GATE 2020 Toppers quiz 4 (App update required to attempt this test)

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.

A steady laminar boundary layer is formed over a flat plate as shown in the figure. The free stream velocity of the fluid is U_o. The velocity profile at the inlet a-b is uniform, while that at a downstream location c-d is given by u = U_o.

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 ___________

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?

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

Marks obtained in a particular subject by students of a class are given in the table below :

Calculate the modal marks.

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?

On cooling, a solid phase and liquid phase together form in solid phase during __________ reaction.

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 ____.