A uniform solid square plate ABCD of mass m and side a is moving in x-y horizontal smooth plane. The velocity of centre of mass is v 0 ( 2 i ^ + 4 j ^ ) m / s . The end A of square plate is suddenly fixed by a pin, find the new velocity of centre of mass of square :

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Physics - Rotation Question with Solution | TestHub

PhysicsRotationMiscellaneousMedium3 minCT46

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A uniform solid square plate ABCD of mass m and side a is moving in x-y horizontal smooth plane. The velocity of centre of mass is $v_{0} (2 \hat{i} + 4 \hat{j}) m / s$ . The end A of square plate is suddenly fixed by a pin, find the new velocity of centre of mass of square :

CT46 m6 diagram

Options:

Answer:

Solution:

Use force balance, torque balance and the no-slip or impulse constraint for the shown system.

After substitution and simplification, the marked answer is B.

Stream:JEESubject:PhysicsTopic:RotationSubtopic:Miscellaneous

⏱ 3mℹ️ Source: CT46

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