Physics - Rotation Question with Solution | TestHub

PhysicsRotationMiscellaneousMedium3 minQB
PhysicsMediumsingle choice

Suppose the force F in the cord hanging from the disc is given by the relation (newtons) where t is in seconds. If the wheel starts from rest, what is the linear speed of a point on its rim 3s later ? Mass of disc , Radius of disc .

CT43 m8 diagram

Options:

Answer:
D
Solution:

Disc moment of inertia is I=MR²/2=1/2 kg m².

Angular impulse in 3 s is ∫0³(3t-2t²)dt=-4.5 N m s.

The angular speed magnitude is |ω|=4.5/(1/2)=9 rad/s.

At R=1 m, rim speed is 9 m/s.

Stream:JEESubject:PhysicsTopic:RotationSubtopic:Miscellaneous
⏱ 3mℹ️ Source: QB

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