AP PGECET- 2016(Mechanical Engineering)

A System of homogeneous linear equations AX = 0 has a nontrivial solution if

If 2, 1+2i are the eigen values of a third order matrix A, then the third eigen value is

If f(x) = (x – 1) (x – 2) satisfy Lagrange Mean Value theorem at c in the interval [1,3] then c =

One root of the equation f(x) = 2x² – 5x +2 = 0 lies in the interval

Equilibrium of a rigid body under a system of forces signifies the condition in which the resultant force system is

The coefficient of friction between a large stationary body and a small moving body is maximum when the small body is

A cylindrical disk of mass 8 kg and diameter 1 m is rolling without slipping on a stationary flat surface. The moment of inertia of the disk about its instantaneous center of rotation is

The velocity of a particle in rectilinear motion is given by V = 2t³–3t² m/sec. Its acceleration after 2 seconds is

A gear wheel of pitch diameter 1 m has constant angular acceleration of 6 rad/s². The tangential acceleration of a point on its pitch circle is

Two bodies of masses M = 2 kg and m = 1 kg are connected by a light inextensible string passing over a smooth pulley. Mass m lies on smooth horizontal plane and mass M is hanging in air. If mass M is moving down then the acceleration of the system is (g is gravitational acceleration)

A body of mass 5 kg is moving at a speed of 10 m/s on a frictionless surface. It collides with another body of mass 10 kg moving in the same direction at 5.5 m/s. Both the bodies move together as a single entity with same velocity after collision. What is the final velocity of the system after the collision?

The state of stress at a point in an elastic body is a

In a structural element made of linear elastic material

In a shaft under pure torsion the shear stress is given as 100 MPa. The principle stresses are

Pick the incorrect statement from the following four statements:

A cantilever beam is subjected to a couple at its free end. Labeling BM for Bending Moment and SF for shear force.

A simply supported beam has its longitudinal axis parallel to X-axis. It is subjected to transverse load parallel to Y-axis. The width of the beam measured parallel to Z-axis is double the thickness measured parallel to Y-axis. The neutral axis of the beam is parallel to

A solid cylindrical shaft has stiffness ‘K’. The shaft is replaced by a hallow shaft such that the outer diameter D_o remains same as that of the solid shaft and inner diameter D_i is one fourth of the outer diameter (ie. D_i =0.25 D_o). Rest of the variables remains unaltered. The stiffness of the hallow shaft is?

A planar mechanism consists of 8 links, 8 turning pairs and 2 sliding pairs. The number of degrees of freedom for the mechanism is

In a special Grashoff’s four bar mechanism the input and output links are equal and longer while the coupler and fixed links are equal and shorter. When both the input and output links are perpendicular to the fixed link the velocity ratio is

An open chain planar mechanism has one turning pair and one sliding pair. A slender link rotates at N rpm with respect to the fixed link while the slider reciprocates along the axis of the slender link with a velocity of V m/sec. The Coriolis acceleration of the sliding link is

In a mechanical system a flywheel controls the fluctuations of torque produced by the prime mover. Keeping everything same the flywheel is replaced by another one having the same mass as the original one but double the diameter. The coefficient of fluctuation of speed will be

The control force for a spring loaded governor is given by a liner equation F= a r + b, Where F is the control Force, r is the radius of rotation for the balls, a and b are constants. The condition for a stable governor is

In a single cylinder IC engine when the magnitude of the primary unbalanced force becomes maximum and the magnitude of the secondary unbalanced force will be

Minimum number of teeth required to avoid interference on a 20^o involute pinion engaging with a gear wheel of any number of teeth must be at least

In an automobile with a regular type differential gear the speeds of the inner and outer wheels are 60 rpm and 62 rpm respectively. The speed of the crown wheel will be

In a spring mass vibrating system while the mass pass through the mean position

An undamped simple pendulum vibrates in the vertical plane, when the bob is at its mean position the net force on the bob is

A spring mass damper system has M = 1 kg, C = 2 N.sec/m and K = 4 N/m. What is the damping ratio?

