Engineering Mathematics [GATE (Graduate Aptitude Test in Engineering) Mechanical Engineering (ME)]: Questions 11 - 15 of 101
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Question 11
Appeared in Year: 2015
Question MCQ▾
Considering massless rigid rod and small oscillations, the natural frequency (in rad/s) of vibration of the system shown in the figure is
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 12
Appeared in Year: 2015
Question Numeric Answer▾
A swimmer can swim 10 km in 2 hours when swimming along the flow of a river. While swimming against the flow, she takes 5 hours for the same distance. Her speed in still water (in km/h) is
EditQuestion 13
Appeared in Year: 2015
Question MCQ▾
Given two complex numbers and the argument of in degrees is
Choices
Choice (4) | Response | |
---|---|---|
a. | 0 | |
b. | 90 | |
c. | 30 | |
d. | 60 |
Question 14
Appeared in Year: 2016
Question MCQ▾
The value of the integral
evaluated using contour integration and the residue theorem is
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 15
Appeared in Year: 2016
Question MCQ▾
The figure below represents a triangle PQR with initial coordinates of the vertices The triangle is rotated in the X-Y plane about the vertex P by angle in clockwise direction. If and , the new coordinates of the vertex Q are
Choices
Choice (4) | Response | |
---|---|---|
a. | (5.5,7.9) | |
b. | (7.9,5.5) | |
c. | (3.2,4.6) | |
d. | (4.6,2.8) |