GATE XE (Engineering Sciences) 2016 Question Paper & Solutions

Question 1

The chairman requested the aggrieved shareholders to _________________ him.

Accepted Answer

bear with

Answer

bare with

Answer

bore with

Answer

bare

Question 2

Identify the correct spelling out of the given options:

Accepted Answer

Manageable

Answer

Managable

Answer

Mangaeble

Answer

Managible

Question 3

Pick the odd one out in the following: 13, 23, 33, 43, 53

Accepted Answer

33

Answer

23

Answer

43

Answer

53

Question 4

R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes. Which of the following can be logically inferred from the above statements?

Accepted Answer

R2D2 is the only robot which can repair aeroplanes.

Answer

R2D2 is a robot which can only repair aeroplanes.

Answer

R2D2 is a robot which can repair only aeroplanes.

Answer

Only R2D2 is a robot.

Question 5

If |9y−6| =3, then y2 −4y/3 is .

Accepted Answer

−1/3

Answer

0

Answer

+1/3

Answer

undefined

Question 6

The following graph represents the installed capacity for cement production (in tonnes) and the actual production (in tonnes) of nine cement plants of a cement company. Capacity utilization of a plant is defined as ratio of actual production of cement to installed capacity. A plant with installed capacity of at least 200 tonnes is called a large plant and a plant with lesser capacity is called a small plant. The difference between total production of large plants and small plants, in tonnes is ____.

Accepted Answer

120.0

Question 7

A poll of students appearing for masters in engineering indicated that 60 % of the students believed that mechanical engineering is a profession unsuitable for women. A research study on women with masters or higher degrees in mechanical engineering found that 99 % of such women were successful in their professions. Which of the following can be logically inferred from the above paragraph?

Accepted Answer

Mechanical engineering is a profession well suited for women with masters or higher degrees in mechanical engineering.

Answer

Many students have misconceptions regarding various engineering disciplines.

Answer

Men with advanced degrees in mechanical engineering believe women are well suited to be mechanical engineers.

Answer

The number of women pursuing higher degrees in mechanical engineering is small.

Question 8

Sourya committee had proposed the establishment of Sourya Institutes of Technology (SITs) in line with Indian Institutes of Technology (IITs) to cater to the technological and industrial needs of a developing country. Which of the following can be logically inferred from the above sentence? Based on the proposal, (i) In the initial years, SIT students will get degrees from IIT. (ii) SITs will have a distinct national objective. (iii) SIT like institutions can only be established in consultation with IIT. (iv) SITs will serve technological needs of a developing country.

Accepted Answer

(ii) and (iv) only.

Answer

(iii) and (iv) only.

Answer

(i) and (iv) only.

Answer

(ii) and (iii) only.

Question 9

Shaquille O’ Neal is a 60% career free throw shooter, meaning that he successfully makes 60 free throws out of 100 attempts on average. What is the probability that he will successfully make exactly 6 free throws in 10 attempts?

Accepted Answer

0.2508

Answer

0.2816

Answer

0.2934

Answer

0.6000

Question 10

The numeral in the units position of 211870 + 146127 × 3424 is _____.

Accepted Answer

7.0

Question 11

A company records heights of all employees. Let X and Y denote the errors in the average height of male and female employees respectively. Assume that 𝑋𝑋 ~ 𝑁𝑁(0, 4) and 𝑌𝑌 ~ 𝑁𝑁(0, 9) and they are independent. Then the distribution of 𝑍𝑍= (𝑋𝑋+ 𝑌𝑌)/2 is

Accepted Answer

𝑁𝑁(0, 3.25)

Answer

𝑁𝑁(0, 6.5)

Answer

𝑁𝑁(0, 2)

Answer

𝑁𝑁(0, 1)

Question 12

The volume of the solid obtained by revolving the curve 𝑦𝑦2 = 𝑥𝑥 , 0 ≤𝑥𝑥≤1 around 𝑦𝑦-axis is

Accepted Answer

𝜋𝜋 5

Answer

𝜋𝜋

Answer

2

Answer

𝜋𝜋 2

Question 13

Let 𝑦𝑦(𝑥𝑥) be the solution of the initial value problem 𝑑𝑑𝑑𝑑 𝑑𝑑𝑑𝑑+ 2𝑥𝑥𝑥𝑥= 𝑥𝑥; 𝑦𝑦(0) = 0. Find the value of lim𝑥𝑥 → ∞𝑦𝑦(𝑥𝑥).

