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# BARC 2021 ME: Full Syllabus Test 8

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Question 1

Match List-I (type of gear failure) with List-II (Reasons) select the correct answer using the code given below the lists:
List-I
A). Scoring
B). Pitting
C). Scuffing
D). Plastic flow
List-II
1). Oil film breakage
2). Yielding of surface under heavy loads
3). Cyclic loads causing high surfaces stress
4). Insufficient lubrication

Question 2

A cylinder of diameter 100 mm and height 50 mm is melted and casted into a sphere of uniform density. If the melting time takes 1 min, diameter of sprue base is 5 mm and height of pouring basin is 20 mm, solidification for conversion of factor is 0.97 × 106 s/m2, the total time for conversion of solid cylinder to solid sphere will be ____ s.
[Neglect any time losses]

Question 3

If the equivalent load in case of radial ball bearing is 500 N and the basic dynamic load rating is 62500 N, then life of this bearing is

Question 4

The figure below shows a steel rod of 25 mm2 cross sectional area. It is loaded at four points, K, L, M and N. Assume Esteel =200GPa.The total change in length of the rod due to loading is

Question 5

Water flows through a 10 mm diameter and 250 m long smooth pipe at an average velocity of 0.1 m/s. The density and the viscosity of water are 997 kg/m3 and 855 x 10-6 Ns/m2 respectively. Assuming fully-developed flow, the pressure drop (in Pa) in the pipe is _______.

Question 6

The cause of viscosity in liquid is ________.

Question 7

Mohr’s circle for the state of stress defined by MPa is a circle with

Question 8

A 2-D flow field is defined as . The equation of steamline passing through the point (1,1) is

Question 9

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

Question 10

The integrating factor for the differential equation,
is

Question 11

GO and NO-GO plug gauges are to be designed for a hole mm. Gauge tolerances can be taken as 10% of the hole tolerance. The sizes of GO and NO-GO gauge will be respectively(On the basis of workshop gauge)______.

Question 12

Under logarithmic decrement, the amplitude of successive vibrations are

Question 13

A simple spring-mass vibrating system has a natural frequency of N. If the spring stiffness is halved and the mass is doubled, then the natural frequency will become

Question 14

The shell of a boiler is 2 m in diameter and the plates are 2 cm thick. By how much % the working pressure will be reduced if the efficiency of the joint is 80% as compared to 100% efficiency
[Assume safe working stress for the shell plates as 70 MPa]

Question 15

Given , what will be the evaluation of the definite integral
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