Circular Motion: Coefficient of Static Friction, u=0.2, Angular Speed, w

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SUMMARY

The discussion focuses on the dynamics of a slider on an inclined rod rotating with a constant angular speed, specifically analyzing the effects of static friction with a coefficient of u=0.2. Key calculations include the acceleration of the slider, determined to be 0.52w², and the maximum angular speed before slipping occurs, calculated as 4.07 rad/s. Additionally, the tangential contact force exerted by the rod on the slider when the angular speed increases at 10 rad/s² is found to be 5.2 N. The conversation emphasizes the importance of understanding the forces acting on the slider, particularly the role of normal and frictional forces in circular motion.

PREREQUISITES
  • Understanding of circular motion dynamics
  • Knowledge of static friction and its coefficient
  • Familiarity with free body diagrams
  • Basic principles of Newton's laws of motion
NEXT STEPS
  • Study the derivation of centripetal acceleration in circular motion
  • Learn about the effects of angular acceleration on frictional forces
  • Explore the relationship between normal force and friction in inclined planes
  • Investigate the dynamics of banked curves in vehicle motion
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Students and educators in physics, particularly those focusing on mechanics, as well as engineers and professionals involved in designing systems that incorporate rotational motion and frictional dynamics.

  • #31
Latios1314 said:
But back to the case of the inclined rod, can i say that
nsin60=mg?

Tried it. But the answer wasn't right. Could you tell me why?
Of course it's not right, as I've been saying since my first post. Why do you think it's right? (For my reasons, reread this thread.)
 
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  • #32
Reread it.
But i still don't really get it.

There is a resultant centripetal force pointing towards the centre and thus there is a centripetal acceleration pointing towards the centre. The forces along BC is caused by friction and a component of the slider's weight mgcos60.

But how is it different from a car on a banked road?

In the case of a car on a banked road.

ncosθ=mg. It is a component of the normal force ncosθ=mg

but why doesn't a component of the normal force=mg here?
 
Last edited:
  • #33
Latios1314 said:
But how is it different from a car on a banked road?
It's very similar.
but why doesn't a component of the normal force=mg here?
It does. You are confusing ncosθ = mg with n = mgcosθ. Big difference!
 
  • #34
i mean for the case of a car on a banked road.

ncosθ = mg

But why doesn't nsinθ = mg for the case of the slider?
 
  • #35
Latios1314 said:
i mean for the case of a car on a banked road.

ncosθ = mg

But why doesn't nsinθ = mg for the case of the slider?
Because there is friction. To get an equation for the vertical forces you must include all vertical force components. Friction will have a vertical component.

For the car on a banked road, ncosθ = mg only if there is no friction.
 

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