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GATE ME 2019: Topper's Quiz-4

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Question 1

A 6 mm thickness MS plate is cut in a shearing machine and the length of cut is 500 mm. The shear strength of the material is 300 MPa. The force required if the cutting blade is inclined at 1.5 degree and percentage penetration is 40% will be ____kN.

Question 2

A 40 mm diameter rod is to be turned on a lathe at a cutting speed of 30 m/min. The required spindle speed should be approximately:

Question 3

For a bar subjected to moment M = 10x² + 21x +20, find the shear force acting on the body at x=0

Question 4

A slender rod weighing 140 N is held by a frictionless pin at A and by a spring having a spring constant of 8.80 N/mm at B. The natural frequency of oscillation for small vibrations will be ______ Hz.

Question 5

Calculate the heat flow to or from the cylinder of an air motor cylinder the compressed air has an internal energy of 500 kJ /kg at the beginning of the expansion and an internal energy of 250 kJ /kg after expansion. If the work done by the air during the expansion is 130 kJ /kg,

Question 6

For an Oldham coupling used between two shafts, which among the following statements are correct?
I. Torsional load is transferred along shaft axis.
II. A velocity ratio of 1:2 between shafts is obtained without using gears
III. Bending load is transferred transverse to shaft axis.
IV. Rotation is transferred along shaft axis.

Question 7

A sprue in a sand mould has a top diameter of 20mm and height of 200mm. The velocity of the molten metal at the entry of the sprue is 0.5m/s. Assume acceleration due to gravity as 9.8 m/s2 and neglect all losses. If the mould is well ventilated, the velocity (upto 3 decimal points accuracy) of the molten metal at the bottom of the sprue is ________ m/s.

Question 8

An initially stress-free massless elastic beam of length L and circular cross-section with diameter d (d << L) is held fixed between two walls as shown. The beam material has Young‟s modulus E and coefficient of thermal expansion

If the beam is slowly and uniformly heated, the temperature rise required to cause the beam to buckle is proportional to

Question 9

A thin uniform rigid bar of length L and mass M is hinged at point O, located at a distance of

from one of its ends. The bar is further supported using springs, each of stiffness k, located at the two ends. A particle of mass

is fixed at one end of the bar, as shown in the figure. For small rotations of the bar about O, the natural frequency of the systems is.

Question 10

Mean blade speed of a simple impulse steam turbine is 190 m/sec. Nozzle angle is 20 °. Steam velocity from nozzle is 600 m/sec. Absolute velocity at exit is axial. Power output of steam per kg of steam is _____________ kJ.

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