cam at all, times.
e) Find the power of the motor used to operate the mechanism
The cam radius is given as 100 ???????????????? and the pivot offset is 60 ???????????????? from the centre. The camshaft speed is 320 ???????????????????????? in the counter-clockwise direction, and the follower mass is 5 ????????????????. The spring deflection is 10 ???????????????? when the follower is still at the rightmost location. The follower operates against a constant force of 1100 ???????? during its power stroke only. For the motor power calculations, neglect the spring force and the follower mass.

Question 2: 
 
QUESTION. TYPE THAT EXAMPLE ON MATLAB AND MODIFY IT TO SOLVE THIS ONE.
Design the following cam on Matlab. Motion particulars are as follows:
a) The follower rises 25  (in a parabolic motion fashion) during a cam rotation of 120  
b) The follower dwells during a cam rotation of 60  
c) The follower descends 20  (in a simple harmonic motion - SHM) during a cam rotation of100   Camshaft speed is 120 ????????????????????????. For a follower mass of 7 ????????????????, design a spring to ensure that the cam-follower contact is maintained at all times.

Obtain plots for the displacement, velocity, and acceleration of the follower against the cam angle of rotation. The cam, which operates a flat-faced follower, has a base circle diameter equal to 100 m. Plot the cam contour. What is the minimum width of the cam face?

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