The centre of gravity of the trapezium as shown in below figure from the side is at a distance of <img src="/images/question-image/civil-engineering/applied-mechanics-and-graphic-statics/1525411410-13.png" title="Applied Mechanics and Graphic Statics mcq question image" alt="Applied Mechanics and Graphic Statics mcq question image">

A square hole is made in a circular lamina, the diagonal of the square is equal to the radius of the circle as shown in below figure the shift in the centre of gravity is

A

$$\frac{{{\text{r}}\left( {\pi - 0.75} \right)}}{{\left( {\pi - 0.5} \right)}}$$

B

$$\frac{{{\text{r}}\left( {\pi - 0.25} \right)}}{{\left( {\pi - 0.75} \right)}}$$

C

$$\frac{{{\text{r}}\left( {\pi - 0.5} \right)}}{{\left( {\pi - 0.75} \right)}}$$

D

$$\frac{{{\text{r}}\left( {\pi - 0.5} \right)}}{{\left( {\pi - 0.25} \right)}}$$

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

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/sec2

B

0.75 m/sec2

C

1.00 m/sec2

D

1.25 m/sec2

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 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

In the structure shown in below figure, the member which carries zero force, is

A

AB

B

BC

C

BE

D

All the above

The reaction at the support B of the beam shown in below figure is

A

1.6 t

B

9.6 t

C

8.5 t

D

0.5 t