GATE (Graduate Aptitude Test in Engineering) Mechanical Engineering: Questions 86 - 89 of 170

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Question 86

First Order and Higher Order Linear Differential Equations

Appeared in Year: 2015

Question

Numeric Answer▾

Consider a spatial curve in three-dimensional space given in parametric form by

The length of the curve is

Question 87

Appeared in Year: 2015

Question

MCQ▾

A pinion with radius , and inertia is driving a gear with radius and inertia . Torque is applied on pinion. The following are free body diagrams of pinion and gear showing important forces of interaction. Which of the following relations hold true?

Angular Displacement

Choices

Choice (4)Response

a.

b.

c.

d.

Question 88

System of Linear Equations

Appeared in Year: 2015

Question

Numeric Answer▾

Consider an ant crawling along the curve , where and are in meters. The ant starts at the point (4,0) and moves counterclockwise with a speed of 1.57 meters per second. The time taken by the ant to reach the point (2,2) is (in seconds) ________

Question 89

Appeared in Year: 2015

Question

Match List-Ⅰ List-Ⅱ▾

Match the following products with preferred manufacturing processes:

List-Ⅰ (Product)List-Ⅱ (Process)
(A)

Rails

(i)

Forging

(B)

Aluminum channels

(ii)

Extrusion

(C)

Engine crankshaft

(iii)

Blow molding

(D)

PET water bottles

(iv)

Rolling

Choices

Choice (4)Response
  • (A)
  • (B)
  • (C)
  • (D)

a.

  • (iii)
  • (ii)
  • (i)
  • (iv)

b.

  • (i)
  • (iv)
  • (iii)
  • (ii)

c.

  • (iv)
  • (ii)
  • (i)
  • (iii)

d.

  • (ii)
  • (iv)
  • (iii)
  • (i)

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