Rotational motion, find the frictional force.

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SUMMARY

The discussion focuses on calculating the frictional force acting on a 350-g collar sliding on a semicircular rod rotating at a constant rate of 7.5 rad/s. The coefficients of static and kinetic friction are μs = 0.25 and μk = 0.20, respectively. The user attempted to solve the problem by considering the rotational and gravitational forces, but received an incorrect answer from the McGraw Hill program. The correct approach involves accurately applying the equations for tangent velocity and normal acceleration to determine the frictional force.

PREREQUISITES
  • Understanding of rotational motion dynamics
  • Familiarity with friction coefficients (static and kinetic)
  • Knowledge of forces acting on objects in circular motion
  • Ability to apply Newton's laws of motion
NEXT STEPS
  • Review the equations for tangent velocity and normal acceleration in rotational motion
  • Study the principles of static and kinetic friction in detail
  • Practice problems involving forces on objects in circular motion
  • Explore the use of simulation software for visualizing rotational dynamics
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Students studying physics, particularly those focusing on mechanics and rotational motion, as well as educators seeking to enhance their teaching methods in these topics.

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Homework Statement


A small 350-g collar C can slide on a semicircular rod which is made to rotate about the vertical AB at a constant rate of 7.5 rad/s. The coefficients of friction are μs = 0.25 and μk = 0.20.
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Homework Equations


Tangent Velocity= Radians*radius
Normal acceleration an= Vt^2/radius

The Attempt at a Solution


20150920_210516_2.jpg
 
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Basically the collar has two forces acting on it. The rotational force and the gravitational force. I used the y-axis for the force components parallel/opposite to the normal force and multiplied the normal force by the kinetic friction which should have given me the frictional force. But the computer program I'm using (Mcgraw hill) says my answer is wrong.
 

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