Force in relation to angular momentum

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SUMMARY

The discussion centers on calculating the force required to pull a dumbbell in while sitting on a spinning stool, with a focus on angular momentum and kinetic energy. The initial angular velocity is 3 rad/sec, and the final angular velocity is calculated to be 48 rad/sec. The initial kinetic energy is determined to be 11.52 J, while the final kinetic energy is 184.32 J. The user seeks clarification on whether to use the angular momentum formula or the change in kinetic energy equation to find the required force.

PREREQUISITES
  • Understanding of angular momentum and its conservation
  • Knowledge of kinetic energy calculations in rotational motion
  • Familiarity with torque and its relationship to force and distance
  • Basic principles of rotational dynamics, including moment of inertia
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  • Study the relationship between angular momentum and torque in rotational systems
  • Learn how to apply the conservation of angular momentum in practical scenarios
  • Explore the equations for rotational kinetic energy and their applications
  • Investigate the effects of changing radius on angular velocity and force requirements
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Physics students, educators, and anyone interested in understanding the dynamics of rotational motion and angular momentum in practical applications.

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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