Centripetal Force: Solving with Tension in a Cylinder

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SUMMARY

The discussion centers on solving a physics problem involving centripetal force and tension in a cylindrical ride. Participants clarify that the tension provides the necessary centripetal force directed toward the center of the cylinder. Key equations discussed include the relationship between frictional force and gravitational force, expressed as μF_C = F_g, leading to the formula ω = √(g/μr) for angular velocity. The importance of drawing a free body diagram to visualize the forces acting on a person in the ride is emphasized.

PREREQUISITES
  • Understanding of centripetal force and its application in circular motion
  • Familiarity with free body diagrams and vector representation of forces
  • Knowledge of angular velocity and its relationship to linear velocity
  • Basic grasp of frictional force and its dependence on normal force
NEXT STEPS
  • Study the derivation of centripetal force equations in circular motion
  • Learn how to construct and analyze free body diagrams for complex systems
  • Explore the relationship between angular frequency and frequency in rotational dynamics
  • Investigate the effects of friction on motion in circular paths
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators seeking to clarify concepts of centripetal force and tension in practical applications.

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Homework Statement


http://img147.imageshack.us/img147/7830/scan0001ym3.png





The Attempt at a Solution



A)
i think force of Tension give them necessary centripetal force directed toward the center of the cylinder.

C)
Centripetal Force

Plz help me
 
Last edited by a moderator:
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Can Any One Help Me?
 
I Am Wating From Last Hour
 
Plz Help Me
 
Plz Help Me
 
Can Any One Help Me?
 
First, please, please, do not self bump like this.
Second, for part A it is asking what physical object is exerting the force.
Part B: If the riders vertical velocity is zero (they're not falling or rising) and that doesn't change, what must be true of their acceleration and thus the vertical force?
Part C: Centripetal force is perpendicular to gravity here. Think what is happening between the person and the ride. (Read Part E for a hint)
 
what to do in d ?
 
Can Any One Help Me?
 
  • #10
what to do in d ?
 
  • #11
please help hurry its due after 3 hours
 
  • #12
For D, draw a Free body diagram. Just draw the force vectors that act on a person. Please don't keep bumping this.
 
  • #13
PiratePhysicist said:
For D, draw a Free body diagram. Just draw the force vectors that act on a person. Please don't keep bumping this.
than u . can u help me in e. what formula i need to use in e.
 
  • #14
Well, in this case we need a frictional force equal to the gravitational force (atleast). And a frictional force is dependent on the normal force, which in this case will be the centripetal force. So:
F_f=F_g

\mu F_C=F_g

\mu m \omega r = mg

\mu \omega r = g

\omega = \frac{g}{\mu r}

Then you just need to convert the angular frequency to a frequency using
\omega = 2 \pi f
 
  • #15
what is w is that v^2
 
  • #16
\omega is the angular velocity:
\omega = \frac{v^2}{r}
 
  • #17
PiratePhysicist said:
\omega is the angular velocity:
\omega = \frac{v^2}{r}
ok

\mu m \omega r = mg

why u wrote one more r
 
  • #18
Whoops, I typo'ed twice
It's:
\omega = \frac{v}{r}
and
F_c=m\frac{v^2}{r}=m\omega^2 r
So
\mu m\omega^2r=mg
\omega=\sqrt{\frac{g}{\mu r}}
 
  • #19
please hep
 

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