**MPSC Lecturer, Applied Mechanics, M.P.T.S. Gr.A. – 2018, Question Paper **

**One of the four assumptions underlying the EOQ model is that**

(1) The demand pattern follows a normal distribution over the order cycle.

(2) The purchase price per unit varies depending upon the quantity ordered.

(3) Replenishment is instantaneous at the expiration of the lead time.

(4) The model makes allowance for stock out by including an under stocking cost.

**Nit riding is a process for**

(1) Normalizing

(2) Annealing

(3) Tempering

(4) Case hardening

**A cyclic heat engine operates between a source temperature of 800°C and a sink temperature of 30°C. What is the least rate of heat rejection per kW net output of the engine?**

(1) 1.392 kW

(2) 0.392 kW

(3) – 1.392 kW

(4) – 0.892 kW

**The iron-carbon diagram and the TIT curves are determined under**

(1) Equilibrium and non-equilibrium conditions respectively.

(2) Non-equilibrium and equilibrium conditions respectively.

(3) Equilibrium conditions for both.

(4) Non-equilibrium conditions for both.

**For same compression ratio and same heat input**

(1) Thermal efficiency of Otto cycle is greater than Diesel cycle

(2) Thermal efficiency of Diesel cycle is greater than Otto cycle

(3) Thermal efficiency of Otto cycle is same as Diesel cycle

(4) Thermal efficiency of Otto cycle cannot be predicted

**Which type of colour and mark code is provided for wooden patterns (IS: 1513 – 1950) for machined openings ?**

(1) Yellow

(2) Red or Orange

(3) Black on core prints

(4) Yellow stripes on black on core prints

**Drop wise condensation usually occurs on**

(1) Glazed surface

(2) Smooth surface

(3) Rough surface

(4) Coated surface

**In orthogonal turning of a mild steel bar of 60 mm diameter on a lathe, a feed of 0.8 mm was used. A continuous chip of 1.4 mm thickness was removed at a rotational speed of 80 rpm of work. Calculate the chip thickness ratio (r) and chip reduction ratio (k).**

(1) r = 0.87, k = 2.25

(2) r = 0.57, k = 1.75

(3) r = 0.97, k = 1.50

(4) r = 0.37, k = 1.25

**Ultrasonic machining is chiefly employed for**

(1) Hard and Ductile material

(2) Ductile and Brittle material

(3) Hard and Brittle material

(4) All of the above

**The purpose of heat treatment process is to**

(1) Improve mechanical and electrical properties

(2) Increase resistance to wear, heat and corrosion

(3) Change in chemical composition

(4) All of the above

**In blanking operation, the clearance is provided on**

(1) The die

(2) The punch

(3) Both die and punch

(4) Neither the punch nor the die

**13.The position coordinate of a particle which is confined to move along a straight line is given by S = 2t3 – 24t + 6, where ‘S’ is measured in metres from a convenient origin and’t’ is in seconds. The time required for the particle to reach a velocity of 72 m/sec from its initial condition at t = 0 will be **

(1) 16 sec

(2) 4 sec

(3) 5 sec

(4) 2 sec

**A 20-Mg railroad car moving at a speed of 0.5 m/sec to the right collides with a 35-Mg car which is at rest. If after the collision the 35-Mg car is observed to move to the right at a speed of 0.3 m/sec., the coefficient of restitution between the two cars will be**

(1) e = 0.56

(2) e = 0.75

(3) e = 0.65

(4) e = 0.85

**A burglar’s car had a start with an acceleration of 2 m/s2. A police vigilant party came after 5 sec and continued to chase the burglar’s car with uniform velocity of 20 m/s. Find the time taken in which the police will overtake the car.**

(1) 20 sec

(2) 10 sec

(3) 3 sec

(4) 5 sec

**Plane motion of a rigid body will have**

(1) Translation only

(2) Rotation only

(3) Both translation and rotation

(4) Neither translation nor rotation

**A lift carries a weight of 3600 N and is moving with a uniform acceleration of 3.5 m/s**^{2}. Let T_{1}and T_{2}be the tensions in the supporting cable when the lift is moving upwards and moving downwards respectively. Assuming g = 9.81 m/s^{2}, find the ratio T_{1}/ T_{2}.

(1) 4.50

(2) 1.00

(3) 3.50

(4) 2.10

**Hooke’s law holds good within**

(1) Instability point

(3) Elastic limit

(2) Plastic limit

(4) None of the above

**Strain energy per unit volume stored in the body at its elastic limit is called as**

(1) Resilience

(2) Proof Resilience

(3) Principal Strain

(4) Strain Rosette

**For a beam of circular section, ratio of maximum shear stress to average shear stress is**

(1) ½

(2) 3/2

(3) 4/3

(4) 2

**Which of the following theory gives satisfactory results for ductile materials?**

(1) Maximum strain energy theory

(2) Maximum shear stress theory

(3) Maximum principal stress theory

(4) Distortion energy theory

**In a thin cylindrical shell with hemispherical ends, what is the ratio of wall thickness of cylindrical portion to wall thickness of hemispherical portion for achieving maximum stress to be same in both cylindrical and hemispherical portion?**

(1) 1

(2) 2

(3) 0.5

(4) 1.5

**A helical spring is made of 12 mm diameter steel wire wound on a 120 mm diameter mandrel. If there are 10 active coils, what is the spring constant? Take modulus of rigidity c = 82 GN/m**^{2}.

