- #1
Joseph Hotto
Homework Statement
A 2 kg tetherball swings around a vertical pole attached to two ropes each at a 30 degree angle from vertical. Each supporting rope is 1.5 meters long, and the ball travels at 8 m/s long.
Homework Equations
The question doesn't ask what they're looking for, so I assume they are looking for the tension of the rope.
- Tension is split into a Tx and Ty component
- We draw two free body diagrams, one with a birds eye view and one with a table view.
The Attempt at a Solution
ΣFy = Tcosθ - mg
0 = Tcos(30) - 19.6
Tcos(30) = 19.6
19.6/cos(30) = T
22.6 = T
ΣFx = Tsinθ - mg
0 = Tsin(30)-19.6
0.5T = 19.6
T = 39.2
R = L * sin(30 degrees)
R = 1.5 * 0.5 = 0.75 m
- Did I do anything wrong so far?