The continuity equation of fluid mechanics utilises the principle of conservation of

Are these statements about the Fluid mechanics true? Statement 1: Fluid mechanics is a branch in chemistry that involves study of fluids. Statement 2: Fluid mechanics can be divided into 2 major categories.

A

True, False

B

True, True

C

False, True

D

False, False

A vertically immersed surface is shown in the below figure. The distance of its centre of pressure from the water surface is
Hydraulics and Fluid Mechanics in ME mcq question image

Hydraulics and Fluid Mechanics in ME mcq question image

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

$$\frac{{{{\text{d}}^2}}}{{12}} + \overline {\text{x}} $$

Bernoulli's equation for fluid flow is derived following certain assumptions. Out of the assumptions listed below, which set of assumptions is used in derivation of Bernoulli's equation?
1. Fluid flow is frictionless & irrotational
2. Fluid flow is steady
3. Fluid flow is uniform & turbulent
4. Fluid is compressible
5. Fluid is incompressible

A

1, 3, 4

B

2, 4, 5

C

1, 2, 5

D

1, 4, 5

In the penalty formulation of the fluid flow model, if the velocity field (vx, vy ) satisfies the continuity equation, then the weight functions (w1, w2) also satisfy the continuity equation.

A

True

B

False

Which of the following are included in the Gestalt principles of perceptual organisation?
1. Figure-ground proximity, continuity
2. Proximity, continuity, good form
3. Continuity, good form, closure
4. Good form, closure, facilitation
Select the correct answer

A

1 and 2

B

3 and 4

C

1, 2 and 3

D

2 and 3

Statements followed by some conclusions are given below. Statements : 1. Some electricians are plumbers. 2. All plumbers are mechanics. Conclusions : I. Some mechanics are electricians or plumbers. II. Not all electricians are mechanics. Find which of the given conclusions logically follows from the given statements.

A

Only conclusion I follows

B

Only conclusion II follows

C

Both I and II follow

D

Neither I nor II follows

The centre of gravity of the trapezium as shown in below figure from the side is at a distance of
Applied Mechanics and Graphic Statics mcq question image

Applied Mechanics and Graphic Statics mcq question image

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

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

A mass m is constrained to move on a horizontal frictionless surface. It is set in circular motion with radius r₀ and angular speed ω₀ by an applied force $$\overrightarrow {\bf{F}} $$ communicated through an inextensible thread that passesthrough a hole on the surface as shown in figure given below. Then, this force is suddenly doubled.
Classical Mechanics mcq question image

The magnitude of the radial velocity of the mass

A

increases till mass falls into hole

B

decreases till mass falls into hole

C

remains constant

D

becomes zero at radius r₁, where 0 1 0

The force induced in the string BC due to the load 'W' as shown in the below figure is
Engineering Mechanics mcq question image

A

W sinθ

B

W cosθ

C

W tanθ

D

W cotθ

In the shown figure, the tension (T) in the string will be
Engineering Mechanics mcq question image

A

$$\frac{{{{\text{m}}_1}{{\text{m}}_2}{\text{g}}}}{{{{\text{m}}_1} + {{\text{m}}_2}}}$$

B

$$\frac{{2{{\text{m}}_1}{{\text{m}}_2}{\text{g}}}}{{{{\text{m}}_1} + {{\text{m}}_2}}}$$

C

$$\frac{{{{\text{m}}_1} + {{\text{m}}_2}}}{{{{\text{m}}_1}{{\text{m}}_2}{\text{g}}}}$$

D

$$\frac{{{{\text{m}}_1} + {{\text{m}}_2}}}{{2{{\text{m}}_1}{{\text{m}}_2}{\text{g}}}}$$

The continuity equation of fluid mechanics utilises the principle of conservation of

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