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GATE 2015 : Mechanical Engineering (Set 2)

9 pages, 55 questions, 43 questions with responses, 50 total responses,

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GATE 2015 SET - 2 MECHANICAL ENGINEERING - ME Q. 1 Q. 25 carry one mark each. Q.1 At least one eigenvalue of a singular matrix is (A) positive Q.2 (B) zero (C) negative (D) imaginary At x = 0, the function f ( x) = | x | has (A) a minimum (C) a point of inflexion Q.3 (B) a maximum (D) neither a maximum nor minimum 2 2 3 Curl of vector V ( x, y, z ) = 2 x i + 3 z j + y k at x= y= z= 1 is (A) 3i Q.4 (B) 3i The Laplace transform of 5 where i= (A) s 5i s 2 25 (B) s + 5i s 2 + 25 (C) 3i 4 j (D) 3i 6k 1, is (C) s + 5i s 2 25 (D) s 5i s 2 + 25 Q.5 Three vendors were asked to supply a very high precision component. The respective probabilities of their meeting the strict design specifications are 0.8, 0.7 and 0.5. Each vendor supplies one component. The probability that out of total three components supplied by the vendors, at least one will meet the design specification is ___________ Q.6 A small ball of mass 1 kg moving with a velocity of 12 m/s undergoes a direct central impact with a stationary ball of mass 2 kg. The impact is perfectly elastic. The speed (in m/s) of 2 kg mass ball after the impact will be ____________ Q.7 A rod is subjected to a uni-axial load within linear elastic limit. When the change in the stress is 200 MPa, the change in the strain is 0.001. If the Poisson s ratio of the rod is 0.3, the modulus of rigidity (in GPa) is ________________ Q.8 A gas is stored in a cylindrical tank of inner radius 7 m and wall thickness 50 mm. The gage pressure of the gas is 2 MPa. The maximum shear stress (in MPa) in the wall is (A) 35 ME (B) 70 (C) 140 (D) 280 1/9

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