GATE ME 2017 Set 2 — Question 6
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67EasySDOF Free VibrationFree VibrationTheory of Machines & VibrationsUndamped Free Vibration
Theory of Machines & Vibrations → Free Vibration → SDOF Free Vibration
Last updated
Question
A mass is attached to two identical springs having spring constant as shown in the figure. The natural frequency of this single degree of freedom system is
Correct answer
(A) √((2k)/(m))
Solution
The two springs are connected in parallel to the mass .
For springs in parallel, the equivalent spring constant is the sum of individual spring constants:
The natural frequency of a single degree of freedom mass-spring system is given by:
Substituting :
For springs in parallel, the equivalent spring constant is the sum of individual spring constants:
The natural frequency of a single degree of freedom mass-spring system is given by:
Substituting :
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE ME question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Free Vibration
2026 Set 1 Q17A gear train with five gears is shown in the figure below. The number of teeth on each gear is…2026 Set 1 Q18In a single degree of freedom vibrating system with only viscous damping, the critical damping…2026 Set 1 Q20The rotor of an aeroplane engine has a mass moment of inertia . The engine…2026 Set 1 Q22Worm gearsets are used for transmitting rotary motion between2026 Set 1 Q42A 5 kg mass is suspended at the free end of an overhanging massless beam, having a pin support and…