GATE ME 2021 Set 2 — Question 43

Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.
MCQ+2 / -0.67HardMagnification & TransmissibilityForced VibrationTheory of Machines & VibrationsVibration Isolation

Theory of Machines & Vibrations → Forced Vibration → Magnification & Transmissibility

Last updated

Question

A machine of mass 100 kg is subjected to an external harmonic force with a frequency of 40 rad/s. The designer decides to mount the machine on an isolator to reduce the force transmitted to the foundation. The isolator can be considered as a combination of stiffness (KK) and damper (damping factor, ζ\zeta) in parallel. The designer has the following four isolators:
1) K=640 kN/m,ζ=0.70K = 640 \text{ kN/m}, \zeta = 0.70
2) K=640 kN/m,ζ=0.07K = 640 \text{ kN/m}, \zeta = 0.07
3) K=22.5 kN/m,ζ=0.70K = 22.5 \text{ kN/m}, \zeta = 0.70
4) K=22.5 kN/m,ζ=0.07K = 22.5 \text{ kN/m}, \zeta = 0.07Arrange the isolators in the ascending order of the force transmitted to the foundation.
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 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 Forced Vibration