Pellet on top of cylinder


by Bling
Tags: cylinder, pellet
Bling
Bling is offline
#1
Feb18-04, 04:28 PM
P: 4
I need a little help with this problem.

There is a small 0.2kg pellet sitting on the top of a cylinder of radius 0.8m.

What is the value of the angle at which the pellet loses contact with the surface of the cylinder?

I just need a little help on how to get started with this one. I was thinking about finding the point where the normal and tangential acceleration of the pellet were equal, but wasn't sure if this was the right path.

Any other additional help would be greatly accepted.
Phys.Org News Partner Science news on Phys.org
Simplicity is key to co-operative robots
Chemical vapor deposition used to grow atomic layer materials on top of each other
Earliest ancestor of land herbivores discovered
Doc Al
Doc Al is online now
#2
Feb18-04, 06:43 PM
Mentor
Doc Al's Avatar
P: 40,875
Originally posted by Bling
I just need a little help on how to get started with this one. I was thinking about finding the point where the normal and tangential acceleration of the pellet were equal, but wasn't sure if this was the right path.
First, realize that the pellet is centripetally accelerated when it follows the cylinder. Then consider that the pellet leaves the cylinder when the normal force equals zero.
Bling
Bling is offline
#3
Feb18-04, 11:18 PM
P: 4
I know the value of the normal acceleration is V^2/R, but how is this used to find the angle?

Bling
Bling is offline
#4
Feb18-04, 11:23 PM
P: 4

Pellet on top of cylinder


Also, I know how to find the velocity of the pellet at a given angle. Does this lead to the answer?
NateTG
NateTG is offline
#5
Feb19-04, 12:19 AM
Sci Advisor
HW Helper
P: 2,538
You know what the forces are:
The normal force and gravity. If you draw an FBD, you can determine the magnitude of the maximal centipetal acceleration due to gravity as a function of the angle of the pellet on the cylinder, and thus the height.

Clearly the pellet leaves when the two are equal.


Register to reply

Related Discussions
HELP: contact area of Cylinder inside a larger Cylinder? General Math 6
gas flows from cylinder A to cylinder B Advanced Physics Homework 4
Annealing before and after pellet formation Atomic, Solid State, Comp. Physics 3
Given a cylinder of vertical height, H and radius R. h = H/R General Math 1
LPG Cylinder General Physics 3