GATE ME 2015 Set 2 — Question 45
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0MediumVelocity & Acceleration AnalysisMechanisms & LinkagesTheory of Machines & Vibrations
Theory of Machines & Vibrations → Mechanisms & Linkages → Velocity & Acceleration Analysis
Last updated
Question
In a certain slider-crank mechanism, lengths of crank and connecting rod are equal. If the crank rotates with a uniform angular speed of and the crank length is , the maximum acceleration of the slider (in ) is ________
Correct answer
115 to 120
Solution
Given:
Crank length,
Connecting rod length,
Angular speed,
Ratio The acceleration of the slider is given by:Since :To find the maximum acceleration, we differentiate with respect to and set to zero:Possible values for :
1)
At ,
At , 2)
Then
Magnitude is The maximum acceleration is .
The range provided is to .
Crank length,
Connecting rod length,
Angular speed,
Ratio The acceleration of the slider is given by:Since :To find the maximum acceleration, we differentiate with respect to and set to zero:Possible values for :
1)
At ,
At , 2)
Then
Magnitude is The maximum acceleration is .
The range provided is to .
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…