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2. Two parallel shafts connected by rolling cylinders turn in the same direction 150 rpm and 100 rpm respectively. The smaller cylinder is 16 in. in diameter. How far apart are the axes of the shafts?


3. Two parallel shafts, 24 inches apart and having a speed ratio of 3, are connected by cylinders in pure rolling contact. Determine the diameters of the cylinders: (1) when they turn in opposite directions; and (2) when they turn in the same direction.


A temperature sensor may be modeled as a sphere having a thermal conductivity of 91 W/m-K, a density of 8900kg/m3, and a specific heat of 444J/kg-K. If the sphere diameter is 3 mm. Determine the time required for the sensor to respond to 95% of a step change in the


temperature of the convective environment. The heat transfer coefficient is 1000W/m2-K.


A gas initially at P1= 827,400 Paa and v1=2.6 li undergoes a process and change state to a point where p2=275,800 Paa and v2=6.2li. If the internal energy decreases 123 KJ and Cp=295 J/kgm-K, determine (a) Cp, (b) delta U, and (c) R.

a compound tube of 300mm external and 100 mm internal diameter is formed by shrinking one cylinder onto another, the common diameter being 200 mm if the maximum hoop tensile stress induced in the outer cylinder is 90mn/mm². find hoop stress in the inner and outer diameter of both cylinders

A simply supported beam 6 meters long. From the left support there is a uniformly distibuted load of 12kN/m for 2 meters. One meter from the left a bending moment of 10 kNm anticlockwise is applied.

Take E = 200 GPa and I = 9 x 10-6m4

Use Macaulay' s method and take x = 0 on the left.


The barometer of a mountain hiker reads 930 mbars at the beginning of a hiking trip and 780 mbars at the end. Neglecting the effect of altitude on local gravitational acceleration, determine the vertical distance climbed. Assume an average air density of 1.20 kg/m3


Converting Bearings to Azimuth


1. AB, DUE NORTH



2. BS, S75°25'W



3. GE, N0°54'W



4. IO, S50°50'E



5. AC, N27°35'E



6. XY, DUE WEST



7. YZ, N25°75'E



8. WX, S80°54'E



9. UV,S10°50'W



10. ST, DUE EAST

Converting Azimuth to Bearing

1. Azim of Line DE = 228° 15'

2. Azim of Line EF = 135° 00'

3. Azim of Line DE = 0°

4. Azim of Line EF = 357° 59'

5. Azim of Line CD = 70° 30'

6. Azim of Line DE = 90°

7. Azim of Line EF = 135° 00'

8. Azim of Line DE = 200° 09'

9. Azim of Line EF = 37° 19'


Converting Azimuth to Bearing

Azim of Line DE= 228° 15'



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