(1) 24600 N/m

(2) 2300 N/m

(3) 12300 N/m

(4) 4600 N/m

**Which one of the following assumptions is correct for analysis of thick cylinders based on Lame’s theory?**

(1) The material of the cylinder is homogeneous and isotropic

(2) The material of the cylinder is non-homogeneous and isotropic

(3) The material of the cylinder is non-homogeneous, isotropic and does not obey Hooke’s law

(4) None of the above

**When two shafts are connected in parallel, then which of the following statements is true?**

(1) Both shafts are carrying same torque

(2) Total angle of twist at resisting end is sum of the separate angles of twist of two shafts.

(3) The angle of twist in both shafts is same.

(4) None of the above

**While designing a truss, in which material of the following is the factor of safety choosen maximum?**

(1) Cast Iron

(2) Wrought Iron

(3) Timber

(4) Mild Steel

**When the motion between two elements of a pair is possible in more than one direction and depends upon the direction of the force applied, it is known as**

(1) Completely constrained motion

(2) Incompletely constrained motion

(3) Successfully constrained motion

(4) None of the above

**The rate of change velocity along the radial direction is known as**

(1) Tangential acceleration

(2) Centripetal acceleration

(3) Coriolis acceleration

(4) None of the above

**The circle drawn to the cam profile with minimum radius is called the**

(1) Prime circle

(2) Pitch circle

(3) Base circle

(4) Cam circle

**A shaft runs at 80 rpm and drives another shaft at 150 rpm through belt drive. The diameter of the driving pulley is 600 mm. Determine the diameter of the driven pulley taking belt thickness as 5 mm.**

(1) 305 mm

(2) 307 mm

(3) 317.7 mm

(4) 307.7 mm

**In case of multi-plate friction clutch, if n is the total number of plates on both driving and driven members, the number of active friction surfaces is**

(1) 2n

(2) n

(3) 2 (n- 1)

(4) n-1

**In a spring mass system, if the mass is halved and the spring stiffness is doubled, the natural frequency is**

(1) Halved

(2) Doubled

(3) Unchanged

(4) Quadrupled

**ASME code for shaft design is based on which one of the following theories of failure?**

(1) Maximum principal stress theory

(2) Distortion energy theory

(3) Maximum strain theory

(4) Maximum shear stress theory

**A clutch has external and internal diameters of 100 mm and 50 mm respectively. Assume uniform pressure of 2 MPa and coefficient of friction 0.4. The torque transmitting capacity of the clutch will be**

(1) 183 Nm

(2) 284 Nm

(3) 150 Nm

(4) 200 Nm

**A spur gear transmits 10 kW at a pitch line velocity of 10 m/s, driving gear has diameter of 1 m. The tangential force between the driver and the follower and transmitted torque respectively will be as follows:**

(1) 1 kN and 0.5 kNm

(2) 10 kN and 5 kNm

(3) 0.5 kN and 0.25 kNm

(4) 1 kN and 1 kNm

**A plate clutch consists of 1 pair of contacting surfaces. The inner and out. Diameter of the friction disk is 100 mm and 200 mm respectively. The coefficient of friction is 0.2 and permissible intensity of pressure is 1.5 N/mrn2. Assuming uniform wear theory, calculate the axial force required to engage the clutch.**

(1) 15546 N

(2) 12344 N

(3) 23562 N

(4) 24543 N

**Maximum efficiency of a square threaded power screw for friction angle of 30 degree is**

(1) 33%

(2) 50%

(3) 45%

(4) 66%

**The strength of transverse fillet weld is ________ times the strength of parallel fillet weld.**

(1) 1.17

(2) 1.27

(3) 2.17

(4) 2.27

**A square matrix in which all the elements below the principal diagonal are zero, is**- Hermitian matrix and Skew Hermitian matrix.
- Upper triangular matrix.
- Lower triangular matrix.
- Unitary matrix.

(1) Only a, b and c

(3) Only c

(2) Only b

(4) Only b and c

**Three cities, A, B and C are equidistant from each other. A motorist travels from A to B at 30 Mr, from B to C at 40 km/hr, from C to A at 50 km/hr. Determine average speed.**

(1) 34.5 km/hr

(2) 38.3 km/hr

(3) 40 km/hr

(4) 45.3 km/hr

**A five figure number is formed by the digits 0, 1, 2, 3 and 4 without repetition. Find the probability that the number formed is divisible by 4.**

(1) 5/16

(2) 3.5

(3) 4/5

(4) 1/32