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Draw a helical spring of circular wire and -in terms of load, dimensions, and material- express:
- - max. shear stress,
- - angular deflection,
- - spring rate,
- - energy stored,
- - volume of spring wire,
- - axial deflection, and
- - length of spring wire.
Unpolarized light falls on two polarizing sheets placed one on top of the other. What must be the angle
between their transmission axis, if intensity of transmitted light by the analyzer is one third of that of
incident light?
A polarizer and analyzer are oriented so that the amount of transmitted light is maximum. Through what
possible angles should either be turned so that the intensity of transmitted light by the analyzer is reduced
to 75% and 25% of the maximum intensity
What is the name given to the type of diagram shown in Fig. 4(a)? (1 mark) (ii) Using Fig. 4(a), give a clear account of the development, during slow cooling, of the microstructure in an iron – carbon alloy with a carbon content of 0.25 wt% C. Your answer must give an account at each of the points A, B, C, and D shown on Fig. 4(a). (7 marks) (iii) What specific name is given to the iron – carbon alloy with a composition of less than 0.76 wt% C? (2 marks) (iv) Identify how the material structure changes as the wt % C increases from 0 to 1.2% and draw a sketch to show how the tensile strength, ductility and hardness of the material are affected as a result.
A 100 N force is applied at A as shown in figure below. Replace this force by a force-couple system at C and E.
Consider the steel column of a single storey building with the system of parallel forces as
shown in the Fig. Determine the magnitude of FA and FB such that the resultant force passes
through origin O of the given column. Use only vector approach to solve the unknowns
given.
Xd²y/dx²+5dy/dx+3y/x=sin(2logx)/x cauchy equation
Two locomotives on opposite banks of river pull a vessel moving parallel to the banks by means of two horizontal ropes. The tension in these ropes are 280 lb force (F1) and 380 lb force (F2), while the angle between them is 70°. Find the resultant pull on the vessel and the angle between each of the ropes (θ1 and θ2) and the sides of the canal
Consider the steel column of a single storey building with the system of parallel forces as shown in the Fig. Determine the magnitude of FA and FB such that the resultant force passes through origin O of the given column. Use only vector approach to solve the unknowns given.
A small metal bar, whose initial temperature was 20° C, is dropped into a large container of boiling water. How long will it take the bar to reach 90° C if it is known that its temperature increases 2° in 1 second?
