Mechanics of Machines - Dynamic Force Analysis - Engineering Assignment Help

Assignment Task :

Question 1: 

It is required to carryout dynamic force analysis of the four bar mechanism as shown in the figure. 

a) Draw the acceleration diagram 

b) Calculate the angular accelerations of all links 

c) Calculate the inertia forces 

Question 2: 

a) For the following cam follower mechanism, define: prime circle, pitch circle and trace point. 

b) The reciprocating radial roller follower of a plate cam is to rise 40 mm with simple harmonic motion in 180o of cam rotation and return with simple harmonic motion in the remaining 180o. If the roller radius is 7.5 mm and the prime-circle radius is 40 mm, construct the: 

i. displacement diagram 

ii. the pitch curve 

iii. the cam profile for clockwise cam rotation. 

If you are using the analytical method, you will need to use Excel or MATLAB and provide the screenshot of the drawing. You can access Excel and MATLAB through the EIT remote lab. 

If you are using the graphical method, take a picture of your working and insert it as a screenshot. 

c) Identify the type of cam follower mechanism for the following arrangements:

Question 3:

a) Explain how planetary gear train is used for getting different gear ratios in an automobile. 

b) Determine gear ratios for all the speeds for the following truck transmission gear box. 

Question 4: 

Determine the bearing reactions at A and B for the system given below. If it rotates at 350 rev/min. Determine the magnitude and the angular orientation of the balancing mass if it is located at a radius of 50 mm.

Question 5: 

a) A large and very high-speed turbine is to operate at an angular velocity of 18 000 rev/min and will have a rotor with a principal mass moment of inertia of 225 N.m.s2 . It has been suggested that because this turbine will be installed at the North Pole with its axis horizontal, perhaps the rotation of the earth will cause gyroscopic loads on its bearings. Estimate the size of these additional loads due to gyroscopic effect. 

b) The diameter of the driver pulley is 25 cm and that for the driven pulley is 55 cm for an open belt drive. The driver pulley rotates at 345 rpm. The angle of contact for the driver pulley is 3.054 rad. Calculate: 

i. the centre distance between two pulleys 

ii. the angle of contact for driven pulley, 

iii. length of the belt,

iv. angular speed of the follower pulley

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