A car goes around a vertical circle (Uniform Circular Motion)


by Chandasouk
Tags: circle, circular, motion, uniform, vertical
Chandasouk
Chandasouk is offline
#1
Oct30-09, 06:50 PM
P: 165
1. The problem statement, all variables and given/known data


A small remote-control car with a mass of 1.51 kg moves at a constant speed of v = 12.0 m/s in a vertical circle inside a hollow metal cylinder that has a radius of 5.00 m.




What is the magnitude of the normal force exerted on the car by the walls of the cylinder at point A (at the bottom of the vertical circle)?

What is the magnitude of the normal force exerted on the car by the walls of the cylinder at point B (at the top of the vertical circle)?


Do I utilize Fnet = ma which would give me 43.488N as Fnet, but I do not see how that would help? I don't know what to do.
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tnutty
tnutty is offline
#2
Oct30-09, 06:53 PM
P: 328
Try drawing a force diagram when the car in at the bottom of the cylinder and when its
at the top of the cylinder.
Chandasouk
Chandasouk is offline
#3
Oct30-09, 07:04 PM
P: 165
For Part A, it would just be Fn pointing up and w pointing down.

w=mg so (1.51kg)(-9.8) = -14.798N so Fn must be 14.798N ?


Would part B basically be the same?

pr0blumz
pr0blumz is offline
#4
Oct30-09, 07:13 PM
P: 66

A car goes around a vertical circle (Uniform Circular Motion)


F_y = m*a_y
a_y = v^2/r

Does that help?
tnutty
tnutty is offline
#5
Oct30-09, 07:13 PM
P: 328
For part A it should be N - mg = 0, right ? Since mg is pointing down thus N has to be
pointing up.

For part B its not quite the same.


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