1
GATE ME 2025
Numerical
+1
-0
A block of mass 1 kg connected to a spring of stiffness $10 \mathrm{~N} \mathrm{~m}^{-1}$ is operating in a viscous medium such that the damping ratio (or damping factor) is equal to the ratio of the damped frequency to the natural frequency. The magnitude of the damping ratio for this system is ________ (rounded off to 2 decimal places).
Your input ____
2
GATE ME 2025
MCQ (Single Correct Answer)
+2
-0.67

The system shown in the figure below consists of a cantilever beam (with flexural rigidity El and negligible mass), a spring (with spring constant $K$ and negligible mass) and a block of mass $m$. Assuming a lumped parameter model for the system, the fundamental natural frequency $\left(\omega_n\right)$ of the system is

GATE ME 2025 Theory of Machines - Vibrations Question 1 English
A
$\sqrt{\frac{\frac{3 E I}{L^3}+K}{m}}$
B
$\sqrt{\frac{\frac{E l}{L^3}+K}{m}}$
C
$\sqrt{\frac{\frac{3 E I}{L^3}+K}{2 m}}$
D
$\sqrt{\frac{\frac{E l}{L^3}+K}{2 m}}$
3
GATE ME 2025
Numerical
+2
-0

An offset slider-crank mechanism is shown in the figure below. The length of the stroke of the slider is ________ mm (rounded off to nearest integer).

GATE ME 2025 Theory of Machines - Analysis of Plane Mechanisms Question 1 English
Your input ____
4
GATE ME 2025
MCQ (Single Correct Answer)
+1
-0.33

Air inside a rigid, thermally-insulated tank undergoes stirring as shown in the figure below. Which one of the following options is correct?

GATE ME 2025 Thermodynamics - Second Law of Thermodynamics Question 2 English
A
The enthalpy of the air increases while the entropy of the air remains constant
B
Both the enthalpy and the entropy of the air remain constant
C
Both the enthalpy and the entropy of the air increase
D
The enthalpy of the air decreases while the entropy of the air increases
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