# Applied Mechanics and Design [GATE (Graduate Aptitude Test in Engineering) Mechanical Engineering]: Questions 20 - 23 of 82

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## Question 20

Applied Mechanics and Design
Deflection of Beams

Appeared in Year: 2016

### Question

MCQ▾

A cantilever beam having square cross-section of side a is subjected to an end load. If a is increased by , the tip deflection decreases approximately by

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 21

Applied Mechanics and Design
Gear Trains and Flywheels

Appeared in Year: 2016

### Question

MCQ▾

In the gear train shown, gear 3 is carried on arm 5. Gear 3 meshes with gear 2 and gear 4. The number of teeth on gear 2,3, and 4 are 60,20, and 100, respectively. If gear 2 is fixed and gear 4rotates with an angular velocity of 100 rpm in the counterclockwise direction, the angular speed of arm 5 (in rpm) is

### Choices

Choice (4)Response

a.

62.5 counterclockwise

b.

62.5 clockwise

c.

166.7 clockwise

d.

166.7 counterclockwise

## Question 22

Applied Mechanics and Design
Torsion of Circular Shafts

Appeared in Year: 2016

### Question

MCQ▾

The cross sections of two hollow bars made of the same material are concentric circles as shown in the figure. It is given that and , and that the areas of the cross-sections are the same. and are the torsional rigidities of the bars on the left and right, respectively. The ratio is

### Choices

Choice (4)Response

a.

between

b.

c.

d.

## Question 23

Applied Mechanics and Design
Stress and Strain

Appeared in Year: 2016

### Question

MCQ▾

The principal stresses at a point inside a solid object are MPa and . The yield strength of the material is 200 . The factor of safety calculated using Tresca (maximum shear stress) theory is and the factor of safety calculated using von Mises (maximum distortional energy) theory is . Which one of the following relations is TRUE?

### Choices

Choice (4)Response

a.

b.

c.

d.

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