# GATE (Graduate Aptitude Test in Engineering) Mechanical Engineering: Questions 100 - 103 of 170

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## Question 100

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 |

## Question 101

Appeared in Year: *2015*

### Question

MCQ▾Consider fully developed flow in a circular pipe with negligible entrance length effects. Assuming the mass flow rate, density and friction factor to be constant, if the length of the pipe is doubled and the diameter is halved, the head loss due to friction will increase by a factor of

### Choices

Choice (4) | Response | |
---|---|---|

a. | 16 | |

b. | 64 | |

c. | 32 | |

d. | 4 |

## Question 102

Appeared in Year: *2015*

### Question

Numeric Answer▾A precision instrument package needs to be mounted on a surface vibrating at . It is desired that only of the base surface vibration amplitude be transmitted to the instrument. Assume that the isolation is designed with its natural frequency significantly lesser than , so that the effect of damping may be ignored. The stiffness (in ) of the required mounting pad is

## Question 103

Appeared in Year: *2015*

### Question

MCQ▾The Blasius equation related to boundary layer theory is a

### Choices

Choice (4) | Response | |
---|---|---|

a. | third-order linear partial differential equation | |

b. | third-order nonlinear partial differential equation | |

c. | third-order nonlinear ordinary differential equation | |

d. | second-order nonlinear ordinary differential equation |