Practice Test: Mechanical Engineering (ME)- 5 - Mechanical Engineering

Select the pair that best express relationship similar to that expressed in the pair.
Light : Glint

A and B together can do a piece of work in 12 days, which B and C together can do in 16 days. Aft er A has
been working it for 5 days and B for 7 days, C finishes it in 13 days. In how many days C alone will do the
work?

Question 6 to 10 carry Two Marks each

Q.

The sufficient condition for matrix ‘A’ to be diagonalizable is

If x = y^a , y = z^b and z = x^c then abc = ?

Out of the four alternatives suggested select the one which is correct

T he value of X in the following figure is

The piechart shows the distribution of New York market share by volume of different computer companies in 2005.

Number of units sold in 2005 in New York = 1,500
Value of units sold in 2005 in New York = US$ 16,50,000

iⁱ is of the form, where 

Question 11 to 35 carry One Mark each

Q.

 Value of a is ____________

6 boys and 6 girls sit in a row randomly. The probability that all the six girls sit together is in the form 1/a. Value of a is ______________.

T he Laplace transformation of e^at cosh(bt) is

The value of  where R is the region in the first quadrant bounded by the curve y = x^2. y + x = 2 and x = 0.

A straight bar 500 mm long is 30 mm in diameter for the first 350 mm length and 20mm diameter for
the remaining length. If the bar is subjected to an axial pull of 20 kN find the extension of the bar take
E = 10⁵ N/mm²

If the suface tension at the soap air int erface is 0.088 N/m. Calculate the int ernal pressure in a soap bubble of 3 cm diameter _____________Pa.

What is the nature of this

The buckling load depends on

In a slab temperat ure profile is given by T = 100 – 50x and heat flux is 100 W/m². Find its conductivity ___________W/mK

Neutral flame is commonly used for the welding of

For a thermodynamic system to be in thermodynamic equilibrium which of the following can be non uniform
throughout the system

At triple point of water the number of independent properties required to fix the state of the system is/are

An increase in load at the free end of a cant ilever is likely to cause failure

A floating body displaces

T he relation between the number of links   and the number of binary joint s (j) for a kinematic chain
having constrained mot ion is given by  . If the left hand side of this equation is greater than
right hand side, then the chain is

In a V-belt drive, the belt makes cont act at

Single cylinder four stroke engine has brake power of 8 kW and brake mean effective pressure of 0.55 Mpa. What is the length of cylinder which is 1.2 times of bore diameter? (n = 3000 rpm)

Allowance is given to all vert ical faces of a pattern for their easy removal from sand without damaging the
mould

A piston cylinder device with a set of stops init ially at a pressure of 1MPa and tem perat ure of 400°C
contains 0.3 kg of water vapour stops corresponds to 60% of the initial volume. Now as the water vapour is
cooled keeping the pressure constant the compression work required will be. Take 'R' for water vapour as
0.4615 kJ/kgK. Consider water vapour as an ideal gas ______________ kJ.

The eccentricit y, crookedness and initial stress in columns are taken care by

In a heat exchanger the hot fluid ent ers with a temperature of 200°C and leaves at 170°C. T he cooling fluid enters at 30°C and leaves at 120°C. T he capacity rat io of the heat exchanger is ______________

A 40 mm flat plate is to reduced to 30 mm in a single pass cold rolling operat ion. Determine required
coefficient of frict ion. If the roll diameter is 600 mm ______________

T he thickness of a plate is to be reduced from 50 mm to 25 mm in a number of cold rolling passes. T he roll
radius is 350 mm and the coefficient of friction is estimated to be 0.15. T he maximum promissible draft for
each pass ______________

A gas turbine plant operates on the Brayton cycle between T_min = 300 K and T_max = 1000K. T he cyc le
efficiency is

Question 36 to 65 carry Two Marks each

Q.

A 20 kN load drops from a height 'h' over a vert ical wooden pole 300 mm in diameter and 4.5 m long.
If the permissible compressive stress in wood is 16 N/mm², what is the maximum permissible height h ?

Take E = 1.1 × 10⁴ N/mm² for wood.

A 90 N rectangular solid block slides down a 30° inclined plane. The plane is lubrt icated by 3mm thick film
oil of specific gravit y 0.9 & viscosity 8 poise. If the contact area is 0.3m², find the terminal velocity of the
block

In a crank and slot ted lever quick return mot ion mechanism, the distance between the fixed centres is
240 mm and the length of the driving crank is 120 mm. Find the inclinat ion of the slotted bar with the
vertical in the extreme position and the time ratio of cutting stroke t o the return stroke, if the length of
the slot ted bar is 450 mm

A single reduction spur gear having gear ratio 10 : 1 and pinion transmits 500 kW at 1800 rpm. Gear pair
have involute teeth of standard proportions of (addendum = module) and module 8mm with pressure angle
of 22.5°. Permissible normal pressure between teeth = 175 N per mm. Find the load on the bearings of the wheels due t o power transmitted _____________kN

