2007-12-06 - More examples
Today's nonsense
- Homework due tomorrow.
- Averytoss contest
"If I get hurt, I will not hold anyone responsible." - Avery.
Sum of F_(y) = Fcos(theta) - mg = 0
Sum of F_(r) = Fsin(theta) = ma_(r) = mv^(2) / r
F = mg/cos(theta) = mv^(2) / rsin(theta)
tan(theta) = v^(2) / rg
T = 1.675 seconds per revolution
If you want to find the force, you need to know the mass.
Velocity, we said, is 2 pi * r / T.
tan(theta) = (2pi * r)^(2) / rgT^(2)
r = gT^(2)tan(theta) / (4 pi^(2))
r = (9.81)(1.675)^(2) tan(42.967) / (4 pi^(2))
r = 0.637 m