Blocks on turntable with friction = hard problem

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SUMMARY

The discussion centers on a physics problem involving two blocks tied together on a spinning turntable. The inner block is positioned 4 cm from the center, while the outer block is 5 cm away. The coefficient of static friction is given as µs = 0.71. The maximum angular frequency calculated for the blocks to avoid sliding is 12.4 rad/s. The user seeks assistance in calculating the tension in the string when the blocks have a mass of 34 g each, based on the previously determined angular frequency.

PREREQUISITES
  • Understanding of angular frequency and its calculation
  • Knowledge of static friction and its coefficient
  • Familiarity with Newton's laws of motion
  • Basic principles of circular motion and tension in strings
NEXT STEPS
  • Calculate the maximum static friction force using the formula F_friction = µs * N, where N is the normal force.
  • Learn how to derive tension in a string using the formula T = m * (r * ω²) for circular motion.
  • Explore the relationship between angular frequency and centripetal force in rotating systems.
  • Review examples of similar problems involving multiple objects on a rotating platform.
USEFUL FOR

Physics students, educators, and anyone interested in understanding dynamics on rotating systems, particularly in the context of friction and tension calculations.

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Two identical blocks are tied together with a string and placed along the same radius of a turntable that is spinning about its center. The inner block is 4 cm from the center and the outer block is 5 cm from the center. The coefficient of static friction between the turntable and the blocks is µs = 0.71, and the string is taut.

a) What is the maximum angular frequency such that neither block slides?

b) Now suppose that the blocks each have a mass m = 34 g. For the value of w you just found, what is the tension in the string?

i worked on part A for a long time and found the answer to be 12.4 rad / s

i am having problems calculating part B, can anyone point me in the right direction, thanks
 
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I get a different answer for part a).

Perhaps you can show your work?
 

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