Centripetal Force: Solving with Tension in a Cylinder

AI Thread Summary
The discussion revolves around solving a physics problem related to centripetal force and tension in a cylindrical ride. Participants emphasize the importance of identifying the physical object exerting the force and the relationship between vertical velocity, acceleration, and forces acting on the riders. A free body diagram is suggested to visualize the forces at play. The conversation also includes the derivation of formulas linking frictional force, gravitational force, and angular velocity. The final equations provided clarify the relationship between these forces and the necessary conditions for the ride's operation.
raman911
Messages
130
Reaction score
0

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:
Physics news on Phys.org
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
 
Back
Top