Force in relation to angular momentum

AI Thread Summary
The discussion focuses on calculating the force required for a student on a spinning stool to pull in dumbbells while maintaining a constant speed. The initial angular velocity is 3 rad/sec, and the final angular velocity is calculated to be 48 rad/sec after pulling the arms from 80cm to 20cm. Initial kinetic energy is noted as 11.52 J, with a final kinetic energy of 184.32 J. The user is unsure whether to use the angular momentum or kinetic energy equations to find the force and is considering torque relationships. The conversation emphasizes the need for clarity on the correct approach to solving the problem.
valvan1
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so a student is sitting on a spinning stool and has a 2kg dumbbell in each hand angular velocity is 3rad/sec arms stretched out is a radius of 80cm and he pulls in his arms to 20cm. for this problem your ignoring the students weight.

from other problems i have figured out
so angular velocity to start with is 3 rad/sec
angular velocity final is 48 rad/sec

kinetic energy initial is 11.52( don't know what dimensions this is I am guessing J)
kinetic energy final is 184.32

and i need to find the force required to pull on of the dumbells in at a constant speed is equal to F=((initial angular momentum of 1 block)^2)/(4*Mass of one weight*Radius^3)) or do i use the change in kinetic energy equation ?

do i say Torque=F*d and Torque=I*alpha and then go Force = Ia/d? or is there another way to solve this that I am not seeing ?
 
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sorry i posted it again in the homework section so you can delete this one, sorry about that
 
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