# A stirring Rod in a hemispherical bowl

1. Dec 10, 2006

### loisse

[. The problem statement, all variables and given/known data
Once you place a stirring rod (uniform density) of length 2R in a frictionless hemispherical bowl of radius R, it always comes to rest after one of its ends makes an angle of θ0 with respect to the vertical
(diagram attached)

a) derive a root equation for f(θ)=0 that can be used to solve for θ0]
b) what is the numerical value of θ0?

2. Relevant equations

none

3. The attempt at a solution

sorry but I dont know the concepts that can be used to solve such problem. please help me. Thank you very much
we are currently taking up oscillations and i tried to relate it but i end up totally messed up.

#### Attached Files:

• ###### s.JPG
File size:
5.4 KB
Views:
143
2. Dec 10, 2006

### Meir Achuz

The rod is touched by the bowl at two points where there is a radial force on the rod. Draw a free body diagram and wrilte the force and torque equations.
Include mg at the center of the rod.