Accepted Answer

0.5

Question 14

Which of the following is a quasi-linear partial differential equation?

Accepted Answer

𝜕𝜕2𝑢𝑢 𝜕𝜕 𝑡𝑡2 + 𝑢𝑢2 = 0

Answer

ቀ 𝜕𝜕𝜕𝜕 𝜕𝜕𝜕𝜕ቁ 2 + 𝜕𝜕𝜕𝜕 𝜕𝜕𝜕𝜕= 0

Answer

ቀ 𝜕𝜕𝜕𝜕 𝜕𝜕𝜕𝜕ቁ 2 − ቀ 𝜕𝜕𝜕𝜕 𝜕𝜕𝜕𝜕ቁ 2 = 0

Answer

ቀ 𝜕𝜕𝜕𝜕 𝜕𝜕𝜕𝜕ቁ 4 − ቀ 𝜕𝜕𝜕𝜕 𝜕𝜕𝜕𝜕ቁ 3 = 0

Question 15

Let 𝑃𝑃(𝑥𝑥) and 𝑄𝑄(𝑥𝑥) be the polynomials of degree 5, generated by Lagrange and Newton interpolation methods respectively, both passing through given six distinct points on the 𝑥𝑥𝑥𝑥-plane. Which of the following is correct?

Accepted Answer

𝑃𝑃(𝑥𝑥) ≡𝑄𝑄(𝑥𝑥)

Answer

𝑃𝑃(𝑥𝑥) − 𝑄𝑄(𝑥𝑥) is a polynomial of degree 1

Answer

𝑃𝑃(𝑥𝑥) − 𝑄𝑄(𝑥𝑥) is a polynomial of degree 2

Answer

𝑃𝑃(𝑥𝑥) − 𝑄𝑄(𝑥𝑥) is a polynomial of degree 3

Question 16

The Laurent series of 𝑓𝑓(𝑧𝑧) = 1/(𝑧𝑧3 − 𝑧𝑧4) with center at 𝑧𝑧= 0 in the region |𝑧𝑧| > 1 is

Accepted Answer

−∑ 1 𝑧𝑧𝑛𝑛+4 ∞ 𝑛𝑛=0

Answer

∑ 𝑧𝑧𝑛𝑛−3 ∞ 𝑛𝑛=0

Answer

∑ 𝑧𝑧𝑛𝑛 ∞ 𝑛𝑛=0

Answer

∑ 1 𝑧𝑧𝑛𝑛 ∞ 𝑛𝑛=0

Question 17

The value of the surface integral F dS Γ ⋅ ∫∫ n υρ over the sphere Γ given by 𝑥𝑥2 + 𝑦𝑦2 + 𝑧𝑧2 = 1, where ˆ ˆ = 4 F x i - z k ρ , and ndenotes the outward unit normal, is

Accepted Answer

4 𝜋𝜋

Answer

𝜋𝜋

Answer

2 𝜋𝜋

Answer

3 𝜋𝜋

Question 18

A diagnostic test for a certain disease is 90% accurate. That is, the probability of a person having (respectively, not having) the disease tested positive (respectively, negative) is 0.9. Fifty percent of the population has the disease. What is the probability that a randomly chosen person has the disease given that the person tested negative?

Accepted Answer

0.099 to 0.101

Question 19

Let 𝑀𝑀= ቀ1 1 0 1ቁ. Which of the following is correct?

Accepted Answer

1 is the only eigenvalue and 𝑀𝑀 is not diagonalizable

Answer

Rank of 𝑀𝑀 is 1 and 𝑀𝑀 is not diagonalizable

Answer

Rank of 𝑀𝑀 is 2 and 𝑀𝑀 is diagonalizable

Answer

1 is the only eigenvalue and 𝑀𝑀 is diagonalizable

Question 20

Let 𝑓𝑓(𝑥𝑥) = 2 𝑥𝑥3 − 3𝑥𝑥2 + 69, −5 ≤𝑥𝑥≤5. Find the point at which 𝑓𝑓 attains the global maximum.

