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GATE 2020 Toppers quiz 4 (App update required to attempt this test)
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Question 1
The state of stress at a point in a component is represented by a Mohr’s circle of radius 100 MPa centered at 200 MPa on the normal stress axis. On a plane passing through the same point, the normal stress is 260 MPa. The magnitude of the shear stress on the same plane at the same point is ___________ MPa.
Question 2
A steady laminar boundary layer is formed over a flat plate as shown in the figure. The free stream velocity of the fluid is Uo. The velocity profile at the inlet a-b is uniform, while that at a downstream location c-d is given by u = Uo.
The ratio of the mass flow rate, 𝑚𝑏, leaving through the horizontal section b-d to that entering through the vertical section a-b is ___________
The ratio of the mass flow rate, 𝑚𝑏, leaving through the horizontal section b-d to that entering through the vertical section a-b is ___________
Question 3
Two very large parallel plates have emissivities = 0.5 and = 0.9. the plates are maintained at uniform temperatures of = 600K and = 400K. What will be the net rate of radiation heat transfer between the two surfaces per unit area of the plates?
Question 4
A machine shop wishes to manage the two parts. For which it uses a LPP, so find the maximum of value of Floor space. Equations derived are as follows;
S = 5x + 4y
Subject to
4x + 9y ≤ 120
10x + 8y ≤ 200
x, y ≥ 0
Question 5
Marks obtained in a particular subject by students of a class are given in the table below :
Calculate the modal marks.
Question 6
In a orthogonal turning operation the chip thickness, ratio is 0.5 and the rake angle, is 10.What is the coefficient of friction for minimum power consumption?
Question 7
On cooling, a solid phase and liquid phase together form in solid phase during __________ reaction.
Question 8
The ratio of the inside diameter to the outside diameter for maximum torque transmitting capacity for old brake
Question 9
An epicyclic gear train is shown schematically in the adjacent figure
The sun gear 2 on the input shaft is a 20 teeth external gear. The planet gear 3 is a 40 teeth external gear. The ring gear 5 is a 100 teeth internal gear. The ring gear 5 is fixed and the gear 2 is rotating at 80 r.p.m ccw (ccw=counter-clockwise and cw =clockwise).
Then arm attached to the output shaft will rotate at ____.
Question 10
In a machining operation, chip thickness ratio is 0.8 and back rake angle of the tool is 10 degree. What is the value of shear strain is
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ESE & GATE MEGeneralOct 23ESE & GATE ME