Mechanical Engineering Gate 2016 Set-2 Questions with Answer

Ques 40 GATE 2016 SET-2

In an ultrasonic machining (USM) process, the material removal rate (MRR) is plotted as a function of the feed force of the USM tool. With increasing feed force, the MRR exhibits the following behavior:

Ques 41 GATE 2016 SET-2

Gray cast iron blocks of size 100 mm x 50 mm x 10 mm with a central spherical cavity of diameter 4 mm are sand cast. The shrinkage allowance for the pattern is 3%. The ratio of the volume of the pattern to volume of the casting is ________.

Ques 42 GATE 2016 SET-2

The voltage-length characteristic of a direct current arc in an arc welding process is V = (100 + 40l), where l is the length of the arc in mm and V is arc voltage in volts. During a welding operation, the arc length varies between 1 and 2 mm and the welding current is in the range 200-250 A. Assuming a linear power source, the short circuit current is ________ A.

Ques 43 GATE 2016 SET-2

For a certain job, the cost of metal cutting is Rs. 18C/V and the cost of tooling is Rs. 270C/(TV), where C is a constant, V is the cutting speed in m/min and T is the tool life in minutes. The Taylor's tool life equation is VT^0.25 = 150. The cutting speed (in m/min) for the minimum total cost is ________.

Ques 44 GATE 2016 SET-2

The surface irregularities of electrodes used in an electrochemical machining (ECM) process are 3 μm and 6 μm as shown in the figure. If the work-piece is of pure iron and 12V DC is applied between the electrodes, the largest feed rate is ________ mm/min. Conductivity of the electrolyte: 0.02 ohm^-1mm^-1, Over-potential voltage: 1.5 V, Density of iron: 7860 kg/m³, Atomic weight of iron: 55.85 gm. Assume the iron to be dissolved as Fe⁺² and the Faraday constant to be 96500 Coulomb.

Ques 45 GATE 2016 SET-2

In the phase diagram shown in the figure, four samples of the same composition are heated to temperatures marked by a, b, c and d. At which temperature will a sample get solutionized the fastest?

Ques 46 GATE 2016 SET-2

In a binary system of A and B, a liquid of 20% A (80% B) is coexisting with a solid of 70% A (30% B). For an overall composition having 40% A, the fraction of solid is

Ques 47 GATE 2016 SET-2

A shaft with a circular cross-section is subjected to pure twisting moment. The ratio of the maximum shear stress to the largest principal stress is

Ques 48 GATE 2016 SET-2

A thin cylindrical pressure vessel with closed-ends is subjected to internal pressure. The ratio of circumferential (hoop) stress to the longitudinal stress is

Ques 49 GATE 2016 SET-2

A machine element XY, fixed at end X, is subjected to an axial load P, transverse load F, and a twisting moment T at its free end Y. The most critical point from the strength point of view is

Ques 50 GATE 2016 SET-2

A rigid horizontal rod of length 2L is fixed to a circular cylinder of radius R as shown in the figure. Vertical forces of magnitude P are applied at the two ends as shown in the figure. The shear modulus for the cylinder is G and the Young's modulus is E.

Ques 51 GATE 2016 SET-2

A simply supported beam of length 2L is subjected to a moment M at the mid-point x=0 as shown in the figure. The deflection in the domain 0 ≤ x ≤ L is given by

Ques 52 GATE 2016 SET-2

In the figure, the load P = 1 N, length L = 1 m, Young's modulus E = 70 GPa, and the cross-section of the links is a square with dimension 10 mm x 10 mm. All joints are pin joints.