GATE Engineering - Mechanical Engineering (ME)

Thermodynamics, Fluid Dynamics, Heat Transfer & Strength of Materials question bank (Thermal, Fluid & Applied Mechanics)

Practice 64 free GATE Engineering - Mechanical Engineering (ME) Thermal, Fluid & Applied Mechanics - Thermodynamics, Fluid Dynamics, Heat Transfer & Strength of Materials questions with answers and step-by-step solutions.

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Q1.

Theory of Machines: For a planar mechanism with $n$ links and $j$ binary joints with single degree of freedom in 'Thermodynamics: First and Second Laws, Entropy, Carnot Cycle and Pure Substances', what is Grübler's / Kutzbach mobility criterion?

(A)

$F = 3(n - 1) - 2j - h$ (where $h$ is higher pairs count) (Thermodynamics: First and Second Laws, Entropy, Carnot Cycle and Pure Substances)

(B)

$F = 2(n - 1) - 3j$

(C)

$F = 3n - 2j$

(D)

$F = 3(n - 2) - j$

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Q2.

Strength of Materials (Mohr's Circle): At a point in a loaded mechanical component in 'Thermodynamics: First and Second Laws, Entropy, Carnot Cycle and Pure Substances', principal stresses are $\sigma_1 = 120\text{ MPa}$ (tensile) and $\sigma_2 = -40\text{ MPa}$ (compressive). What is the maximum shear stress $\tau_{\max}$?

(A)

$80\text{ MPa}$ ($\tau_{\max} = \frac{\sigma_1 - \sigma_2}{2} = \frac{120 - (-40)}{2} = \frac{160}{2} = 80\text{ MPa}$) (Thermodynamics: First and Second Laws, Entropy, Carnot Cycle and Pure Substances)

(B)

$40\text{{ MPa}}$

(C)

$60\text{{ MPa}}$

(D)

$160\text{{ MPa}}$

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