GATE ME 2020 Set 2 — Question 16
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33MediumKinematics of Rigid BodiesDynamicsEngineering MechanicsInstantaneous Center of Rotation
Engineering Mechanics → Dynamics → Instantaneous Center of Rotation
Last updated
Question
A circular disk of radius is confined to roll without slipping at P and Q as shown in the figure.
If the plates have velocities as shown, the magnitude of the angular velocity of the disk is
Correct answer
(D) (3v)/(2r)
Solution
Let the angular velocity of the disk be (clockwise) and the velocity of its center be (to the right). Since the disk rolls without slipping at points P and Q:
1.At point P (top contact): The velocity of the disk must match the velocity of the top plate, which is to the left.
2.At point Q (bottom contact): The velocity of the disk must match the velocity of the bottom plate, which is to the right.
Subtracting the first equation from the second:Thus, the magnitude of the angular velocity is .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 Dynamics
2026 Set 1 Q16A horizontal disk has a radial frictionless slot in which a small block is confined to slide. The…2026 Set 1 Q29A hydraulic crane supports a mass of with its piston-cylinder actuator, inclined at…2026 Set 1 Q41Two structural members are connected by a hinge and they are externally loaded as shown in the…2026 Set 1 Q48A block of kg mass is on an inclined plane. The block is connected to another hanging mass …2026 Set 1 Q50A rigid slender bar, AB, is sliding against two mutually perpendicular frictionless walls, as shown…