What Is the Least Static Friction Coefficient for a Cat on a Merry-Go-Round?

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SUMMARY

The discussion focuses on calculating the least static friction coefficient required for a cat to remain stationary on a merry-go-round with a radius of 5.4 meters and a rotation period of 7.2 seconds. The centripetal force, derived from the cat's circular motion, must be compared to the gravitational force acting on the cat. The static friction coefficient can be determined by analyzing the ratio of these forces, ensuring the cat does not slide off during the ride.

PREREQUISITES
  • Centripetal force calculations
  • Understanding of gravitational force
  • Basic physics of friction
  • Knowledge of rotational motion
NEXT STEPS
  • Calculate centripetal acceleration using the formula a = v²/r
  • Learn about the relationship between static friction and normal force
  • Explore the concept of angular velocity and its impact on circular motion
  • Investigate the effects of varying radius on static friction coefficients
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Physics students, mechanical engineers, and anyone interested in the dynamics of rotational motion and friction in circular systems.

Vaness330
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Hi can someone help me on this problem.

a cat dozes around merry go round at radius 5.4 meters. the ride turns on and brought up to turning rate of 7.2 seconds in one complete rotation. how do i find the least static friction coefficient between the cat and the merry go round that will allow the cat to stay in place, without sliding out.
 
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Compare the centripetal force to gravitational force (the ratio).
 

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