A spring mass damper system has M = 1 kg, C = 2 N.sec/m and K = 4 N/m. What is the magnification factor when the excitation frequency is 2 rad/sec?

An automobile travels on a rough road whose profile can be approximated as a harmonic curve with amplitude of 0.1 m and wavelength 10 m/sec. when the vehicle travels along the road with a velocity of 10 m/sec. Modelling this as a support motion problem what is the excitation frequency?

A slender shaft supported in short bearings has a critical speed N rpm. When the short bearings are replaced with long bearings the critical speed will be

In the design of machine components if the factor of safety is increased it leads to the reduction in

A component made of brittle material subjected to pure shear fails

The relationship between notch sensitivity factor (q), theoretical stress concentration factor (k_t) and fatigue (or) form stress concentration (k_f) is given by

For the combination of radial load and thrust load the best bearing among the following is

Effect of increasing stiffness of springs in a centrifugal clutch leads to

A brake is said to be self-energizing when

A double fillet welded joint with parallel fillet weld of length L and leg a is subjected to a tensile force P. Assuming uniform stress distribution, the shear stress in the weld is

Mercury does not wet the glass. This is due to the property of the liquid, known as

A fluid in equilibrium can’t sustain

Choose the wrong statement

When a body floating in a liquid, is displaced slightly then it oscillates about

In a free vortex motion, the radial component of velocity everywhere is

The velocity profile for turbulent flow through a closed conduit is

Boundary layer separation is caused by the

The temperature in isentropic flow

Which of the following is not a dimension-less parameter?

A piece of metal of specific gravity 7 floats in mercury of specific gravity 13.6. What fraction of it will under mercury?

According to kinetic theory of gases, the absolute zero temperature can be attained when

Which of the following is correct?

A heat exchange process in which product of pressure and volume remains constant is known as

The absolute temperature of an ideal diatomic gas is quadrupled. What happens to the average speed of molecules?

A 1 kg block of ice at 0 ºC is placed into a perfectly insulated, sealed container that has 2 kg of water also at 0 ºC. The water and ice completely fill the container, but the container is flexible. After some time one can except that

Which of the following is correct?

Read the following Statements:

1. Otto cycle efficiency is higher than Diesel cycle efficiency for the same compression ratio and heat input because in Otto cycle combustion is at constant volume.
2. Otto cycle efficiency is higher than Diesel cycle efficiency for the same compression ratio and heat input because in Otto cycle maximum temperature is higher.
3. Otto cycle efficiency is higher than Diesel cycle efficiency for the same compression ratio and heat input because in Otto cycle heat rejection is lower.

Read the following Statements:

1. Thermal conductivity of air with rise in temperature increases.
2. Thermal conductivity of non-metallic amorphous solids with decrease in temperature decreases.
3. Thermal conductivity of solid metals with rise in temperature normally increases.

The concept of overall heat transfer coefficient is used in heat transfer problem of

Which of the following statement is correct pertaining to thermal diffusivity?

In free convection heat transfer transition from laminar to turbulent flow is governed by the critical value of the

The by-pass factor for a cooling coil

Which of the following statement is correct?

Stanton number is defined as

The radial heat transfer rate through hollow cylinder increases as the ratio of outer radius to inner radius

Which of the following statements is correct?

Which of the following is not true pertaining to four stroke internal combustion engine?

Mechanical efficiency of the internal combustion engine is defined as

Read the following Statements:

1. Regenerative cycle thermal efficiency is always greater than simple Rankine cycle.
2. The maximum percentage gain in Regenerative feed heating cycle thermal efficiency, increases with more number of feed heaters.
3. In a regenerative feed heating cycle, the optimum value of fraction of steam extracted for feed heating decreases with increase in Rankine cycle efficiency.

