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A single-link robot with a rotary joint is motionless at  = -5°. It is desired to move the joint in a smooth manner to  = 80° in 4 seconds and stop smoothly. Compute the corresponding parameters of a linear trajectory with parabolic blends.
Plot the position, velocity, and acceleration of the joint as a function of time.
(A) Explain the main properties of turbulent pipe flow and how they are different from or similar to laminar pipe flow

(B) Briefly explain the Newton's laws and conservation of momentum.

(C) Define the term angular momentum equation.
(A) Oil flows in a pipe 100 mm bore diameter with a Reynolds number of 500. The density is 800 kg/m3. calculate the velocity of a streamline at a radius of 40 mm. the viscosity = 0.08 Ns/m2.

(B) Identify and discuss the features of external flow?
Draw plots of low and high apparent density trabecular bone samples loaded to failure in compression on the same stress-strain axes. Include appropriate values on the axes
Explain why Haversian bone is transversely isotropic. Use sketches to help your explanation. Give moduli values to help your explanation
Predict the number of loading cycles to failure for cortical bone loaded to 2500 us in compression. Explain how bone remodeling can affect fatigue life
he percentage of microorganisms remaining vs. exposure time to autoclave sterilization process follows % = 70-t*2. The percentage of microorganisms remaining vs. exposure time to dry heat sterilization process follows % = 80-t*5. At what time both the methods are equally efficient?
After 6 mins of sterilization what will be the difference between the percentages of microorganisms remaining from both these methods, give the absolute number
The % live bacteria due to sterilization follows an exponential relation such as % live = 30 exp (-0.01 T). T is the temperature in oC. What should be the
temperature to achieve just less than 5 % live bacteria?
The percentage of microorganisms remaining vs. exposure time to autoclave sterilization process follows % = 70-t*2. The percentage of microorganisms remaining vs. exposure time to dry heat sterilization process follows % = 80-t*5. At what time both the methods are equally efficient?
(A) A 250 mm diameter pipe carries water flowing at 87 litres per second. the main pipe divides into two pipes,each 100 mm diameter. calculate the velocity in the smaller pipes.

(B) Evaluate the nature of linear momentum principles and their application in determining fluid flow parameters in optimising the operation of nozzle systems and fluid turbines.
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