The C.G. of the shaded area of the below figure whose curve OM is a parabola from y-axis, is <img src="/images/question-image/civil-engineering/applied-mechanics-and-graphic-statics/1525413129-2.png" title="Applied Mechanics and Graphic Statics mcq question image" alt="Applied Mechanics and Graphic Statics mcq question image">

$$\frac{{\text{a}}}{4}$$

$$\frac{{3{\text{a}}}}{4}$$

$$\frac{{3{\text{b}}}}{{10}}$$

$$\frac{{3{\text{a}}}}{{10}}$$

$$\frac{{3{\text{a}}}}{5}$$

Correct Answer: $$\frac{{3{\text{a}}}}{4}$$

The moment of inertia of the shaded portion of the area shown in below figure about the X-axis, is

229.34 cm4

329.34 cm4

429.34 cm4

529.34 cm4

The C.G. of the shaded area of the bellow figure from the x-axis is

$$\frac{{\text{a}}}{4}$$

$$\frac{{3{\text{a}}}}{4}$$

$$\frac{{3{\text{b}}}}{{10}}$$

$$\frac{{3{\text{a}}}}{{10}}$$

$$\frac{{3{\text{a}}}}{5}$$

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

50 kg

750 kg

100 kg

120 kg

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

0.5 m/sec2

0.75 m/sec2

1.00 m/sec2

1.25 m/sec2

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

10.8 t

10.6 t

10.4 t

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:

50 kg

75 kg

25 kg

60 kg

The ratio of the reactions RA and RB of a simply supported beam shown in below figure is

0.50

0.40

0.67

1.00

The centre of gravity of the trapezium as shown in below figure from the side is at a distance of

$$\frac{{\text{h}}}{3} \times \frac{{{\text{b}} + {\text{2a}}}}{{{\text{b}} + {\text{a}}}}$$

$$\frac{{\text{h}}}{3} \times \frac{{2{\text{b}} + {\text{a}}}}{{{\text{b}} + {\text{a}}}}$$

$$\frac{{\text{h}}}{2} \times \frac{{{\text{b}} + {\text{2a}}}}{{{\text{b}} + {\text{a}}}}$$

$$\frac{{\text{h}}}{2} \times \frac{{2{\text{b}} + {\text{a}}}}{{{\text{b}} + {\text{a}}}}$$

The vertical reaction at the support ‘A’ of the structure shown in below figure, is

1 t

2 t

3 t

3.5 t