The work output of theoretical Otto cycle

The overall efficiency of a reaction turbine is the ratio of

Any change in load is adjusted by the adjusting the following parameter on turbine

The specific speed of a turbine is the speed of an imaginary turbine, identical with the given turbine, which

Choose the wrong statement

Freezing temperature of water decreases with

Alloy steel which is work hardenable and which is used to make the blades of bulldozers, bucket wheel excavators and other earth moving equipment contain iron, carbon and

During tensile testing of a specimen using universal testing machine, the parameters actually measured include

Heating the hypo-eutectoid steels to 30 °C above the upper critical temperature line, soaking at the temperature and then cooling slowly to room temperature to form a pearlite and ferrite structure, is known as

In case of power screws, what is the combination of materials used for the screw and nut

Vibration damping in machinery is best achieved by means of base structure made of which one of the following material?

Gray cast iron blocks 200 × 100 × 10 mm are to be cast in sand moulds. Shrinkage allowance for pattern making is 1%. The ratio of the volume of pattern to that of the casting will be

Bottom gating system is some times preferred in casting because

Misrun is a casting defect which occurs due to

Which of the following are produced by slush casting?

Which one of the following processes consists of central sprue to feed metal into cavities through a number of radial gates

In rolling a strip between two rolls, the position of the neutral point in arc of contact does not depends on

In open die forging a disc of diameter 200 mm and height 60 mm is compressed without any barreling effect, the final diameter of disc is 400 mm the true strain is

Which one of the following manufacturing processes requires the provision of gutters

The collapsible tooth paste tubes are manufactured by

In which one of the following welding techniques is vacuum environment is required?

High alloy steel components are preheated before welding for reducing

Which one among the following welding processes uses non-consumable electrode?

The type of coated electrode most widely used for welding low carbon steels

The strength of a brazed joint

In orthogonal cutting, the feed is 0.5 mm at a cutting speed of 2 m/sec. If the chip thickness is 0.75 mm, the chip velocity is: (consider the rake angle as zero)

The percentage of total energy dissipated due to friction at the tool chip interface is

The indexing of the turret in a single spindle lathe is done using

In a tool life test, doubling the cutting speed reduces the tool life to one fourth of the original. The Taylor’s tool life index is

3-2-1 method of location in jig or fixture would collectively restrict the work piece in ‘n’ degree of freedom, where the value of ‘n’ is

In an engineering drawing one finds the designation of 20G7f8, the position of tolerance of the hole is indicated by

For angle measurement in metrology, the following pair can be used in conjunction with each other

A small bore is designated 25H7. The lower (minimum) and upper (maximum) limits of the bore are 25.00 mm and 25.021 respectively. When the bore is designated as 25H8, then the upper limit is 25.033 mm. When the bore is designated as 25H6, then the upper limit of the bore in mm is

The geometric tolerance that does not need a datum for its specification is

In a CNC feed drive, a stepper motor with step angle of 1.6 degrees drives a lead screw with pitch of 2 mm. The basic length unit for this drive is

Machining of complex shapes on CNC machines requires

For generating a coons surface we require

Cellular manufacturing is suitable for

If the demand for an item is doubled and the ordering cost halved, the economic order quantity

A company has an annual demand of 1000 units, ordering cost of ₹ 100 order, and carrying cost of ₹ 100 unit-year. If the stock out costs are estimated to be nearly ₹ 400 each time the company runs out-of-stock, the safety stock justified by the carrying cost will be

Vehicle manufacturing assembly line is an example of

Production flow analysis (PFA) is a method of identifying part families that uses data from

A component can be produced by any of the four processes, I, II, III and IV. Process I has fixed cost of ₹ 20 and variable cost of ₹ 3 per piece. Process II has fixed cost of ₹ 50 and variable cost of Rs. 1 per piece. Process III has fixed cost of ₹ 40 and variable cost of ₹ 2 per piece. Process IV has fixed cost of ₹10 and variable cost of ₹ 4 per piece. If company wishes to produce 100 pieces of the component, from economic point of view it should choose

A dummy activity is used in PERT network to describe

The project activities, precedence relationships and durations are described in the table. The critical path of the project is