GATE CE 2022 Set 2 — Question 37

Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.
MCQ+2 / -0.67EasyNatural FrequencyEnergy Methods & VibrationsStructural EngineeringSpring-Mass Systems

Structural Engineering → Energy Methods & Vibrations → Natural Frequency

Last updated

Question

An undamped spring-mass system with mass mm and spring stiffness kk is shown in the figure. The natural frequency and natural period of this system are ω\omega rad/s and TT s, respectively. If the stiffness of the spring is doubled and the mass is halved, then the natural frequency and the natural period of the modified system, respectively, are
An undamped spring-mass system with a spring of stiffness $k$ attached to a fixed support and a mass $m$ at the bottom.
Your answer

Choose one option, then check your answer.

The solution stays hidden until you check.

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 CE 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 Energy Methods & Vibrations