Centripetal Motion Homework: Determine Angular Velocity, Tension

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SUMMARY

The discussion focuses on solving a centripetal motion homework problem involving two 4.40 kg blocks attached to a 260 cm wire, with the outer block moving at 5.60 m/s. The key equations provided include centripetal acceleration (ac = VT²/r) and force (Fc = mac). To determine the angular velocity of the middle block and the tension in the wire, users are advised to apply the equations of motion and centripetal acceleration to each block individually.

PREREQUISITES
  • Centripetal acceleration concepts
  • Newton's second law of motion (F = ma)
  • Understanding of angular velocity
  • Basic physics of rotational motion
NEXT STEPS
  • Calculate angular velocity using the formula w = v/r
  • Determine tension in the wire using T = m * ac
  • Explore examples of centripetal motion problems
  • Review the relationship between linear and angular velocity
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Students studying physics, particularly those focusing on rotational dynamics and centripetal motion, as well as educators looking for problem-solving strategies in mechanics.

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Homework Statement


Two 4.40 kg blocks of negligible size are attached to the middle and end of a thin, massless, wire that is 260 cm long. The blocks are rotating horizontally on a frictionless horizontal surface. The free-end of the wire is attached to a pivot, and the system is rotated in such a way that the outer block is moving at 5.60 m/s.
(1)What is the angular velocity of the block attached to the middle of the wire?
(2)What is the tension T1 in the wire between the two blocks?
**picture below



Homework Equations


ac=VT2/r=w2r
Fc=mac


The Attempt at a Solution


I haven't really attempted the problem yet since I am unsure of how to start. Any help would be greatly appreciated. Thanks!
 

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ScienceGirl90 said:
I haven't really attempted the problem yet since I am unsure of how to start. Any help would be greatly appreciated.

oh come off it :rolleyes:

you have the equations …

apply F = ma and centripetal acceleration to each block (separately)
 

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