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From the stress-strain diagram shown below, the tangent and the secant moduli of elasticity in GPa are<br><img src="/images/question-image/mining-engineering/rock-mechanics-and-roof-supporting/1682422046-M2-2-12-3.PNG" title="Rock Mechanics and Roof Supporting mcq question image" alt="Rock Mechanics and Roof Supporting mcq question image">
A
4.0, 2.2
B
3.3, 2.3
C
3.3, 1.5
D
4.0, 1.5
Correct Answer:
4.0, 2.2
A body A of mass 6.6 kg which is lying on a horizontal platform 4.5 m from its edge is connected to the end of a light string whose other end is supporting a body of mass 3.2 kg as shown in below figure. If the friction between the platform and the body A is $$\frac{1}{3}$$, the acceleration is
A
0.5 m/sec<sup>2</sup>
B
0.75 m/sec<sup>2</sup>
C
1.00 m/sec<sup>2</sup>
D
1.25 m/sec<sup>2</sup>
A vertically immersed surface is shown in the below figure. The distance of its centre of pressure from the water surface is
A
$$\frac{{{\text{b}}{{\text{d}}^2}}}{{12}} + \overline {\text{x}} $$
B
$$\frac{{{{\text{d}}^2}}}{{12\overline {\text{x}} }} + \overline {\text{x}} $$
C
$$\frac{{{{\text{b}}^2}}}{{12}} + \overline {\text{x}} $$
D
$$\frac{{{{\text{d}}^2}}}{{12}} + \overline {\text{x}} $$
A glass reinforced polymer composite comprises of 35 volume % glass fiber and 65 volume % of polymer resin. The elastic moduli of glass and polymer resin are respectively 70 GPa and 3 GPa. The elastic modulus of the composite (in GPa) under iso-strain state is
A
4.51
B
25.45
C
26.45
D
27.45
A weight of 100 kg is supported by a string whose ends are attached to pegs ‘A’ and ‘B’ at the same level shown in below figure. The tension in the string is
A
50 kg
B
750 kg
C
100 kg
D
120 kg
The beam shown in below figure is supported by a hinge at ‘A’ and a roller at ‘B’. The reaction RA of the hinged support ‘A’ of the beam, is
A
10.8 t
B
10.6 t
C
10.4 t
D
10.2 t
Two loads of 50 kg and 75 kg are hung at the ends of a rope passing over a smooth pulley shown in below figure. The tension in the string is:
A
50 kg
B
75 kg
C
25 kg
D
60 kg
The ratio of the reactions RA and RB of a simply supported beam shown in below figure is
A
0.50
B
0.40
C
0.67
D
1.00
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of
A
$$\frac{{\text{h}}}{3} \times \frac{{{\text{b}} + {\text{2a}}}}{{{\text{b}} + {\text{a}}}}$$
B
$$\frac{{\text{h}}}{3} \times \frac{{2{\text{b}} + {\text{a}}}}{{{\text{b}} + {\text{a}}}}$$
C
$$\frac{{\text{h}}}{2} \times \frac{{{\text{b}} + {\text{2a}}}}{{{\text{b}} + {\text{a}}}}$$
D
$$\frac{{\text{h}}}{2} \times \frac{{2{\text{b}} + {\text{a}}}}{{{\text{b}} + {\text{a}}}}$$
The vertical reaction at the support ‘A’ of the structure shown in below figure, is
A
1 t
B
2 t
C
3 t
D
3.5 t
The member which does not carry zero force in the structure shown in below figure, is
A
ED
B
DC
C
BC
D
BD