Accepted Answer

5.0

Question 21

Calculate 1 2 C C F dr F dr ⋅ − ⋅ ∫ ∫ ρ ρ ρ ρ, where 𝐶𝐶1:𝑟𝑟⃗(𝑡𝑡) = (𝑡𝑡, 𝑡𝑡2) and 𝐶𝐶2:𝑟𝑟⃗(𝑡𝑡) = ൫𝑡𝑡, √𝑡𝑡൯, 𝑡𝑡 varying from 0 to 1 and ˆ F = xy j ρ .

Accepted Answer

0.149 to 0.151

Question 22

In the parallel-plate configuration shown, steady-flow of an incompressible Newtonian fluid is established by moving the top plate with a constant speed, U0 = 1m/s. If the force required on the top plate to support this motion is 0.5 N per unit area (in m2) of the plate then the viscosity of the fluid between the plates is __________ N-s/m2

Accepted Answer

0.0049 to 0.0051

Question 23

For a newly designed vehicle by some students, volume of fuel consumed per unit distance travelled (qf in m3/m) depends upon the viscosity (μ) and density (ρ) of the fuel and, speed (U) and size (L) of the vehicle as where C is a constant. The dimensions of the constant C are

Accepted Answer

M2L-1T-1

Answer

M0L0T0

Answer

M2L-5T-1

Answer

M-2L1T1

Question 24

A semi-circular gate of radius 1m is placed at the bottom of a water reservoir as shown in figure below. The hydrostatic force per unit width of the cylindrical gate in y-direction is _______ kN. The gravitational acceleration, g = 9.8 m/s2 and density of water = 1000 kg/m3.

Accepted Answer

15.3 to 15.5

Question 25

Velocity vector in m/s for a 2-D flow is given in Cartesian coordinate as Symbols bear usual meaning. At a point in the flow field, the - and -components of the acceleration vector are given as m/s2 and -0.5 m/s2, respectively. The velocity magnitude at that point is ________ m/s.

Accepted Answer

1.4 to 1.42

Question 26

If is velocity potential and is stream function for a 2-D, steady, incompressible and irrotational flow, which one of the followings is incorrect?

Accepted Answer

Answer

+ = 0

Answer

+ = 0

Question 27

The flow field shown over a bluff body has considerably curved streamlines. A student measures pressures at points A, B, C, and D and denotes them as PA, PB, PC, and PD respectively. State which one of the following statements is true. The arrow indicates the freestream flow direction.

Accepted Answer

PA > PB and PC < PD

Answer

PA = PB and PC > PD

Answer

PA > PB and PC > PD

Answer

PA = PB and PC < PD

Question 28

A 2-D incompressible flow is defined by its velocity components in m/s as and . If the value of the constant is equal to 0.1 m2/s, the numerical value of vorticity at the point m and m is ________ s-1.

Accepted Answer

-0.00001 to 0.00001

Question 29

Two flow configurations are shown below for flow of incompressible, viscous flow. The inlet velocity for the diverging nozzle (Fig (i)) and free-stream velocity for flow past the bluff body (Fig(ii)) is constant. Points A and B are separation points and flow is laminar. The relation regarding velocity gradients at point A and B is (y is the direction normal to the surface at the point of separation)

Accepted Answer

Answer

)

Question 30

Consider a fully developed, steady, incompressible, 2-D, viscous channel flow with uniform suction and blowing velocity , as shown in the figure given below. The centerline velocity of the channel is 10 m/s along the x-direction. If the value of at both the walls is 1 m/s, the value of the y- component of velocity inside the flow field is __________ m/s.

Accepted Answer

0.9 to 1.1

Question 31

Exhaust from a kitchen goes into the atmosphere through a tapered chimney as shown. The area of cross-section of chimney at location-1 is twice of that at location-2. The flow can be assumed to be inviscid with constant exhaust density of 1 kg/m3 and acceleration due to gravity, g = 9.8 m/s2. If the steady, uniform exhaust velocity at location-1 is U = 1m/s, the pressure drop across the chimney is ________ Pa.

Accepted Answer

2.95 to 3.05

Question 32

A jet of diameter 20 mm and velocity 6 m/s coming out of a water-tank standing on a frictionless cart hits a vane and gets deflected at an angle 45o as shown in the figure below. The density of water is 1000 kg/m3. Neglect all minor and viscous losses. If the cart remains stationary, the magnitude of tension in the supporting string connected to the wall is ________ N.

