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?

Angular Displacement

Choices

Choice (4)Response

a.

b.

c.

d.

Question 5

Applied Mechanics and Design
Free Body Diagrams

Appeared in Year: 2015

Question

Numeric Answer▾

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

Trusses and Frames

Choices

Choice (4)Response

a.

b.

c.

d.

Question 7

Applied Mechanics and Design
Torsion of Circular Shafts

Appeared in Year: 2015

Question

Numeric Answer▾

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

All Dimensions in Mm

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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