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278
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GATE Mechanical 2026 | Question: 31
Two structural members are connected by a hinge and they are externally loaded as shown in the figure below. A and B are roller supports, and C is a pin support. Neglecti...
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177
177 views
GATE Mechanical 2026 | Question: 32
A $5$ kg mass is suspended at the free end of an overhanging massless beam, having a pin support and a roller support, as shown in the figure below. Young's modulus of th...
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118
118 views
GATE Mechanical 2026 | Question: 33
A very long fin of a uniform square cross-section is replaced by another very long fin of a uniform circular cross-section of the same material. Assume uniform and identi...
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118
118 views
GATE Mechanical 2026 | Question: 34
For an ideal regenerative Rankine cycle, as shown in the figure below, which one of the following options is the correct representation of temperature-entropy (T-s) diagr...
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65
65 views
GATE Mechanical 2026 | Question: 35
Consider the Euler variables of polyhedral objects namely, $\text{P1, P2, P3,}$ and $\text{P4}$ as given in the table below.\[\begin{array}{|c|c|c|c|c|c|c|}\hline\text{Po...
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78
78 views
GATE Mechanical 2026 | Question: 36
An objective function $Z$ of primal variables ( $x_{1}$ and $x_{2}$ ) is described below:\[\begin{array}{ll}\text { Minimize } Z= & 0.07 x_{1}+0.05 x_{2} \\\text { subjec...
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63
63 views
GATE Mechanical 2026 | Question: 37
Four jobs are on order in a factory. As on day $20$ of the production calendar, the corresponding due date and work remaining to complete these jobs (in days) are given i...
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182
182 views
GATE Mechanical 2026 | Question: 38
A block of $50$ kg mass is on an inclined plane. The block is connected to another hanging mass M by an inextensible massless string through two massless pulleys as shown...
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72
72 views
GATE Mechanical 2026 | Question: 39
A simply supported beam is subjected to an external point load P as shown in the figure below. The beam has a rectangular cross-section of $20 \mathrm{~mm} \times 45 \mat...
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169
169 views
GATE Mechanical 2026 | Question: 40
A rigid slender bar, AB, is sliding against two mutually perpendicular frictionless walls, as shown in the figure below. The velocity of A in the downward direction at a ...
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88
88 views
GATE Mechanical 2026 | Question: 41
A cylindrical pressure vessel made of steel has diameter of $3$ m and wall thickness of $15$ mm. For steel, Young's modulus and Poisson's ratio are $210$ GPa and $0.3$, r...
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121
121 views
GATE Mechanical 2026 | Question: 42
A welded square plate of $1 \mathrm{~m} \times 1 \mathrm{~m}$ is subjected to biaxial stress of magnitude $6.5$ MPa and $25$ MPa , as shown in the figure below. The ratio...
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93
93 views
GATE Mechanical 2026 | Question: 43
Water with a density of $1000 \mathrm{~kg} / \mathrm{m}^{3}$ comes out of an industrial condenser through a horizontal pipe of 15 cm radius at the flow rate of $4.5 \math...
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124
124 views
GATE Mechanical 2026 | Question: 44
Two rectangular surfaces both having $1 \mathrm{~m}^{2}$ area are placed perpendicular to each other with a common edge. One surface is hot, having a temperature of $1000...
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75
75 views
GATE Mechanical 2026 | Question: 45
Convective heat transfer coefficients for Fluid $1$ and Fluid $2$ in a heat exchanger, as shown in the figure below, are $50 \mathrm{~W} /\left(\mathrm{m}^{2} \mathrm{~K}...
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159
159 views
GATE Mechanical 2026 | Question: 46
A liquid comes out of the reactor of a chemical plant at $250^{\circ} \mathrm{C}$ temperature with a flow rate of $100$ LPM. The ambient temperature is $25^{\circ} \mathr...
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117
117 views
GATE Mechanical 2026 | Question: 47
A rigid closed vertical cylindrical vessel of $15$ cm diameter contains $5$ kg water at $80^{\circ} \mathrm{C}$ with $10 \%$ quality. The water is heated till its tempera...
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86
86 views
GATE Mechanical 2026 | Question: 48
An inward flow reaction turbine, having an outer diameter of $1$ m, runs at $600$ RPM. The normal component of absolute velocity at the inlet is $10 \mathrm{~m} / \mathrm...
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107
107 views
GATE Mechanical 2026 | Question: 49
In a deep drawing operation of a rectangular sheet metal, $30\%$ stretching in length results in $15\%$ reduction in thickness. Assuming volume constancy, the normal anis...
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75
75 views
GATE Mechanical 2026 | Question: 50
The actual demand for castings in a factory is $500$ units and $635$ units for the months of January $2026$ and February $2026$, respectively. The forecasted demand for J...
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