Accepted Answer

7.9 to 8.1

Question 33

A block is floating at the oil-water interface as shown. The density of oil is two-thirds of that of water. Given that the density of the block is 800 kg/m3 and that of water is 1000 kg/m3, the fraction of the total height of block in oil is ________.

Accepted Answer

0.59 to 0.61

Question 34

A horizontal pipe is feeding water into a reservoir from the top with a time-dependent volumetric flow-rate, Q (m3/h)= 1+0.1 where t is time in hours. The area of the base of the reservoir is 0.5 m2. Assuming that initially the reservoir was empty, the height of the water level in the reservoir after 60 minutes is __________ m.

Question 35

Velocity field of a 2-D steady flow is provided as = . The equation of the streamlines of this flow is

Accepted Answer

Question 36

Velocity potential and stream function in polar coordinates ( r, θ ) for a potential flow over a cylinder with radius is given as and , respectively. Here, denotes uniform freestream velocity, and θ is measured counter clockwise as shown in the figure. How does the velocity magnitude, , over the surface of the cylinder will vary?

Accepted Answer

Question 37

Consider a laminar flow over a flat plate of length = 1m. The boundary layer thickness at the end of the plate is for water, and for air for the same freestream velocity. If the kinematic viscosities of water and air are 1 and 1 , respectively, the numerical value of the ratio, is _________.

Question 38

Prototype of a dam spillway ( a structure used for controlled release of water from the dam) has characteristic length of 20m and characteristic velocity of 2 m/s. A small model is constructed by keeping Froude number same for dynamic similarity between the prototype and the model. What is the minimum length-scale ratio between prototype and the model such that the minimum Reynolds' number for the model is 100? The density of water is 1000 kg/m3 and viscosity is 10-3 Pa-s.

Accepted Answer

1.8 10-4

Answer

1 10-4

Answer

1.8 10-3

Answer

9.1 10-4

Question 39

An orifice meter, having orifice diameter of d is placed in a water pipeline having flow rate, . The ratio of orifice diameter to pipe diameter is 0.6. The contraction coefficient is also 0.6. The density of water is 1000 kg/m3. If the pressure drop across the orifice plate is 43.5kPa, the discharge co-efficient of the orifice meter at this flow Reynolds number is _________.

Accepted Answer

0.29 to 0.33

Question 40

Consider the following figures shown below. The objects are marked as A1, A2, B1, B2 and C1, C2 and the flow directions over these objects are shown by the respective arrow placed to the left of the object. Freestream velocities are same for all the cases. Amongst these objects, A1, A2, B1 and C1 are having smooth surfaces while B2 and C2 are having rough surfaces. Reynolds number is such that flow over rough surfaces become turbulent and flow over smooth surfaces can be considered laminar. All the airfoils can be considered as thin slender airfoil. Among the statements (i) to (vi) made about the drag of these objects which is/are correct? (i) Drag of object A1 is less than drag of object A2. (ii) Drag of Object A1 and A2 are same. (iii) Drag of Object B1 is more than drag of object B2. (iv) Drag of object B2 is more than drag of object B1. (v) Drag of Object C1 is more than drag of object C2. (vi) Drag of object C2 is more than drag of object C1.

Accepted Answer

(i),(iii) & (vi)

Answer

(ii),(iii) & (vi)

Answer

(i),(iii) & (v)

Answer

(i),(iv) & (vi)

Question 41

Consider 2-D, steady, incompressible, fully developed flow of viscous, Newtonian fluid through two stationary parallel plates, in Cartesian co-ordinate (x,y,z) system. Assume plates are very long in x-direction, wide in z-direction (also there is no variation of velocity in z direction) and distance between them is 2h. The velocity in such a channel is given as The origin y = 0 is located at the center between the plates. If h = 48 mm and , difference between values of stream functions passing through y = 0 and y = h/2 is __________ mm2/s.

Question 42

A pump is used to deliver water to an overhead tank at a flow rate of . The pump adds1.6 kW to water. If the density of water is 1000 kg/m3 and acceleration due to gravity is 10 m/s2, the pump head added to the flow is _________ m.

