- #1
MrDaahl
- 9
- 0
Homework Statement
A small lump of ice is sliding down a large, smooth sphere with a radius R. The lump is initially at rest. To get it started, it starts from a position slightly right to the sphere's top, but you can count it to start from the top. The lump is fallowing the sphere for a certain amount of time as shown in the figure. The sphere does not move.
http://i.tinyuploads.com/r6tkWK.png
2. Questions
a) Write an expression for the ice lump velocity when it is has slided down the angle.
b) Draw a force diagram on the block when it has slided down to the angle.
c) Determine the normal force size when the ice lump has completed the angle.
When the angle is large enough, the ice block no longer follow the sphere's surface, but fall freely.
d) Decide/Calculate this angle.
The Attempt at a Solution
So I am pretty sure i got the solution for queation a) :
When you guys said "Use conservation energy" i thought about using the radius to calculate the height of the circle. I puzzled abit with some formulas and got this equation:
mgh = 3/4mv^2
In question b) i made a FBD diagram to show where the forces are pointing. It looks like this:
http://i.tinyuploads.com/HSSjC4.png
The c) solution must be like this:
Fn = -FT
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