GATE ME 2017 question paper — Paper 2

Two coins are tossed simultaneously. The probability (upto two decimal points accuracy) of getting at least one head is .

The divergence of the vector is .

The determinant of a 2×2 matrix is 50. If one eigenvalue of the matrix is 10, the other eigenvalue is .

A sample of 15 data is as follows: 17, 18, 17, 17, 13, 18, 5, 5, 6, 7, 8, 9, 20, 17, 3. The mode of the data is

The Laplace transform of is

A mass is attached to two identical springs having spring constant as shown in the figure . The natural frequency of this single degree of freedom system is

The state of stress at a point is and . The maximum normal stress (in MPa) at that point is

For a loaded cantilever beam of uniform cross-section, the bending moment (in N·mm) along the length is , where is the distance (in mm) measured from the free end of the…

A cantilever beam of length and flexural modulus is subjected to a point load at the free end. The elastic strain energy stored in the beam due to bending (neglecting tr…

A steel bar is held by two fixed supports as shown in the figure and is subjected to an increase of temperature . If the coefficient of thermal expansion and Young’s mod…

A machine component made of a ductile material is subjected to a variable loading with and . If the corrected endurance limit and the yield strength for the material are…

In a slider-crank mechanism, the lengths of the crank and the connecting rod are 100 mm and 160 mm, respectively. The crank is rotating with an angular velocity of 10 ra…