Accepted Answer

39 to 41

Question 43

Water is discharged at atmospheric pressure from a large reservoir through a long pipe of diameter d and length L. The height of the free surface of the reservoir from the discharge point is h meters. The Darcy's friction factor of the pipe is 0.002. Neglect the velocity inside the reservoir as the reservoir is very large. Given, L = 20m, d = 40mm, density of water = 1000kg/m3 and flow rate is . Assume gravitational acceleration, g = 10 m/s2. The value of h is _______m.

Accepted Answer

9.7 to 10.3

Question 44

A single degree of freedom vibrating system has mass of 5 kg, stiffness of 500 N/m and damping coefficient of 100 N-s/m. To make the system critically damped

Accepted Answer

no change in any of the system parameters is required.

Answer

only the mass is to be increased by 1.2 times.

Answer

only the stiffness is to be reduced to half.

Answer

only the damping coefficient is to be doubled.

Question 45

A “L” shaped robotic arm AB is connected to a motor at end A and a magnetic gripper at B as shown in the figure. If the arm is rotating with an angular velocity of 2 rad/s and an angular acceleration of 3 rad/s2, the magnitude of the acceleration (in m/s2) of the end B is

Accepted Answer

2.5

Answer

2.0

Answer

5.0

Answer

6.0

Question 46

A block of weight 100 N is in static equilibrium on an inclined plane which makes an angle 15º with the horizontal. The coefficient of friction between the inclined plane and the block is 0.3. The magnitude of friction force (in N) acting on the block is __________ 0.3 m 0.4 m A B 900 2 rad/s 3 rad/s2 15º 100 N

Accepted Answer

25.5 to 26.0

Question 47

The lower end A of the rigid bar AB is moving horizontally on the floor towards right with a constant velocity of 5 m/s and the point B is sliding down the wall. The magnitude of the velocity of point B at the instant θ=30º is

Accepted Answer

8.66 m/s

Answer

zero

Answer

4.34 m/s

Answer

7.25 m/s

Question 48

The state of plane stress at a point in a body is shown in the figure. The allowable shear stress of the material of the body is 200 MPa. According to the maximum shear stress theory of failure the maximum permissible value of σ (in MPa) is __________

Accepted Answer

200

Question 49

For a slender steel column of circular cross-section the critical buckling load is cr P . If the diameter of the column is doubled (keeping other material and geometrical parameters same), then the critical buckling load of the column is

Accepted Answer

16 cr P

Answer

cr P /16

Answer

8 cr P

Answer

2 cr P

Question 50

A closed thin cylindrical pressure vessel having an internal diameter of 1000 mm and a thickness of 10 mm is subjected to an internal pressure of 4 MPa. The maximum shear stress (in MPa) induced in the cylinder is __________ (neglect the radial stress).

Accepted Answer

100

Question 51

A solid circular shaft subjected to pure torsion develops a maximum torsional shear stress of 120MPa. Keeping the torsional moment same, if the diameter of the shaft is doubled then the maximum shear stress (in MPa) induced in the shaft is __________ A B θ Floor Wall

Accepted Answer

15

Question 52

On a single straight track, a vehicle of mass 500 kg moving with a velocity of 25 m/s strikes another vehicle of mass 250 kg moving with a velocity 10 m/s in the same direction. After the impact, if both the vehicles stick together, the common velocity (in m/s) with which both the vehicles will move together is __________

Accepted Answer

20

Question 53

A system with three forces and a concentrated moment at A is shown in the figure. The system is replaced by an equivalent force system with a single force and a single couple at point ‘O’. The magnitude (in N-m) of the equivalent couple at ‘O’ is __________

Accepted Answer

150

Question 54

A block A on a smooth inclined plane is connected to block B as shown in the figure using an inextensible cord which pass over a mass-less and friction-less pulley. Initially, the block B is constrained to be at rest. If the constraint on block B is released, the magnitude of velocity (in m/s) of the block ‘B’ after 2 seconds from its release is __________ (assume g =10 m/s2). 200 N 30o O 100 N 50 N-m 2 m 2 m 50 N 4 m A 1 m A B 30º 10 kg 5 kg

