GATE ME · 2020 · ME
Question 31: Vibrations
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Question 31
MEMCQ2 marksNeeds review
A rigid mass-less rod of length
is connected to a disc (pulley) of mass
and radius
through a friction-less revolute joint. The other end of that rod is attached to a wall through a friction-less hinge. A spring of stiffness
is attached to the rod at its mid-span. An inextensible rope passes over half the disc periphery and is securely tied to a spring of stiffness
at point C as shown in the figure. There is no slip between the rope and the pulley. The system is in static equilibrium in the configuration shown in the figure and the rope is always taut.
Neglecting the influence of gravity, the natural frequency of the system for small amplitude vibration is
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2020ME
GATE ME 2020 · Paper 1
Mechanical Engineering · Original paper archive
- Section
- Mechanical Engineering
- Question type
- Multiple choice (MCQ)
- Marks
- 2 marks
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