GATE ME 2017 Set 1 — Question 47
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0MediumFour-Bar & Slider-CrankMechanisms & LinkagesTheory of Machines & VibrationsVelocity & Acceleration Analysis
Theory of Machines & Vibrations → Mechanisms & Linkages → Four-Bar & Slider-Crank
Last updated
Question
For an inline slider-crank mechanism, the lengths of the crank and connecting rod are m and m, respectively. At the instant when the connecting rod is perpendicular to the crank, if the velocity of the slider is m/s, the magnitude of angular velocity (upto decimal points accuracy) of the crank is ________ radian/s.
Correct answer
0.26 to 0.29
Solution
In an inline slider-crank mechanism, let m be the crank length and m be the connecting rod length. When the connecting rod is perpendicular to the crank, the distance from the crank center to the slider along the line of stroke is:Let be the crank angle and be the connecting rod angle with the line of stroke. From the geometry of the triangle:The velocity of the slider is given by:From the displacement constraint , differentiating with respect to time gives:Substituting into the velocity equation:Given m/s:Rounding to three decimal places, the magnitude of angular velocity is rad/s.
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 Mechanisms & Linkages
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…