A tacheometer was setup at station P and the following readings were taken at two stations A and B with the staff held vertical and the line of sight horizontal.
| Line | Bearing | Staff intercept |
|---|---|---|
| PA | 210° | 1.2 m |
| PB | 135° | 1.4 m |
The additive and multiplying constants of the tacheometer are 0 and 100, respectively. The length of AB in m is ______ (round off to 1 decimal place).
A steel cube of side 50 mm is subjected to a uniform pressure of 200 MPa acting on each face. The Young’s modulus and Poisson’s ratio of the material are 200 GPa and 0.25, respectively. The decrease in the side of the cube in mm is ______ (round off to 3 decimal places).
A cylindrical sample of cross-sectional area , length , and Young’s Modulus , is subjected to a constant uniaxial load . Within the elastic limit of loading, the total strain energy stored is
A surface mine production system along with the reliability of the individual components is shown below. The system reliability is ______ (round off to 3 decimal places).
A mine gallery is supported by regularly placed roof bolts of 100 kN allowable pull force per bolt, as shown below. Assuming unit weight of the immediate roof is 25 kN /m³, the factor of safety of the support system is ______ (round off to 2 decimal places).
The slip circle of radius 30.0 m in an overburden slope is shown with the centre of slip circle at point O. The tension crack is completely filled with water. For one meter width of the slope, the moment exerted by the force of water about O in kN-m is ______ (round off to 1 decimal place).
The function values at four points of are shown in the table. The area under the function, using trapezoidal method, is ______ (round off to 1 decimal place).
| x | 2 | 4 | 8 | 9 |
|---|---|---|---|---|
| f(x) | 8 | 12 | 9 | 10 |
A particle starting from rest moves in a straight line such that after time, (seconds), the acceleration becomes . When the acceleration becomes zero, the velocity of the particle in cm/s is ______ (round off to 1 decimal place).
A parallelepiped has edge vectors as shown below.
The volume of the parallelepiped is ______ (round off to 1 decimal place).
The following figure represents the observations from the level survey of an underground gallery.
If the reduced level of station A is 100.0 m, the reduced level of station D in m is ______ (round off to 1 decimal place).