Which forces are neglected to obtain Euler’s equation of motion from Newton’s second law of motion?

In order to apply Bernoulli’s equation across two sections, we have to obtain it from Euler’s equation. What is the operation that needs to be carried out in order to obtain it from Euler’s equation?

A

Partial Differentiation

B

Differentiation

C

Integration

D

None of the mentioned

Assertion (A) Newton's Third Law of Motion is applicable only when bodies are in motion.
Reason (R) Newton's Third Law applies to all types of forces, e.g. gravitational, electric or magnetic forces etc.

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true, but R is not the correct explanation of A

C

A is true, but R is false

D

A is false, but R is true

Which of the following must be followed by the flow of a fluid (real or ideal)?
(I) Newton's law of viscosity.
(II) Newton's second law of motion.
(III) The continuity equation.
(IV) Velocity of boundary layer must be zero relative to boundary.
(V) Fluid cannot penetrate a boundary.

A

I, II, III

B

II, III, V

C

I, II, V

D

II, IV, V

If in a fluid, while applying Newton’s second law of motion, compressibility force is neglected then what equation is obtained?

A

Navier Stoke’s Equation

B

Reynold’s equation of motion

C

Euler’s Equation of motion

D

Continuity Equation for fluid flow

Weak forces like hydrophobic interactions and Van der Waal forces can be safely neglected at nanoscale as they are neglected in bulk solutions.

A

True

B

False

If compressibility force and surface tension force are neglected from the Newton’s second law of motion, which of the following equations result?

A

Navier-Stokes equation

B

Euler’s equation

C

Bernoulli’s equation

D

Reynolds equation

The system of forces acting on the aircraft are propulsive forces, aerodynamic forces, gravitational forces and these result in inertial forces.

A

True

B

False

While numerically solving the differential equation $$\frac{{{\text{dy}}}}{{{\text{dx}}}} + 2{\text{x}}{{\text{y}}^2} = 0,\,{\text{y}}\left( 0 \right) = 1$$ using Euler's predictor-corrector (improved Euler-Cauchy) with a step size of 0.2, the value of y after the first step is

A

1.00

B

1.03

C

0.97

D

0.96

Loads used to obtain column design forces and to obtain beam design forces are:-

A

Necessarily same

B

Necessarily different

C

Most likely same

D

Most likely different

What is the equation for Newton's second law of motion?

A

F = mc²

B

F = ma

C

F = AP

D

$$F = \frac{1}{2}m{v^2}$$

Which forces are neglected to obtain Euler’s equation of motion from Newton’s second law of motion?

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