Accepted Answer

10

Question 55

The vibrating system shown in the figure carries a mass of 10 kg at the free end, where the static deflection is 1 mm. This system is to be replaced by an equivalent vibrating spring mass system having equivalent mass of 2 kg (assume g =10 m/s2). The natural frequency (in rad/s) and the stiffness (in kN/m) of the equivalent system respectively are

Accepted Answer

100 and 20

Answer

10 and 20

Answer

20 and 100

Answer

1000 and 20

Question 56

A beam having flexural rigidity EI and length L is subjected to a concentrated end moment 0 M as shown in the figure. For 3 2 4 10 N-m EI =× , 1m L = and 0 8kN-m M = , the strain energy stored (in kN-m) in the beam and the rotation (in rad) at the free end respectively are

Accepted Answer

8.00 and 2.00

Answer

8.00 and 0.02

Answer

8.00 and 0.04

Answer

0.80 and 2.00 2 m 1 m L M0

Question 57

At a point ‘O’ on a metal sheet a square OABC of a unit side length is drawn. The square undergoes a small uniform elastic deformation and deforms to OA*B*C* (dashed lines) as shown in the figure. All dimensions are in mm and the figure is not to scale. The normal strains xε, y ε and shear strain xy γ developed in the square respectively are

Accepted Answer

0.0020, 0.0025 and 0.0020 − −

Answer

0.0020, 0.0025 and 0.0020 −

Answer

0.0025, 0.0020 and 0.0020 −

Question 58

Mohr’s circle for the state of plane stress at a point is shown in the figure. Unit of stress is MPa and the circle is drawn not to scale. Which one of the following options (stress values in MPa) is true? (normal stress) (shear stress) A B C O O – Origin of – axis C – Center of Mohr’s circle 20 30 40 ( A, A) ( , ) ( , 0) ( , 0)

Accepted Answer

1 2 50, 10, 30, 70 A B σ σ σ σ =− = = =−

Answer

1 2 50, 20, 30, 50 A B σ σ σ σ =− = = =−

Answer

1 2 30, 30, 30, 10 A B σ σ σ σ =− = = =−

Answer

1 2 20, 10, 50, 30 A B σ σ σ σ =− = = =−

Question 59

As shown in the figure, links AB and CD support the rigid member BD. Links AB and CD are made of aluminum alloy( ) 100GPa E = and each has a cross-sectional area of 2 100mm . All the members are pin connected and all the dimensions are in mm. Neglecting the weights of the members, the elongation (in mm) of the link AB is __________ A B C D 6 kN 400 400 100 200

Accepted Answer

0.16

Question 60

Figure shows an elastic beam of constant flexural rigidity EI and length . L The transverse deflection ( ) v x for the beam is represented by the equation ( ) 3 2 0 ( ) (4 ), v x M x x L EI L = − where 0 M is the applied couple. If 100mm L = and 0 100 N-mm M = , then the magnitude of the shear force (in N) at the middle of the beam (at / 2) x L = is __________

Accepted Answer

1.5

Question 61

Which one of the following represents the correct bending moment diagram of the beam PQR loaded as shown in the figure?

Accepted Answer

Question 62

A point in a body is subjected to plane state of stress in XY plane. If 140MPa, x σ= 60MPa y σ = and the major principal stress is 150 MPa, the magnitude of the in-plane shear stress xy τ (in MPa) is

Accepted Answer

30

Answer

75

Answer

40

Answer

70

Question 63

A 40 mm diameter rotor shaft of a helicopter transmits a torque T = 0.16 π kN-m and a tensile force P = 24 π kN. The maximum tensile stress (in MPa) induced in the shaft is __________. Use the value of π = 3.1416. T T P P

Accepted Answer

80

Question 64

A wooden block of length 400 mm, width 50 mm and depth 100 mm is subjected to uniaxial load as shown in the figure. An inclined plane ABCD is shown which makes an angle θ with the XZ plane and the line CD is parallel to the Z-axis. The normal stress on the plane ABCD is 1 n σ when o θ 30 = and the normal stress on the plane ABCD is 2 n σ when o 120 θ= . The value of 2 1 n n σ σ is __________ 10 kN X 10 kN θ A C D B Y Z 400 mm

Accepted Answer

3

GATE XE (Engineering Sciences) 2016 Question Paper & Solutions

General Aptitude

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Engineering Mathematics

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Fluid Mechanics

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Solid Mechanics

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Thermodynamics

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9