Two plat es having k = 220 W/mK each 2 cm thick with 20 μm surface roughness are placed in cont act at a
high pressure. Outside surface temperature s are 280°C and 260 °C. T herm al cont act resistan ce is
3.5 × 10^–4 m² K/W. Find percentage drop of temperature in each plate with respect to temperature drop at
contact roughness

______________%

A blanking operation has to be performed on a 2 m thick steel to obtain 75 mm diameter pieces. If the
shear strength of the material is 450 MPa. The blanking force required ___________kN

In a Room 2 fans consuming 0.18 kW and three 100 W bulbs are used at time. Air at a rate of 80 kg/hr ent er the room with an enthalpy of 84 kJ/kg and leaves at 59 kJ/kg. T he rate at which heat is to be removed by the room cooler, so as to maintain steady state is __________kW

The power in (kW) required per tonne of refrigerat ion is  , where COP is the coefficient of performance then 'N' is equal to ____________________.

A portion of metal was removed out of a 30mm × 30mm × 90mm the centre of the ends of the bar as
shown in figure. If the permissible tensile stress is 75 N/mm² . What would be t he value of P_maximum

A wooden block in the form of a rectangular prism float with its shortest axis vert ical. The block is 40 cm
long, 20cm wide and 15 cm deep with a dept h of imersion of 12 cm. Calculate the position of the meta centre of the block

In a whit worth quick return motion mechanism as shown in figure, the distance between the fixed centres
is 50 mm and the length of the driving crank is 75 mm. T he length of the slot ted lever is 150 mm and
the length of the connecting rod is 135 mm. Find the ratio of the time of cutting stroke to the t ime of
ret urn stroke

_______________

Lewis equation in spur gears is used to find the

A infinit e length copper fin of k = 415 W/mK and 0.22 cm in diameter produces from a wall at 95°C int o
ambient air at 25°C. Heat transfer coefficient for free convection is e qual t o 10 W/m²K, find the heat
trasnfer from the fin

During ort hogonal machining of a steel workpiece with a single point cutting tool are 10° rake angle, chip
thickness is 1.5 mm, undefined chip thickness is 0.6 mm. The shear plane area is _______________mm²

The subcooling in vapour compressor system can be achieved by which of the following methods.

1. Inserting the special coil between the condensor and expansion valves.
2. Circulating the greater quantity of cooling water through the condensor.
3. Using water cooler rather than circulating water.

A system is initially at 250 K and a heat reservoir at 125 K is available. Calculate the maximum amount of
work that can be recovered as the system is cooled down to temperat ure of reservoir. It is given that heat
capacity of sy stem is C = αT², where is given by α = 0.045 J/K3

A stepped shaft of brass shown in figure is subjected to a t orque which produces a tot al angle of twist
of 3^o. What is the strain energy stored by the shaft? Take G = 3.85 × 10⁴ N/mm²

A flow is described by the stream function   . Locate the point at which the velocity vector has a magnit ude of 4 unit s and makes an angle of 150° with the x-axis

A body of weight 300 N is lying on a rough horizontal plane having a coefficient of frict ion as 0.3. What
would be the magnitude of the force, which can move the body, while acting at an angle of 25° with the
horizontal?

T he shape of steam line passing through the origin in the flow field u = cosθ, v = sinθ for a constant θ, is
determine by

In a counterflow h eat exchanger fluid 'A' enters at 5 20°C and mass flow rate 1.2 kg/s. Fluid 'B' enters at
20°C and has a mass flow rate 1.2 kg/s. T he effectiveness of heat exchanger 0.8. Find the exit temperature
of fluid 'B'. Cp for A is 1 kJ/kgK for B is 4.5 kJ/kgK

During orthogonal cutting with a 0° rack angle tool, the cutting and thrust forces were measured as 968 N
and 455 N respectively. Determine the coefficient of friction _____________

An IC engine cran kcase measuring 0.8 m × 0.3 m may be assumed as a flat palte. T he engine runs at a
speed of 25 m/s and the crankcase is cooled by the air flowing past it at the same speed. Calculate the heat
lost from the crankcase surface maint ained at 95°C to the ambient air at 25°C. Due to road induced vibration assume turbulent flow of air. Given: v = 17.95 × 10–6 m/s, k = 0.026 W/mK, Pr = 0.715

Find the percentage change in efficiency of the Ot t o cycle having a compression rat io of 7. If the Cv is
increased by 1%

An automobile engine operates on a fuel air rat io o f 0.05, volumet ric efficiency of 90% and indicated
thermal efficiency of 30%. Given that the calorific value of the fuel is 45 MJ/kg and the density of air at
int ake in 1 kg/m³. T he indicated mean effective pressure for the engine is

For , we have y = 1 at x = 0. By using Euler method and taking the step size 0.1. Find the value
of y at x = 0.4. ______________

If x + y = k is normal to y² = 12x, t hen k is________________

T he solution of the differential equation,   

If for a 2 × 2 matrix a₁₁ = a₁₂ = a₂₁ = 1 and a₂₂ = –1. If the eigen values of A¹⁹ can be written in the
form  then value of a × b is __________________

If  then the va lue of x is?