# Applied Mechanics and Design [GATE (Graduate Aptitude Test in Engineering) Mechanical Engineering]: Questions 4 - 8 of 82

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## Question 4

Applied Mechanics and Design
Gear Trains and Flywheels

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?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 5

Applied Mechanics and Design
Free Body Diagrams

Appeared in Year: 2015

### Question

A ball of mass , initially at rest, is dropped from height of . Ball hits the ground and bounces off the ground. Upon impact with the ground, the velocity reduces by . The height (in m) to which the ball will rise is

## Question 6

Applied Mechanics and Design
Trusses and Frames

Appeared in Year: 2015

### Question

MCQ▾

For the truss shown in figure, the magnitude of the force in member and the support reaction at are respectively

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 7

Applied Mechanics and Design
Torsion of Circular Shafts

Appeared in Year: 2015

### Question

Consider a stepped shaft subjected to a twisting moment applied at B as shown in the figure. Assume shear modulus, G = 77 GPa. The angle of twist at C (in degrees) is

## Question 8

Applied Mechanics and Design
Stress and Strain

Appeared in Year: 2015

### Question

MCQ▾

A machine element is subjected to the following bi-axial state of stress: ; ; . If the shear strength of the material is , the factor of safety as per Tresca՚s maximum shear stress theory is

### Choices

Choice (4)Response

a.

3.3

b.

1.0

c.

2.0

d.

2.5

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