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

Access detailed explanations (illustrated with images and videos) to **314** questions. Access all new questions- tracking exam pattern and syllabus. View the complete topic-wise distribution of questions. *Unlimited Access, Unlimited Time, on Unlimited Devices*!

View Sample Explanation or View Features.

Rs. 250.00 -OR-

How to register? Already Subscribed?

## Question 20

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

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

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

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. |