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GATE ME 2020 National Champion Quiz (App update required to attempt this test)

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Question 1

The deflection of closed coil helical spring under the compressive load is δ_1. If the wire diameter of a closed coil helical spring is made 2 times of initial diameter, the new deflection will be aδ₁. The value of a is ___.

Question 2

Design of shafts made of brittle materials is based on ________.

Question 3

Two gears are said to have a conjugate motion if __________.

Question 4

A single plate clutch is to be designed to transmit 7.5 KW at 900 r.p.m. find the diameter of shaft. The allowable shear stress for the spring wire may be taken as 40 MPa

Question 5

A block brake is shown in the figure, is subjected to braking torsional moment of 500 Nm. What is the position of pivot i.e. the value of a (in mm) for self-locking condition in clockwise direction to occur?
Take coefficient of friction = 0.3

Question 6

Find out the average life L₅₀ of roller bearings in million revolutions when subjected to a radial force of 2500 N and axial load of 2500 N and basic dynamic capacity 22000 N.Take X=1, Y=1.( Enter the answer accurate up to two digits)

Question 7

A multiple disk clutch is composed of 5 steel and 4 bronze disks. The clutch is required to transmit 16 N- m of torque. If the inner diameter is restricted to 50 mm then, the necessary outer diameter of the disks is (Given: coefficient of friction = 0.1 and average pressure = 350 kN/m² Assume uniform wear)

Question 8

A machine component is subjected to a flexural stress, which fluctuates between 300 MN/m² and –150 MN/m². Taking the yield strength = 0.55 of the ultimate strength, endurance strength = 0.50 of the ultimate strength and factor of safety to be 2, the value of the minimum ultimate strength according to Goodman relation will be

Question 9

The path of contact for a spur gear in arrangement with pinion is 19 mm and the pressure angle of the gear is 20

. The module of the gear is 5 mm and the power transmitted by the gear is 5 kW. Find the contact ratio of the gear pair

Question 10

A close-coiled helical spring, made out of a 10 mm diameter steel wire, has 20 complete coils each of mean diameter of 100 mm. A weight of 10 kg is dropped on to the spring, compresses it 60 mm, then height from which the weight is dropped (in mm) will be (take G = 85000 MPa)

Question 11

A single block brake with a short shoe and torque capacity of 250 N-m is shown. The cylindrical brake drum rotates anticlockwise at 100 rpm and the coefficient of friction is 0.25 The value of a, in mm (round off to one decimal place), such that maximum actuating force P is 2000 N, is ____________

Question 12

A single – plate clutch has a friction disc with inner and outer radii of 20 mm and 40 mm, respectively. The friction lining in the disc is made in such a way that the coefficient of friction mvaries radially as m=0.01 r, where r is in mm. The clutch needs to transmit a friction torque of 18.85 kN.mm. As per uniform pressure theory, the pressure (in MPa) on the disc is ________

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ESE & GATE ME Machine Design

Jul 12ESE & GATE ME