 206
 4
1. Homework Statement
l=2m
b=1.5m
The mass of the chair is 5kg.
A boy with a mass of 50kg sits on the chair.
The distance of the chair from the pole is 3m, and it spins around it horizontally with a radial velocity of 1.95 rad/s.
The boy drops a ball at some moment, what would be its distance from the pole when it hits the ground if the distance of the chair from the ground when it doesn't spin is 0.5m?
2. Homework Equations
3. The Attempt at a Solution
First I drew this:
ω^{2}r=v^{2}/r
v=5.85m/s (The velocity of the ball when the boy drops it, all of it horizontal.
Then 1.177=5t^{2} (The times it will take the ball to hit the ground).
t=0.4851
Δx=vt=2.8378m
Total distance from the pole: √(3^2+2.8378^2)=4.13m
The answer in the book is 12.42m, I have no idea how they could possible reach to such a large distance.
l=2m
b=1.5m
The mass of the chair is 5kg.
A boy with a mass of 50kg sits on the chair.
The distance of the chair from the pole is 3m, and it spins around it horizontally with a radial velocity of 1.95 rad/s.
The boy drops a ball at some moment, what would be its distance from the pole when it hits the ground if the distance of the chair from the ground when it doesn't spin is 0.5m?
2. Homework Equations
3. The Attempt at a Solution
First I drew this:
ω^{2}r=v^{2}/r
v=5.85m/s (The velocity of the ball when the boy drops it, all of it horizontal.
Then 1.177=5t^{2} (The times it will take the ball to hit the ground).
t=0.4851
Δx=vt=2.8378m
Total distance from the pole: √(3^2+2.8378^2)=4.13m
The answer in the book is 12.42m, I have no idea how they could possible reach to such a large distance.
Attachments

4.6 KB Views: 549

1.8 KB Views: 178