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

Massless Rigid Rod

Choices

Choice (4)Response

a.

b.

c.

d.

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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

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Question 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

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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.

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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

Coordinates of the Vertex

Choices

Choice (4)Response

a.

(5.5,7.9)

b.

(7.9,5.5)

c.

(3.2,4.6)

d.

(4.6,2.8)

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